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102013121132 = 22133795176229
BaseRepresentation
bin101111100000001110…
…1001011001001101100
3100202022110200111021122
41133000131023021230
53132410324334012
6114510355120112
710240660136216
oct1370035131154
9322273614248
10102013121132
113a29982487a
121792bba3038
1398098cc190
144d1a5735b6
1529c0d3ee72
hex17c074b26c

102013121132 has 24 divisors (see below), whose sum is σ = 192762805200. Its totient is φ = 46958740416.

The previous prime is 102013121123. The next prime is 102013121143. The reversal of 102013121132 is 231121310201.

102013121132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1020131211322 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102013121132.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2568407 + ... + 2607822.

It is an arithmetic number, because the mean of its divisors is an integer number (8031783550).

Almost surely, 2102013121132 is an apocalyptic number.

It is an amenable number.

102013121132 is a deficient number, since it is larger than the sum of its proper divisors (90749684068).

102013121132 is a wasteful number, since it uses less digits than its factorization.

102013121132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5176625 (or 5176623 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102013121132 its reverse (231121310201), we get a palindrome (333134431333).

The spelling of 102013121132 in words is "one hundred two billion, thirteen million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 13 26 52 379 758 1516 4927 9854 19708 5176229 10352458 20704916 67290977 134581954 269163908 1961790791 3923581582 7847163164 25503280283 51006560566 102013121132