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31300132000 = 255314952517
BaseRepresentation
bin11101001001101000…
…100001110010100000
32222210100201110012011
4131021220201302200
51003100313211000
622213514242304
72155434506104
oct351150416240
988710643164
1031300132000
1112302121495
126096426394
132c4a848187
14172cda1904
15c32d432ba
hex749a21ca0

31300132000 has 96 divisors (see below), whose sum is σ = 77422035600. Its totient is φ = 12435788800.

The previous prime is 31300131953. The next prime is 31300132001. The reversal of 31300132000 is 23100313.

It can be written as a sum of positive squares in 8 ways, for example, as 145057936 + 31155074064 = 12044^2 + 176508^2 .

It is not an unprimeable number, because it can be changed into a prime (31300132001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569742 + ... + 622258.

Almost surely, 231300132000 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 31300132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38711017800).

31300132000 is an abundant number, since it is smaller than the sum of its proper divisors (46121903600).

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

31300132000 is a wasteful number, since it uses less digits than its factorization.

31300132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52691 (or 52673 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 31300132000 its reverse (23100313), we get a palindrome (31323232313).

The spelling of 31300132000 in words is "thirty-one billion, three hundred million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 149 160 200 250 298 400 500 596 745 800 1000 1192 1490 2000 2384 2980 3725 4000 4768 5960 7450 11920 14900 18625 23840 29800 37250 52517 59600 74500 105034 119200 149000 210068 262585 298000 420136 525170 596000 840272 1050340 1312925 1680544 2100680 2625850 4201360 5251700 6564625 7825033 8402720 10503400 13129250 15650066 21006800 26258500 31300132 39125165 42013600 52517000 62600264 78250330 105034000 125200528 156500660 195625825 210068000 250401056 313001320 391251650 626002640 782503300 978129125 1252005280 1565006600 1956258250 3130013200 3912516500 6260026400 7825033000 15650066000 31300132000