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102025151616 = 2731012630599
BaseRepresentation
bin101111100000100101…
…1000100010010000000
3100202100022022201000010
41133001023010102000
53132421414322431
6114511505024520
710241164323423
oct1370113042200
9322308281003
10102025151616
113a2a55a1523
1217934025140
13980c251ccb
144d1bdc59ba
1529c1e19846
hex17c12c4480

102025151616 has 64 divisors (see below), whose sum is σ = 273687624000. Its totient is φ = 33671654400.

The previous prime is 102025151597. The next prime is 102025151617. The reversal of 102025151616 is 616151520201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1020251516162 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102025151617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1276516 + ... + 1354083.

It is an arithmetic number, because the mean of its divisors is an integer number (4276369125).

Almost surely, 2102025151616 is an apocalyptic number.

102025151616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102025151616 is an abundant number, since it is smaller than the sum of its proper divisors (171662472384).

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

102025151616 is a wasteful number, since it uses less digits than its factorization.

102025151616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630717 (or 2630705 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

Adding to 102025151616 its reverse (616151520201), we get a palindrome (718176671817).

The spelling of 102025151616 in words is "one hundred two billion, twenty-five million, one hundred fifty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 303 384 404 606 808 1212 1616 2424 3232 4848 6464 9696 12928 19392 38784 2630599 5261198 7891797 10522396 15783594 21044792 31567188 42089584 63134376 84179168 126268752 168358336 252537504 265690499 336716672 505075008 531380998 797071497 1010150016 1062761996 1594142994 2125523992 3188285988 4251047984 6376571976 8502095968 12753143952 17004191936 25506287904 34008383872 51012575808 102025151616