Search a number
-
+
100121313321232 = 24717232286292321
BaseRepresentation
bin10110110000111101001111…
…010100001010000100010000
3111010111111121110201202211021
4112300331033110022010100
5101110341422202234412
6552535032452125224
730042345323306440
oct2660751724120420
9433444543652737
10100121313321232
11299a1235237a45
12b290221306814
1343b3526450768
141aa1c7c746120
15b895b9be7607
hex5b0f4f50a110

100121313321232 has 80 divisors (see below), whose sum is σ = 244944214209792. Its totient is φ = 38629195038720.

The previous prime is 100121313321119. The next prime is 100121313321307. The reversal of 100121313321232 is 232123313121001.

It is a junction number, because it is equal to n+sod(n) for n = 100121313321197 and 100121313321206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1143102369 + ... + 1143189952.

Almost surely, 2100121313321232 is an apocalyptic number.

It is an amenable number.

100121313321232 is an abundant number, since it is smaller than the sum of its proper divisors (144822900888560).

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

100121313321232 is a wasteful number, since it uses less digits than its factorization.

100121313321232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286292376 (or 2286292370 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 100121313321232 its reverse (232123313121001), we get a palindrome (332244626442233).

The spelling of 100121313321232 in words is "one hundred trillion, one hundred twenty-one billion, three hundred thirteen million, three hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 23 28 34 46 56 68 92 112 119 136 161 184 238 272 322 368 391 476 644 782 952 1288 1564 1904 2576 2737 3128 5474 6256 10948 21896 43792 2286292321 4572584642 9145169284 16004046247 18290338568 32008092494 36580677136 38866969457 52584723383 64016184988 77733938914 105169446766 128032369976 155467877828 210338893532 256064739952 272068786199 310935755656 368093063681 420677787064 544137572398 621871511312 736186127362 841355574128 893940297511 1088275144796 1472372254724 1787880595022 2176550289592 2944744509448 3575761190044 4353100579184 5889489018896 6257582082577 7151522380088 12515164165154 14303044760176 25030328330308 50060656660616 100121313321232