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102001112012 = 22314338894919
BaseRepresentation
bin101111011111110111…
…1010111001111001100
3100202021122002100212102
41132333233113033030
53132344241041022
6114505245454232
710240453101212
oct1367757271714
9322248070772
10102001112012
113a292a72188
1217927b71378
139807285ca7
144d18b28cb2
1529bec6ba92
hex17bfbd73cc

102001112012 has 48 divisors (see below), whose sum is σ = 188632012800. Its totient is φ = 48185383680.

The previous prime is 102001112009. The next prime is 102001112023. The reversal of 102001112012 is 210211100201.

It is a junction number, because it is equal to n+sod(n) for n = 102001111984 and 102001112002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20733689 + ... + 20738607.

It is an arithmetic number, because the mean of its divisors is an integer number (3929833600).

Almost surely, 2102001112012 is an apocalyptic number.

It is an amenable number.

102001112012 is a deficient number, since it is larger than the sum of its proper divisors (86630900788).

102001112012 is a wasteful number, since it uses less digits than its factorization.

102001112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8886 (or 8884 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102001112012 its reverse (210211100201), we get a palindrome (312212212213).

The spelling of 102001112012 in words is "one hundred two billion, one million, one hundred twelve thousand, twelve".

Divisors: 1 2 4 31 43 62 86 124 172 1333 2666 3889 4919 5332 7778 9838 15556 19676 120559 152489 167227 211517 241118 304978 334454 423034 482236 609956 668908 846068 5184037 6557027 10368074 13114054 19129991 20736148 26228108 38259982 76519964 593029721 822589613 1186059442 1645179226 2372118884 3290358452 25500278003 51000556006 102001112012