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100002201031212 = 22341491934944279
BaseRepresentation
bin10110101111001110010011…
…101010110101001000101100
3111010002010011022221111111020
4112233032103222311020230
5101101414001430444322
6552404213230254140
730030630523454664
oct2657162352651054
9433063138844436
10100002201031212
1129955771480537
12b27111a957350
1343a5223148a8c
141a9a1bd27b1a4
15b86447b4205c
hex5af393ab522c

100002201031212 has 96 divisors (see below), whose sum is σ = 239547502656000. Its totient is φ = 32450602329600.

The previous prime is 100002201031169. The next prime is 100002201031283. The reversal of 100002201031212 is 212130102200001.

It is a super-2 number, since 2×1000022010312122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100002201031191 and 100002201031200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2258434489 + ... + 2258478767.

It is an arithmetic number, because the mean of its divisors is an integer number (2495286486000).

Almost surely, 2100002201031212 is an apocalyptic number.

100002201031212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100002201031212 is an abundant number, since it is smaller than the sum of its proper divisors (139545301624788).

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

100002201031212 is a wasteful number, since it uses less digits than its factorization.

100002201031212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54167 (or 54165 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100002201031212 its reverse (212130102200001), we get a palindrome (312132303231213).

The spelling of 100002201031212 in words is "one hundred trillion, two billion, two hundred one million, thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 491 492 982 1473 1964 2946 5892 9349 18698 20131 28047 37396 40262 44279 56094 60393 80524 88558 112188 120786 132837 177116 241572 265674 383309 531348 766618 1149927 1533236 1815439 2299854 3630878 4590359 4599708 5446317 7261756 9180718 10892634 13771077 18361436 21740989 21785268 27542154 43481978 55084308 65222967 86963956 130445934 188204719 260891868 376409438 413964371 564614157 752818876 827928742 891380549 1129228314 1241893113 1655857484 1782761098 2258456628 2483786226 2674141647 3565522196 4967572452 5348283294 10696566588 16972539211 33945078422 50917617633 67890156844 101835235266 203256506161 203670470532 406513012322 609769518483 813026024644 1219539036966 2439078073932 8333516752601 16667033505202 25000550257803 33334067010404 50001100515606 100002201031212