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31427000517 = 3112299833037
BaseRepresentation
bin11101010001001100…
…011111100011000101
310000010012110001002010
4131101030133203011
51003330303004032
622234245404433
72161535045133
oct352114374305
9100105401063
1031427000517
11123677a4700
126110a09719
132c6ac084c3
141741b88753
15c3e053ccc
hex75131f8c5

31427000517 has 48 divisors (see below), whose sum is σ = 47710696320. Its totient is φ = 18365128320.

The previous prime is 31427000509. The next prime is 31427000543. The reversal of 31427000517 is 71500072413.

It is not a de Polignac number, because 31427000517 - 23 = 31427000509 is a prime.

It is a super-2 number, since 2×314270005172 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31427000557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10346523 + ... + 10349559.

It is an arithmetic number, because the mean of its divisors is an integer number (993972840).

Almost surely, 231427000517 is an apocalyptic number.

It is an amenable number.

31427000517 is a deficient number, since it is larger than the sum of its proper divisors (16283695803).

31427000517 is a wasteful number, since it uses less digits than its factorization.

31427000517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4074 (or 4063 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The spelling of 31427000517 in words is "thirty-one billion, four hundred twenty-seven million, five hundred seventeen", and thus it is an aban number.

Divisors: 1 3 11 29 33 87 121 319 363 957 983 2949 3037 3509 9111 10527 10813 28507 32439 33407 85521 88073 100221 118943 264219 313577 356829 367477 940731 968803 1102431 2906409 2985371 3449347 8956113 10348041 10656833 31970499 32839081 86575759 98517243 259727277 361229891 952333349 1083689673 2857000047 10475666839 31427000517