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13123816902 = 2327263123581
BaseRepresentation
bin11000011100011110…
…11000110111000110
31020212121202222022200
430032033120313012
5203334144120102
610010132535330
7643135413600
oct141617306706
936777688280
1013123816902
115625063979
122663181546
131311c34041
148c6d9a170
1551c25d51c
hex30e3d8dc6

13123816902 has 72 divisors (see below), whose sum is σ = 33131200752. Its totient is φ = 3743560800.

The previous prime is 13123816897. The next prime is 13123816903. The reversal of 13123816902 is 20961832131.

13123816902 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123816903) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 544752 + ... + 568332.

It is an arithmetic number, because the mean of its divisors is an integer number (460155566).

Almost surely, 213123816902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13123816902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16565600376).

13123816902 is an abundant number, since it is smaller than the sum of its proper divisors (20007383850).

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

13123816902 is a wasteful number, since it uses less digits than its factorization.

13123816902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24234 (or 24224 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 13123816902 in words is "thirteen billion, one hundred twenty-three million, eight hundred sixteen thousand, nine hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 631 882 1262 1893 3786 4417 5679 8834 11358 13251 23581 26502 30919 39753 47162 61838 70743 79506 92757 141486 165067 185514 212229 278271 330134 424458 495201 556542 990402 1155469 1485603 2310938 2971206 3466407 6932814 10399221 14879611 20798442 29759222 44638833 89277666 104157277 133916499 208314554 267832998 312471831 624943662 729100939 937415493 1458201878 1874830986 2187302817 4374605634 6561908451 13123816902