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100313031231 = 337317637163
BaseRepresentation
bin101110101101100011…
…1110110001000111111
3100120220222122222101000
41131123013312020333
53120420113444411
6114025544221343
710150564461000
oct1353307661077
9316828588330
10100313031231
11395a71000a6
121753676a853
1395c8620a1a
144bd88671a7
15292196e956
hex175b1f623f

100313031231 has 64 divisors (see below), whose sum is σ = 183503232000. Its totient is φ = 53949780864.

The previous prime is 100313031209. The next prime is 100313031241. The reversal of 100313031231 is 132130313001.

It is a happy number.

100313031231 is a `hidden beast` number, since 10 + 0 + 313 + 0 + 312 + 31 = 666.

It is not a de Polignac number, because 100313031231 - 211 = 100313029183 is a prime.

It is a super-2 number, since 2×1003130312312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313031241) 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 63 ways as a sum of consecutive naturals, for example, 161145 + ... + 476018.

It is an arithmetic number, because the mean of its divisors is an integer number (2867238000).

Almost surely, 2100313031231 is an apocalyptic number.

100313031231 is a deficient number, since it is larger than the sum of its proper divisors (83190200769).

100313031231 is an equidigital number, since it uses as much as digits as its factorization.

100313031231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637210 (or 637190 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100313031231 its reverse (132130313001), we get a palindrome (232443344232).

The spelling of 100313031231 in words is "one hundred billion, three hundred thirteen million, thirty-one thousand, two hundred thirty-one".

Divisors: 1 3 7 9 17 21 27 49 51 63 119 147 153 189 343 357 441 459 833 1029 1071 1323 2499 3087 3213 5831 7497 9261 17493 22491 52479 157437 637163 1911489 4460141 5734467 10831771 13380423 17203401 31220987 32495313 40141269 75822397 93662961 97485939 120423807 218546909 227467191 280988883 292457817 530756779 655640727 682401573 842966649 1592270337 1966922181 2047204719 3715297453 4776811011 5900766543 11145892359 14330433033 33437677077 100313031231