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31001331120 = 2435129172213
BaseRepresentation
bin11100110111110100…
…101100010110110000
32222000112110210102220
4130313310230112300
51001442320043440
622124122041040
72145145652364
oct346764542660
988015423386
1031001331120
1112169496a11
126012349180
132c0097a116
1417014212a4
15c169be8d0
hex737d2c5b0

31001331120 has 40 divisors (see below), whose sum is σ = 96104127216. Its totient is φ = 8267021568.

The previous prime is 31001331073. The next prime is 31001331131. The reversal of 31001331120 is 2113310013.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×310013311202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31001331120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64585867 + ... + 64586346.

Almost surely, 231001331120 is an apocalyptic number.

31001331120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31001331120 is an abundant number, since it is smaller than the sum of its proper divisors (65102796096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31001331120 is a wasteful number, since it uses less digits than its factorization.

31001331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129172229 (or 129172223 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 31001331120 its reverse (2113310013), we get a palindrome (33114641133).

The spelling of 31001331120 in words is "thirty-one billion, one million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 129172213 258344426 387516639 516688852 645861065 775033278 1033377704 1291722130 1550066556 1937583195 2066755408 2583444260 3100133112 3875166390 5166888520 6200266224 7750332780 10333777040 15500665560 31001331120