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13102232304 = 243735411471
BaseRepresentation
bin11000011001111010…
…00011001011110000
31020211010011100211010
430030331003023300
5203313132413204
610004042150520
7642454065000
oct141475031360
936733140733
1013102232304
115613961067
122657ab2440
13130a6175a5
148c417c000
1551a3e7d89
hex30cf432f0

13102232304 has 160 divisors (see below), whose sum is σ = 39572070400. Its totient is φ = 3734035200.

The previous prime is 13102232303. The next prime is 13102232321. The reversal of 13102232304 is 40323220131.

It is a super-2 number, since 2×131022323042 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102232303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8906289 + ... + 8907759.

It is an arithmetic number, because the mean of its divisors is an integer number (247325440).

Almost surely, 213102232304 is an apocalyptic number.

13102232304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13102232304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19786035200).

13102232304 is an abundant number, since it is smaller than the sum of its proper divisors (26469838096).

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

13102232304 is a wasteful number, since it uses less digits than its factorization.

13102232304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13102232304 its reverse (40323220131), we get a palindrome (53425452435).

The spelling of 13102232304 in words is "thirteen billion, one hundred two million, two hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 541 588 686 784 1029 1082 1176 1372 1471 1623 2058 2164 2352 2744 2942 3246 3787 4116 4328 4413 5488 5884 6492 7574 8232 8656 8826 10297 11361 11768 12984 15148 16464 17652 20594 22722 23536 25968 26509 30296 30891 35304 41188 45444 53018 60592 61782 70608 72079 79527 82376 90888 106036 123564 144158 159054 164752 181776 185563 212072 216237 247128 288316 318108 371126 424144 432474 494256 504553 556689 576632 636216 742252 795811 864948 1009106 1113378 1153264 1272432 1484504 1513659 1591622 1729896 2018212 2226756 2387433 2969008 3027318 3183244 3459792 4036424 4453512 4774866 5570677 6054636 6366488 8072848 8907024 9549732 11141354 12109272 12732976 16712031 19099464 22282708 24218544 33424062 38198928 38994739 44565416 66848124 77989478 89130832 116984217 133696248 155978956 233968434 267392496 272963173 311957912 467936868 545926346 623915824 818889519 935873736 1091852692 1637779038 1871747472 2183705384 3275558076 4367410768 6551116152 13102232304