Search a number
-
+
101313022323331 = 71343271155961283
BaseRepresentation
bin10111000010010011000110…
…101101001110101010000011
3111021201102121201110112211101
4113002103012231032222003
5101234403032203321311
6555250320535555231
730224424065555110
oct2702230655165203
9437642551415741
10101313022323331
112a31067a970655
12b44318622bb17
13446ba14129b40
141b0380da97907
15baa5b6aa5ec1
hex5c24c6b4ea83

101313022323331 has 64 divisors (see below), whose sum is σ = 128147844464640. Its totient is φ = 77955351626880.

The previous prime is 101313022323281. The next prime is 101313022323341. The reversal of 101313022323331 is 133323220313101.

It is a happy number.

It is not a de Polignac number, because 101313022323331 - 219 = 101313021799043 is a prime.

It is a super-2 number, since 2×1013130223233312 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101313022323331.

It is not an unprimeable number, because it can be changed into a prime (101313022323341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1653168816 + ... + 1653230098.

It is an arithmetic number, because the mean of its divisors is an integer number (2002310069760).

Almost surely, 2101313022323331 is an apocalyptic number.

101313022323331 is a deficient number, since it is larger than the sum of its proper divisors (26834822141309).

101313022323331 is a wasteful number, since it uses less digits than its factorization.

101313022323331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63176.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 101313022323331 its reverse (133323220313101), we get a palindrome (234636242636432).

The spelling of 101313022323331 in words is "one hundred one trillion, three hundred thirteen billion, twenty-two million, three hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 7 13 43 91 271 301 559 1559 1897 3523 3913 10913 11653 20267 24661 61283 67037 81571 141869 151489 422489 428981 469259 796679 871481 1060423 2635169 2957423 5492357 5576753 6100367 16607693 18167027 18446183 34257197 38446499 95540197 116253851 127169189 215900009 236171351 239800379 668781379 714130799 1242022561 1511300063 1653199457 4108228471 4998915593 8694157927 9283700387 25891393387 28757599297 53406970123 64985902709 181239753709 336588114031 373848790861 1113329915641 2356116798217 7793309409487 14473288903333 101313022323331