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31302412680 = 233571141531559
BaseRepresentation
bin11101001001110001…
…001110100110001000
32222210112000022200210
4131021301032212020
51003101404201210
622214035201120
72155463055240
oct351161164610
988715008623
1031302412680
1112303439a50
1260971461a0
132c4b1662a6
14172d3d6b20
15c33143e20
hex749c4e988

31302412680 has 512 divisors, whose sum is σ = 122276044800. Its totient is φ = 6222028800.

The previous prime is 31302412679. The next prime is 31302412703. The reversal of 31302412680 is 8621420313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20077741 + ... + 20079299.

It is an arithmetic number, because the mean of its divisors is an integer number (238820400).

Almost surely, 231302412680 is an apocalyptic number.

31302412680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31302412680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61138022400).

31302412680 is an abundant number, since it is smaller than the sum of its proper divisors (90973632120).

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

31302412680 is a wasteful number, since it uses less digits than its factorization.

31302412680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 31302412680 its reverse (8621420313), we get a palindrome (39923832993).

The spelling of 31302412680 in words is "thirty-one billion, three hundred two million, four hundred twelve thousand, six hundred eighty".