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13131404132 = 2271146392083
BaseRepresentation
bin11000011101011000…
…10101001101100100
31020220011001110001012
430032230111031210
5203343114413012
610011003321352
7643260044030
oct141654251544
936804043035
1013131404132
115629376310
122665820258
13131368c622
148c7db31c0
1551cc5b622
hex30eb15364

13131404132 has 48 divisors (see below), whose sum is σ = 28712527872. Its totient is φ = 5105026080.

The previous prime is 13131404123. The next prime is 13131404149. The reversal of 13131404132 is 23140413131.

It is a junction number, because it is equal to n+sod(n) for n = 13131404098 and 13131404107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96563 + ... + 188645.

It is an arithmetic number, because the mean of its divisors is an integer number (598177664).

Almost surely, 213131404132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131404132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14356263936).

13131404132 is an abundant number, since it is smaller than the sum of its proper divisors (15581123740).

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

13131404132 is a wasteful number, since it uses less digits than its factorization.

13131404132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92568 (or 92566 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 13131404132 its reverse (23140413131), we get a palindrome (36271817263).

The spelling of 13131404132 in words is "thirteen billion, one hundred thirty-one million, four hundred four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 463 926 1852 3241 5093 6482 10186 12964 20372 35651 71302 92083 142604 184166 368332 644581 1012913 1289162 2025826 2578324 4051652 7090391 14180782 28361564 42634429 85268858 170537716 298441003 468978719 596882006 937957438 1193764012 1875914876 3282851033 6565702066 13131404132