Search a number
-
+
13201622532 = 2232727483913
BaseRepresentation
bin11000100101110000…
…01100011000000100
31021002001011220120200
430102320030120010
5204014103410112
610021552330500
7645101640300
oct142270143004
937061156520
1013201622532
115664a7644a
122685243a30
1313250a6687
148d3450d00
15523ecbcdc
hex312e0c604

13201622532 has 54 divisors (see below), whose sum is σ = 38819061918. Its totient is φ = 3771891648.

The previous prime is 13201622531. The next prime is 13201622573. The reversal of 13201622532 is 23522610231.

It is a happy number.

13201622532 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 622 + 5 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9274845636 + 3926776896 = 96306^2 + 62664^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13201622496 and 13201622505.

It is not an unprimeable number, because it can be changed into a prime (13201622531) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3740193 + ... + 3743720.

It is an arithmetic number, because the mean of its divisors is an integer number (718871517).

Almost surely, 213201622532 is an apocalyptic number.

13201622532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13201622532 is an abundant number, since it is smaller than the sum of its proper divisors (25617439386).

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

13201622532 is a wasteful number, since it uses less digits than its factorization.

13201622532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7483937 (or 7483925 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 13201622532 in words is "thirteen billion, two hundred one million, six hundred twenty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 7483913 14967826 22451739 29935652 44903478 52387391 67355217 89806956 104774782 134710434 157162173 209549564 269420868 314324346 366711737 471486519 628648692 733423474 942973038 1100135211 1466846948 1885946076 2200270422 3300405633 4400540844 6600811266 13201622532