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31011121300 = 225210910512707
BaseRepresentation
bin11100111000011010…
…000010100010010100
32222001012220012001011
4130320122002202110
51002002321340200
622125111542004
72145325116235
oct347032024224
988035805034
1031011121300
1112173a73475
12601568a904
132c029c7323
14170284d08c
15c177a55ba
hex738682894

31011121300 has 72 divisors (see below), whose sum is σ = 68001237920. Its totient is φ = 12274416000.

The previous prime is 31011121291. The next prime is 31011121303. The reversal of 31011121300 is 312111013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31011121303) 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, 11454547 + ... + 11457253.

Almost surely, 231011121300 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 31011121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34000618960).

31011121300 is an abundant number, since it is smaller than the sum of its proper divisors (36990116620).

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

31011121300 is a wasteful number, since it uses less digits than its factorization.

31011121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3881 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 31011121300 its reverse (312111013), we get a palindrome (31323232313).

The spelling of 31011121300 in words is "thirty-one billion, eleven million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 1051 1090 2102 2180 2707 2725 4204 5255 5414 5450 10510 10828 10900 13535 21020 26275 27070 52550 54140 67675 105100 114559 135350 229118 270700 295063 458236 572795 590126 1145590 1180252 1475315 2291180 2845057 2863975 2950630 5690114 5727950 5901260 7376575 11380228 11455900 14225285 14753150 28450570 29506300 56901140 71126425 142252850 284505700 310111213 620222426 1240444852 1550556065 3101112130 6202224260 7752780325 15505560650 31011121300