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102112022433204 = 223271206893357443
BaseRepresentation
bin10111001101111011001110…
…110100110000110110110100
3111101112210222102010121102100
4113031323032310300312310
5101341000410220330304
61001101340541142100
730336231051464430
oct2715731664606664
9441483872117370
10102112022433204
112a599513677073
12b551bb185a930
1344c9178ba7344
141b303692dd9c0
15bc127c1d9439
hex5cdeced30db4

102112022433204 has 72 divisors (see below), whose sum is σ = 294992819110080. Its totient is φ = 29174613126912.

The previous prime is 102112022433167. The next prime is 102112022433221. The reversal of 102112022433204 is 402334220211201.

102112022433204 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 1 + 2 + 0 + 22 + 433 + 204 = 666.

It is a congruent number.

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, 28734907 + ... + 32092349.

It is an arithmetic number, because the mean of its divisors is an integer number (4097122487640).

Almost surely, 2102112022433204 is an apocalyptic number.

102112022433204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102112022433204 is an abundant number, since it is smaller than the sum of its proper divisors (192880796676876).

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

102112022433204 is a wasteful number, since it uses less digits than its factorization.

102112022433204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478149 (or 3478144 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 102112022433204 its reverse (402334220211201), we get a palindrome (504446242644405).

The spelling of 102112022433204 in words is "one hundred two trillion, one hundred twelve billion, twenty-two million, four hundred thirty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 120689 241378 362067 482756 724134 844823 1086201 1448268 1689646 2172402 2534469 3357443 3379292 4344804 5068938 6714886 7603407 10072329 10137876 13429772 15206814 20144658 23502101 30216987 30413628 40289316 47004202 60433974 70506303 94008404 120867948 141012606 211518909 282025212 423037818 846075636 405206438227 810412876454 1215619314681 1620825752908 2431238629362 2836445067589 3646857944043 4862477258724 5672890135178 7293715888086 8509335202767 11345780270356 14587431776172 17018670405534 25528005608301 34037340811068 51056011216602 102112022433204