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100115312231 = 11311237237343
BaseRepresentation
bin101110100111101010…
…1100110111001100111
3100120102012121210220002
41131033111212321213
53120014004442411
6113554202331515
710142644053524
oct1351725467147
9316365553802
10100115312231
1139505535970
12174a04b9b9b
139596684a2c
144bba4ba14b
15290e41633b
hex174f566e67

100115312231 has 16 divisors (see below), whose sum is σ = 112831438848. Its totient is φ = 88006413600.

The previous prime is 100115312201. The next prime is 100115312243. The reversal of 100115312231 is 132213511001.

It is a cyclic number.

It is not a de Polignac number, because 100115312231 - 222 = 100111117927 is a prime.

It is a super-2 number, since 2×1001153122312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100115312201) 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 15 ways as a sum of consecutive naturals, for example, 303146 + ... + 540488.

It is an arithmetic number, because the mean of its divisors is an integer number (7051964928).

Almost surely, 2100115312231 is an apocalyptic number.

100115312231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100115312231 is a deficient number, since it is larger than the sum of its proper divisors (12716126617).

100115312231 is a wasteful number, since it uses less digits than its factorization.

100115312231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238622.

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 100115312231 its reverse (132213511001), we get a palindrome (232328823232).

The spelling of 100115312231 in words is "one hundred billion, one hundred fifteen million, three hundred twelve thousand, two hundred thirty-one".

Divisors: 1 11 31 341 1237 13607 38347 237343 421817 2610773 7357633 80933963 293593291 3229526201 9101392021 100115312231