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31000332102264 = 233371721119332957
BaseRepresentation
bin1110000110001110100111…
…10010000110101001111000
311001202121021110000201122000
413003013103302012221320
513030402140004233024
6145533204515501000
76346462062100350
oct703072362065170
9131677243021560
1031000332102264
119972192327328
1235880a45b7760
13143b41b4656b5
147925d1961b60
1538b5ca790cc9
hex1c31d3c86a78

31000332102264 has 512 divisors, whose sum is σ = 104786236569600. Its totient is φ = 8289619107840.

The previous prime is 31000332102263. The next prime is 31000332102359. The reversal of 31000332102264 is 46220123300013.

31000332102264 is a `hidden beast` number, since 3 + 100 + 0 + 332 + 1 + 0 + 226 + 4 = 666.

It is a super-2 number, since 2×310003321022642 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31000332102263) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10483709074 + ... + 10483712030.

It is an arithmetic number, because the mean of its divisors is an integer number (204660618300).

Almost surely, 231000332102264 is an apocalyptic number.

31000332102264 is a gapful number since it is divisible by the number (34) 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 31000332102264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52393118284800).

31000332102264 is an abundant number, since it is smaller than the sum of its proper divisors (73785904467336).

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

31000332102264 is a wasteful number, since it uses less digits than its factorization.

31000332102264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5140 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 31000332102264 its reverse (46220123300013), we get a palindrome (77220455402277).

The spelling of 31000332102264 in words is "thirty-one trillion, three hundred thirty-two million, one hundred two thousand, two hundred sixty-four".