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13123032132 = 2237538129033
BaseRepresentation
bin11000011100011000…
…11001010001000100
31020212120022002211010
430032030121101010
5203333444012012
610010104042220
7643125634620
oct141614312104
936776262733
1013123032132
115624678301
122662a63370
131311a1aa92
148c6c34180
1551c155c3c
hex30e319444

13123032132 has 48 divisors (see below), whose sum is σ = 35002461312. Its totient is φ = 3748611840.

The previous prime is 13123032031. The next prime is 13123032133. The reversal of 13123032132 is 23123032131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13123032099 and 13123032108.

It is not an unprimeable number, because it can be changed into a prime (13123032133) 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 15 ways as a sum of consecutive naturals, for example, 437488 + ... + 466520.

It is an arithmetic number, because the mean of its divisors is an integer number (729217944).

Almost surely, 213123032132 is an apocalyptic number.

13123032132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13123032132 is an abundant number, since it is smaller than the sum of its proper divisors (21879429180).

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

13123032132 is a wasteful number, since it uses less digits than its factorization.

13123032132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34428 (or 34426 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13123032132 its reverse (23123032131), we get a palindrome (36246064263).

Subtracting 13123032132 from its reverse (23123032131), we obtain a palindrome (9999999999).

The spelling of 13123032132 in words is "thirteen billion, one hundred twenty-three million, thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 5381 10762 16143 21524 29033 32286 37667 58066 64572 75334 87099 113001 116132 150668 174198 203231 226002 348396 406462 452004 609693 812924 1219386 2438772 156226573 312453146 468679719 624906292 937359438 1093586011 1874718876 2187172022 3280758033 4374344044 6561516066 13123032132