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10120322321120 = 2551110335566489
BaseRepresentation
bin1001001101000101001000…
…1101111000101011100000
31022211111022122220110210002
42103101102031320223200
52311302410003233440
633305113433555132
72063112010243364
oct223212215705340
938744278813702
1010120322321120
113252006128830
121175477575aa8
1358545b05743b
1426db7d1b92a4
151283bd366115
hex93452378ae0

10120322321120 has 96 divisors (see below), whose sum is σ = 26108084993760. Its totient is φ = 3676553994240.

The previous prime is 10120322321101. The next prime is 10120322321147. The reversal of 10120322321120 is 2112322302101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10120322321092 and 10120322321101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 965165 + ... + 4601324.

It is an arithmetic number, because the mean of its divisors is an integer number (271959218685).

Almost surely, 210120322321120 is an apocalyptic number.

10120322321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120322321120 is an abundant number, since it is smaller than the sum of its proper divisors (15987762672640).

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

10120322321120 is a wasteful number, since it uses less digits than its factorization.

10120322321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567548 (or 5567540 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10120322321120 its reverse (2112322302101), we get a palindrome (12232644623221).

The spelling of 10120322321120 in words is "ten trillion, one hundred twenty billion, three hundred twenty-two million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1033 1760 2066 4132 5165 8264 10330 11363 16528 20660 22726 33056 41320 45452 56815 82640 90904 113630 165280 181808 227260 363616 454520 909040 1818080 5566489 11132978 22265956 27832445 44531912 55664890 61231379 89063824 111329780 122462758 178127648 222659560 244925516 306156895 445319120 489851032 612313790 890638240 979702064 1224627580 1959404128 2449255160 4898510320 5750183137 9797020640 11500366274 23000732548 28750915685 46001465096 57501831370 63252014507 92002930192 115003662740 126504029014 184005860384 230007325480 253008058028 316260072535 460014650960 506016116056 632520145070 920029301920 1012032232112 1265040290140 2024064464224 2530080580280 5060161160560 10120322321120