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100022132130320 = 24523325125498387
BaseRepresentation
bin10110101111100000110111…
…101001111100001000010000
3111010011000121100211020111002
4112233200313221330020100
5101102230311311132240
6552421311055041132
730032234451143441
oct2657406751741020
9433130540736432
10100022132130320
112996316a01a274
12b274b618101a8
1343a707b47b24a
141a9b1503492c8
15b86c127ecd15
hex5af837a7c210

100022132130320 has 160 divisors (see below), whose sum is σ = 234599965891200. Its totient is φ = 39658131968000.

The previous prime is 100022132130307. The next prime is 100022132130367. The reversal of 100022132130320 is 23031231220001.

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 = 100022132130292 and 100022132130301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11925849167 + ... + 11925857553.

It is an arithmetic number, because the mean of its divisors is an integer number (1466249786820).

Almost surely, 2100022132130320 is an apocalyptic number.

100022132130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022132130320 is an abundant number, since it is smaller than the sum of its proper divisors (134577833760880).

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

100022132130320 is a wasteful number, since it uses less digits than its factorization.

100022132130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11433 (or 11427 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 100022132130320 its reverse (23031231220001), we get a palindrome (123053363350321).

The spelling of 100022132130320 in words is "one hundred trillion, twenty-two billion, one hundred thirty-two million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 233 251 466 502 932 1004 1165 1255 1864 2008 2330 2510 2549 3728 4016 4660 5020 5098 8387 9320 10040 10196 12745 16774 18640 20080 20392 25490 33548 40784 41935 50980 58483 67096 83870 101960 116966 134192 167740 203920 233932 292415 335480 467864 584830 593917 639799 670960 935728 1169660 1187834 1279598 1954171 2105137 2339320 2375668 2559196 2969585 3198995 3908342 4210274 4678640 4751336 5118392 5939170 6397990 7816684 8420548 9502672 9770855 10236784 10525685 11878340 12795980 15633368 16841096 19541710 21051370 21378463 23756680 25591960 31266736 33682192 39083420 42102740 42756926 47513360 51183920 78166840 84205480 85513852 106892315 149073167 156333680 168410960 171027704 213784630 298146334 342055408 427569260 490496921 596292668 745365835 855138520 980993842 1192585336 1490731670 1710277040 1961987684 2385170672 2452484605 2981463340 3923975368 4904969210 4981181879 5365994213 5962926680 7847950736 9809938420 9962363758 10731988426 11925853360 19619876840 19924727516 21463976852 24905909395 26829971065 39239753680 39849455032 42927953704 49811818790 53659942130 79698910064 85855907408 99623637580 107319884260 199247275160 214639768520 398494550320 429279537040 1250276651629 2500553303258 5001106606516 6251383258145 10002213213032 12502766516290 20004426426064 25005533032580 50011066065160 100022132130320