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100220211012012 = 223713372480452703
BaseRepresentation
bin10110110010011001010110…
…000100111010000110101100
3111010211221212211012000002120
4112302121112010322012230
5101114001443004341022
6553052310200552540
730052446153643440
oct2662312604720654
9433757784160076
10100220211012012
1129a2a175420893
12b2a7421a82750
1343bc957781410
141aa6981226820
15b8be57291d5c
hex5b265613a1ac

100220211012012 has 96 divisors (see below), whose sum is σ = 295590587830272. Its totient is φ = 25717333614336.

The previous prime is 100220211012011. The next prime is 100220211012037. The reversal of 100220211012012 is 210210112022001.

It is a super-2 number, since 2×1002202110120122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100220211011982 and 100220211012000.

It is not an unprimeable number, because it can be changed into a prime (100220211012011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1240185948 + ... + 1240266755.

It is an arithmetic number, because the mean of its divisors is an integer number (3079068623232).

Almost surely, 2100220211012012 is an apocalyptic number.

100220211012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100220211012012 is an abundant number, since it is smaller than the sum of its proper divisors (195370376818260).

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

100220211012012 is a wasteful number, since it uses less digits than its factorization.

100220211012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480452767 (or 2480452765 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100220211012012 its reverse (210210112022001), we get a palindrome (310430323034013).

The spelling of 100220211012012 in words is "one hundred trillion, two hundred twenty billion, two hundred eleven million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 52 74 78 84 91 111 148 156 182 222 259 273 364 444 481 518 546 777 962 1036 1092 1443 1554 1924 2886 3108 3367 5772 6734 10101 13468 20202 40404 2480452703 4960905406 7441358109 9921810812 14882716218 17363168921 29765432436 32245885139 34726337842 52089506763 64491770278 69452675684 91776750011 96737655417 104179013526 128983540556 183553500022 193475310834 208358027052 225721195973 275330250033 367107000044 386950621668 451442391946 550660500066 642437250077 677163587919 902884783892 1101321000132 1193097750143 1284874500154 1354327175838 1927311750231 2386195500286 2569749000308 2708654351676 3579293250429 3854623500462 4772391000572 7158586500858 7709247000924 8351684251001 14317173001716 16703368502002 25055052753003 33406737004004 50110105506006 100220211012012