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2133101120220 = 22325716310386119
BaseRepresentation
bin11111000010100110101…
…111000000101011011100
321112220220111002022210100
4133002212233000223130
5234422042341321340
64311533315541100
7310053143234160
oct37024657005334
97486814068710
102133101120220
11752708a77494
122a54ab2ba790
131261c5a66a85
1475357b64ca0
153a74820b830
hex1f0a6bc0adc

2133101120220 has 144 divisors (see below), whose sum is σ = 7440117834240. Its totient is φ = 484574721408.

The previous prime is 2133101120207. The next prime is 2133101120291. The reversal of 2133101120220 is 220211013312.

2133101120220 is a `hidden beast` number, since 2 + 1 + 331 + 0 + 112 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2133101120193 and 2133101120202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4987680 + ... + 5398439.

It is an arithmetic number, because the mean of its divisors is an integer number (51667484960).

Almost surely, 22133101120220 is an apocalyptic number.

2133101120220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133101120220 is an abundant number, since it is smaller than the sum of its proper divisors (5307016714020).

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

2133101120220 is a wasteful number, since it uses less digits than its factorization.

2133101120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10386304 (or 10386299 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2133101120220 its reverse (220211013312), we get a palindrome (2353312133532).

The spelling of 2133101120220 in words is "two trillion, one hundred thirty-three billion, one hundred one million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 163 180 210 252 315 326 420 489 630 652 815 978 1141 1260 1467 1630 1956 2282 2445 2934 3260 3423 4564 4890 5705 5868 6846 7335 9780 10269 11410 13692 14670 17115 20538 22820 29340 34230 41076 51345 68460 102690 205380 10386119 20772238 31158357 41544476 51930595 62316714 72702833 93475071 103861190 124633428 145405666 155791785 186950142 207722380 218108499 290811332 311583570 363514165 373900284 436216998 467375355 623167140 654325497 727028330 872433996 934750710 1090542495 1308650994 1454056660 1692937397 1869501420 2181084990 2617301988 3271627485 3385874794 4362169980 5078812191 6543254970 6771749588 8464686985 10157624382 11850561779 13086509940 15236436573 16929373970 20315248764 23701123558 25394060955 30472873146 33858747940 35551685337 47402247116 50788121910 59252808895 60945746292 71103370674 76182182865 101576243820 106655056011 118505617790 142206741348 152364365730 177758426685 213310112022 237011235580 304728731460 355516853370 426620224044 533275280055 711033706740 1066550560110 2133101120220