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31201132300 = 22521325195621
BaseRepresentation
bin11101000011101110…
…110111111100001100
32222112110102202010121
4131003232313330030
51002344442213200
622200020314324
72153123151202
oct350356677414
988473382117
1031201132300
1112261253558
1260692429a4
132c33194a80
14171db91072
15c292d9e1a
hex743bb7f0c

31201132300 has 72 divisors (see below), whose sum is σ = 73205908272. Its totient is φ = 11474400000.

The previous prime is 31201132279. The next prime is 31201132301. The reversal of 31201132300 is 323110213.

It is not an unprimeable number, because it can be changed into a prime (31201132301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278490 + ... + 374110.

It is an arithmetic number, because the mean of its divisors is an integer number (1016748726).

Almost surely, 231201132300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31201132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36602954136).

31201132300 is an abundant number, since it is smaller than the sum of its proper divisors (42004775972).

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

31201132300 is a wasteful number, since it uses less digits than its factorization.

31201132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95899 (or 95892 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31201132300 its reverse (323110213), we get a palindrome (31524242513).

The spelling of 31201132300 in words is "thirty-one billion, two hundred one million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 251 260 325 502 650 1004 1255 1300 2510 3263 5020 6275 6526 12550 13052 16315 25100 32630 65260 81575 95621 163150 191242 326300 382484 478105 956210 1243073 1912420 2390525 2486146 4781050 4972292 6215365 9562100 12430730 24000871 24861460 31076825 48001742 62153650 96003484 120004355 124307300 240008710 312011323 480017420 600021775 624022646 1200043550 1248045292 1560056615 2400087100 3120113230 6240226460 7800283075 15600566150 31201132300