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102212265344 = 277114076189
BaseRepresentation
bin101111100110001010…
…0110110010110000000
3100202211100102001210012
41133030110312112000
53133312314442334
6114542231324052
710245625630460
oct1371424662600
9322740361705
10102212265344
113a391182872
1217986820628
13983bc46aa7
144d38bb1ba0
1529d357a9ce
hex17cc536580

102212265344 has 32 divisors (see below), whose sum is σ = 232715427600. Its totient is φ = 43805256192.

The previous prime is 102212265313. The next prime is 102212265409. The reversal of 102212265344 is 443562212201.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 102212265344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57037199 + ... + 57038990.

Almost surely, 2102212265344 is an apocalyptic number.

102212265344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102212265344 is an abundant number, since it is smaller than the sum of its proper divisors (130503162256).

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

102212265344 is an equidigital number, since it uses as much as digits as its factorization.

102212265344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114076210 (or 114076198 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 102212265344 its reverse (443562212201), we get a palindrome (545774477545).

The spelling of 102212265344 in words is "one hundred two billion, two hundred twelve million, two hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 114076189 228152378 456304756 798533323 912609512 1597066646 1825219024 3194133292 3650438048 6388266584 7300876096 12776533168 14601752192 25553066336 51106132672 102212265344