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31300031200 = 2552227172357
BaseRepresentation
bin11101001001101000…
…001001001011100000
32222210100112022220211
4131021220021023200
51003100301444300
622213512143504
72155433606164
oct351150111340
988710468824
1031300031200
1112302062789
126096397b94
132c4a811329
14172cd76ca4
15c32d234ba
hex749a092e0

31300031200 has 72 divisors (see below), whose sum is σ = 76748259672. Its totient is φ = 12464785920.

The previous prime is 31300031149. The next prime is 31300031207. The reversal of 31300031200 is 213000313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31300031207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95422 + ... + 267778.

It is an arithmetic number, because the mean of its divisors is an integer number (1065948051).

Almost surely, 231300031200 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 31300031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38374129836).

31300031200 is an abundant number, since it is smaller than the sum of its proper divisors (45448228472).

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

31300031200 is a wasteful number, since it uses less digits than its factorization.

31300031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172604 (or 172591 counting only the distinct ones).

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

Adding to 31300031200 its reverse (213000313), we get a palindrome (31513031513).

The spelling of 31300031200 in words is "thirty-one billion, three hundred million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 227 400 454 800 908 1135 1816 2270 3632 4540 5675 7264 9080 11350 18160 22700 36320 45400 90800 172357 181600 344714 689428 861785 1378856 1723570 2757712 3447140 4308925 5515424 6894280 8617850 13788560 17235700 27577120 34471400 39125039 68942800 78250078 137885600 156500156 195625195 313000312 391250390 626000624 782500780 978125975 1252001248 1565001560 1956251950 3130003120 3912503900 6260006240 7825007800 15650015600 31300031200