Search a number
-
+
13102314505536 = 263197346402139
BaseRepresentation
bin1011111010101001111011…
…0011010100010101000000
31201101120100211021221020110
42332222132303110111000
53204132020003134121
643511041543311320
72521416365504424
oct276523663242500
951346324257213
1013102314505536
1141a1729a64093
12157739674b540
13740709b4b559
1433422660cb84
1517ac4bbaad76
hexbea9ecd4540

13102314505536 has 56 divisors (see below), whose sum is σ = 34842512849760. Its totient is φ = 4345268419072.

The previous prime is 13102314505487. The next prime is 13102314505549. The reversal of 13102314505536 is 63550541320131.

13102314505536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13102314505494 and 13102314505503.

It is a congruent number.

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, 173163246 + ... + 173238893.

It is an arithmetic number, because the mean of its divisors is an integer number (622187729460).

Almost surely, 213102314505536 is an apocalyptic number.

13102314505536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13102314505536 is an abundant number, since it is smaller than the sum of its proper divisors (21740198344224).

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

13102314505536 is a wasteful number, since it uses less digits than its factorization.

13102314505536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346402351 (or 346402341 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

Adding to 13102314505536 its reverse (63550541320131), we get a palindrome (76652855825667).

The spelling of 13102314505536 in words is "thirteen trillion, one hundred two billion, three hundred fourteen million, five hundred five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 197 394 591 788 1182 1576 2364 3152 4728 6304 9456 12608 18912 37824 346402139 692804278 1039206417 1385608556 2078412834 2771217112 4156825668 5542434224 8313651336 11084868448 16627302672 22169736896 33254605344 66509210688 68241221383 136482442766 204723664149 272964885532 409447328298 545929771064 818894656596 1091859542128 1637789313192 2183719084256 3275578626384 4367438168512 6551157252768 13102314505536