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31300221200 = 2452521150193
BaseRepresentation
bin11101001001101000…
…110111100100010000
32222210100212222112212
4131021220313210100
51003100324034300
622213520211252
72155435330133
oct351150674420
988710788485
1031300221200
1112302182506
126096469b28
132c4a879961
14172cdc621a
15c32d5e935
hex749a37910

31300221200 has 60 divisors (see below), whose sum is σ = 75343618548. Its totient is φ = 12495974400.

The previous prime is 31300221181. The next prime is 31300221223. The reversal of 31300221200 is 212200313.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5341855744 + 25958365456 = 73088^2 + 161116^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133304 + ... + 283496.

Almost surely, 231300221200 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 31300221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37671809274).

31300221200 is an abundant number, since it is smaller than the sum of its proper divisors (44043397348).

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

31300221200 is a wasteful number, since it uses less digits than its factorization.

31300221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150732 (or 150721 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 31300221200 its reverse (212200313), we get a palindrome (31512421513).

The spelling of 31300221200 in words is "thirty-one billion, three hundred million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 521 1042 2084 2605 4168 5210 8336 10420 13025 20840 26050 41680 52100 104200 150193 208400 300386 600772 750965 1201544 1501930 2403088 3003860 3754825 6007720 7509650 12015440 15019300 30038600 60077200 78250553 156501106 313002212 391252765 626004424 782505530 1252008848 1565011060 1956263825 3130022120 3912527650 6260044240 7825055300 15650110600 31300221200