Search a number
-
+
122343132011521 = 43181239478313751
BaseRepresentation
bin11011110100010100111010…
…111011001001110000000001
3121001011220000020001010020211
4123310110322323021300001
5112013432213243332041
61112111354155434121
734524666601520401
oct3364247273116001
9531156006033224
10122343132011521
1135a894815a5a03
121187ab03455941
135335ba56c7945
14222d62119a801
15e2265b747481
hex6f453aec9c01

122343132011521 has 32 divisors (see below), whose sum is σ = 126442286530560. Its totient is φ = 118307158200000.

The previous prime is 122343132011447. The next prime is 122343132011533. The reversal of 122343132011521 is 125110231343221.

It is a cyclic number.

It is not a de Polignac number, because 122343132011521 - 243 = 113547038989313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122343132015521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8897028396 + ... + 8897042146.

It is an arithmetic number, because the mean of its divisors is an integer number (3951321454080).

Almost surely, 2122343132011521 is an apocalyptic number.

It is an amenable number.

122343132011521 is a deficient number, since it is larger than the sum of its proper divisors (4099154519039).

122343132011521 is a wasteful number, since it uses less digits than its factorization.

122343132011521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18997.

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 122343132011521 its reverse (125110231343221), we get a palindrome (247453363354742).

The spelling of 122343132011521 in words is "one hundred twenty-two trillion, three hundred forty-three billion, one hundred thirty-two million, eleven thousand, five hundred twenty-one".

Divisors: 1 43 181 239 4783 7783 10277 13751 43259 205669 591293 865723 1143137 1860137 2488931 3286489 37226089 49154891 65771033 107024033 141319027 206907797 594854509 2828154419 8897035271 11904556973 15719276887 25578743887 511895949839 675928906141 2845189116547 122343132011521