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31000000031 = 71113193152579
BaseRepresentation
bin11100110111101111…
…100111011000011111
32222000102222011112022
4130313233213120133
51001442000000111
622124033330355
72145131436560
oct346757473037
988012864468
1031000000031
1112168767940
126011a069bb
132c006022b0
141701196167
15c1680a2db
hex737be761f

31000000031 has 64 divisors (see below), whose sum is σ = 45227212800. Its totient is φ = 20442326400.

The previous prime is 31000000027. The next prime is 31000000067. The reversal of 31000000031 is 13000000013.

It is a cyclic number.

It is not a de Polignac number, because 31000000031 - 22 = 31000000027 is a prime.

It is a super-2 number, since 2×310000000312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30999999955 and 31000000018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31000000831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 563300 + ... + 615878.

It is an arithmetic number, because the mean of its divisors is an integer number (706675200).

Almost surely, 231000000031 is an apocalyptic number.

31000000031 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

31000000031 is a deficient number, since it is larger than the sum of its proper divisors (14227212769).

31000000031 is a wasteful number, since it uses less digits than its factorization.

31000000031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52660.

The product of its (nonzero) digits is 9, while the sum is 8.

Adding to 31000000031 its reverse (13000000013), we get a palindrome (44000000044).

The spelling of 31000000031 in words is "thirty-one billion, thirty-one", and thus it is an aban number and an uban number.

Divisors: 1 7 11 13 19 31 77 91 133 143 209 217 247 341 403 589 1001 1463 1729 2387 2717 2821 4123 4433 6479 7657 19019 31031 45353 52579 53599 84227 368053 578369 589589 683527 999001 1629949 4048583 4784689 6993007 7518797 10989011 11409643 12987013 17929439 21189337 30969031 52631579 76923077 90909091 125506073 142857143 148325359 216783217 233082707 340659341 402597403 1000000001 1631578949 2384615387 2818181821 4428571433 31000000031