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100210100020100 = 22527178380290121
BaseRepresentation
bin10110110010001111111011…
…011010100010001110000100
3111010210222210011120101200122
4112302033323122202032010
5101113320241101120400
6553043515011201112
730051640460636060
oct2662177332421604
9433728704511618
10100210100020100
1129a25956a97a24
12b2a547b8a6198
1343bba05aa2275
141aa62a2450aa0
15b8ba647ac685
hex5b23fb6a2384

100210100020100 has 72 divisors (see below), whose sum is σ = 248660434796928. Its totient is φ = 34338478521600.

The previous prime is 100210100020099. The next prime is 100210100020111. The reversal of 100210100020100 is 1020001012001.

It is a super-3 number, since 3×1002101000201003 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38896961 + ... + 41393160.

Almost surely, 2100210100020100 is an apocalyptic number.

100210100020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210100020100 is an abundant number, since it is smaller than the sum of its proper divisors (148450334776828).

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

100210100020100 is a wasteful number, since it uses less digits than its factorization.

100210100020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80291925 (or 80291918 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100210100020100 its reverse (1020001012001), we get a palindrome (101230101032101).

The spelling of 100210100020100 in words is "one hundred trillion, two hundred ten billion, one hundred million, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1783 3566 7132 8915 12481 17830 24962 35660 44575 49924 62405 89150 124810 178300 249620 312025 624050 1248100 80290121 160580242 321160484 401450605 562030847 802901210 1124061694 1605802420 2007253025 2248123388 2810154235 4014506050 5620308470 8029012100 11240616940 14050771175 28101542350 56203084700 143157285743 286314571486 572629142972 715786428715 1002101000201 1431572857430 2004202000402 2863145714860 3578932143575 4008404000804 5010505001005 7157864287150 10021010002010 14315728574300 20042020004020 25052525005025 50105050010050 100210100020100