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132100010023120 = 245191812143224057
BaseRepresentation
bin11110000010010011101110…
…001011000001100011010000
3122022201122012211100201010021
4132002103232023001203100
5114303311310031214440
61144541523512513224
736552624252322126
oct3602235613014320
9568648184321107
10132100010023120
11391003328aa687
1212995a4a0ab814
135892c92728219
14248996315b916
1510413575e084a
hex7824ee2c18d0

132100010023120 has 160 divisors (see below), whose sum is σ = 325236713518080. Its totient is φ = 49758930063360.

The previous prime is 132100010023097. The next prime is 132100010023133. The reversal of 132100010023120 is 21320010001231.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 132100010023094 and 132100010023103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 589470132 + ... + 589694188.

It is an arithmetic number, because the mean of its divisors is an integer number (2032729459488).

Almost surely, 2132100010023120 is an apocalyptic number.

132100010023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132100010023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162618356759040).

132100010023120 is an abundant number, since it is smaller than the sum of its proper divisors (193136703494960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132100010023120 is a wasteful number, since it uses less digits than its factorization.

132100010023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226413 (or 226407 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 132100010023120 its reverse (21320010001231), we get a palindrome (153420020024351).

The spelling of 132100010023120 in words is "one hundred thirty-two trillion, one hundred billion, ten million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 181 190 304 362 380 724 760 905 1448 1520 1810 2143 2896 3439 3620 4286 6878 7240 8572 10715 13756 14480 17144 17195 21430 27512 34288 34390 40717 42860 55024 68780 81434 85720 137560 162868 171440 203585 224057 275120 325736 387883 407170 448114 651472 775766 814340 896228 1120285 1551532 1628680 1792456 1939415 2240570 3103064 3257360 3584912 3878830 4257083 4481140 6206128 7369777 7757660 8514166 8962280 14739554 15515320 17028332 17924560 21285415 29479108 31030640 34056664 36848885 40554317 42570830 58958216 68113328 73697770 81108634 85141660 117916432 147395540 162217268 170283320 202771585 294791080 324434536 340566640 405543170 480154151 589582160 648869072 770532023 811086340 960308302 1541064046 1622172680 1920616604 2400770755 3082128092 3244345360 3841233208 3852660115 4801541510 6164256184 7682466416 7705320230 9122928869 9603083020 12328512368 15410640460 18245857738 19206166040 30821280920 36491715476 38412332080 45614644345 61642561840 72983430952 86907901331 91229288690 145966861904 173815802662 182458577380 347631605324 364917154760 434539506655 695263210648 729834309520 869079013310 1390526421296 1651250125289 1738158026620 3302500250578 3476316053240 6605000501156 6952632106480 8256250626445 13210001002312 16512501252890 26420002004624 33025002505780 66050005011560 132100010023120