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102123214011 = 32713177334857
BaseRepresentation
bin101111100011100000…
…1001001010010111011
3100202121010211210022200
41133013001021102323
53133122020322021
6114525330521243
710243464665550
oct1370701112273
9322533753280
10102123214011
113a34598a225
1217960a36223
1398266678b0
144d2b030a27
1529ca83a126
hex17c70494bb

102123214011 has 48 divisors (see below), whose sum is σ = 192231958464. Its totient is φ = 50698524672.

The previous prime is 102123214009. The next prime is 102123214049. The reversal of 102123214011 is 110412321201.

102123214011 is a `hidden beast` number, since 10 + 21 + 232 + 1 + 401 + 1 = 666.

It is not a de Polignac number, because 102123214011 - 21 = 102123214009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102123210011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3653506 + ... + 3681351.

It is an arithmetic number, because the mean of its divisors is an integer number (4004832468).

Almost surely, 2102123214011 is an apocalyptic number.

102123214011 is a deficient number, since it is larger than the sum of its proper divisors (90108744453).

102123214011 is a wasteful number, since it uses less digits than its factorization.

102123214011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7334900 (or 7334897 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102123214011 its reverse (110412321201), we get a palindrome (212535535212).

It can be divided in two parts, 10212 and 3214011, that added together give a palindrome (3224223).

The spelling of 102123214011 in words is "one hundred two billion, one hundred twenty-three million, two hundred fourteen thousand, eleven".

Divisors: 1 3 7 9 13 17 21 39 51 63 91 117 119 153 221 273 357 663 819 1071 1547 1989 4641 13923 7334857 22004571 51343999 66013713 95353141 124692569 154031997 286059423 374077707 462095991 667471987 858178269 872847983 1122233121 1621003397 2002415961 2618543949 4863010191 6007247883 7855631847 11347023779 14589030573 34041071337 102123214011