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100311222331 = 5915732533329
BaseRepresentation
bin101110101101100000…
…0111100100000111011
3100120220212021002000201
41131123000330200323
53120414133103311
6114025441343031
710150543215145
oct1353300744073
9316825232021
10100311222331
11395a6085041
1217536037a77
1395c8139578
144bd8515c95
1529217139c1
hex175b03c83b

100311222331 has 16 divisors (see below), whose sum is σ = 102723573600. Its totient is φ = 97923391488.

The previous prime is 100311222317. The next prime is 100311222353. The reversal of 100311222331 is 133222113001.

It is a cyclic number.

It is not a de Polignac number, because 100311222331 - 25 = 100311222299 is a prime.

It is a super-2 number, since 2×1003112223312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100311222299 and 100311222308.

It is not an unprimeable number, because it can be changed into a prime (100311222301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30130875 + ... + 30134203.

It is an arithmetic number, because the mean of its divisors is an integer number (6420223350).

Almost surely, 2100311222331 is an apocalyptic number.

100311222331 is a deficient number, since it is larger than the sum of its proper divisors (2412351269).

100311222331 is a wasteful number, since it uses less digits than its factorization.

100311222331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6798.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100311222331 its reverse (133222113001), we get a palindrome (233533335332).

The spelling of 100311222331 in words is "one hundred billion, three hundred eleven million, two hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 59 157 3253 3329 9263 191927 196411 510721 522653 10829237 30132539 30836527 638924983 1700190209 100311222331