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31001111109 = 3229761115741
BaseRepresentation
bin11100110111110011…
…110110101001000101
32222000112001121122100
4130313303312221011
51001442241023414
622124113222313
72145144045063
oct346763665105
988015047570
1031001111109
1112169356691
126012261999
132c00900c37
1417013a5033
15c16979609
hex737cf6a45

31001111109 has 12 divisors (see below), whose sum is σ = 44781274252. Its totient is φ = 20666534400.

The previous prime is 31001111069. The next prime is 31001111111. The reversal of 31001111109 is 90111110013.

It can be written as a sum of positive squares in 2 ways, for example, as 1544254209 + 29456856900 = 39297^2 + 171630^2 .

It is not a de Polignac number, because 31001111109 - 212 = 31001107013 is a prime.

It is a super-2 number, since 2×310011111092 (a number of 22 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 = 31001111091 and 31001111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31001111179) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209979 + ... + 325719.

Almost surely, 231001111109 is an apocalyptic number.

It is an amenable number.

31001111109 is a deficient number, since it is larger than the sum of its proper divisors (13780163143).

31001111109 is a wasteful number, since it uses less digits than its factorization.

31001111109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145508 (or 145505 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

The spelling of 31001111109 in words is "thirty-one billion, one million, one hundred eleven thousand, one hundred nine".

Divisors: 1 3 9 29761 89283 115741 267849 347223 1041669 3444567901 10333703703 31001111109