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103202100023121 = 32114371734677391
BaseRepresentation
bin10111011101110010011100…
…100000110000111101010001
3111112102000122210102201101100
4113131302130200300331101
5102011330400101214441
61003254220143055013
730511051150224621
oct2735623440607521
9445360583381340
10103202100023121
112a979845a98550
12b6a93125a1469
134577bbb090538
141b6b018a80881
15bde7cba06cb6
hex5ddc9c830f51

103202100023121 has 96 divisors (see below), whose sum is σ = 171058736369664. Its totient is φ = 59406594912000.

The previous prime is 103202100023069. The next prime is 103202100023203. The reversal of 103202100023121 is 121320001202301.

103202100023121 is a `hidden beast` number, since 10 + 320 + 2 + 100 + 0 + 231 + 2 + 1 = 666.

It is not a de Polignac number, because 103202100023121 - 217 = 103202099892049 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103202100023094 and 103202100023103.

It is not an unprimeable number, because it can be changed into a prime (103202100022121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19725336 + ... + 24402726.

It is an arithmetic number, because the mean of its divisors is an integer number (1781861837184).

Almost surely, 2103202100023121 is an apocalyptic number.

103202100023121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103202100023121 is a deficient number, since it is larger than the sum of its proper divisors (67856636346543).

103202100023121 is a wasteful number, since it uses less digits than its factorization.

103202100023121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4677595 (or 4677592 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103202100023121 its reverse (121320001202301), we get a palindrome (224522101225422).

The spelling of 103202100023121 in words is "one hundred three trillion, two hundred two billion, one hundred million, twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 43 71 73 99 129 213 219 387 473 639 657 781 803 1419 2343 2409 3053 3139 4257 5183 7029 7227 9159 9417 15549 27477 28251 33583 34529 46647 57013 100749 103587 171039 222869 302247 310761 513117 668607 2005821 2451559 4677391 7354677 14032173 22064031 42096519 51451301 154353903 201127813 332094761 341449543 463061709 603383439 996284283 1024348629 1810150317 2212405943 2988852849 3073045887 3653042371 3755944973 6637217829 10959127113 11267834919 14280074723 14682330349 19911653487 24242917553 32877381339 33803504757 42840224169 44046991047 72728752659 128520672507 132140973141 157080821953 161505633839 218186257977 266672093083 471242465859 484516901517 800016279249 1042445454779 1413727397577 1453550704551 2400048837747 3127336364337 9382009093011 11466900002569 34400700007707 103202100023121