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31505133309 = 3131942517049
BaseRepresentation
bin11101010101110110…
…100010111011111101
310000022122110121010020
4131111312202323331
51004010303231214
622250120202353
72163504133416
oct352566427375
9100278417106
1031505133309
11123a790aa61
1261330093b9
132c81163a20
14174c2c680d
15c45d394a9
hex755da2efd

31505133309 has 16 divisors (see below), whose sum is σ = 47619096000. Its totient is φ = 18367364736.

The previous prime is 31505133301. The next prime is 31505133427. The reversal of 31505133309 is 90333150513.

It is not a de Polignac number, because 31505133309 - 23 = 31505133301 is a prime.

It is a super-2 number, since 2×315051333092 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31505133309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31505133301) 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, 21257784 + ... + 21259265.

It is an arithmetic number, because the mean of its divisors is an integer number (2976193500).

Almost surely, 231505133309 is an apocalyptic number.

31505133309 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

31505133309 is a deficient number, since it is larger than the sum of its proper divisors (16113962691).

31505133309 is a wasteful number, since it uses less digits than its factorization.

31505133309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42517084.

The product of its (nonzero) digits is 18225, while the sum is 33.

The spelling of 31505133309 in words is "thirty-one billion, five hundred five million, one hundred thirty-three thousand, three hundred nine".

Divisors: 1 3 13 19 39 57 247 741 42517049 127551147 552721637 807823931 1658164911 2423471793 10501711103 31505133309