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10631240632320 = 2113571143127823
BaseRepresentation
bin1001101010110100011101…
…0100100100100000000000
31101122100002102211212021220
42122231013110210200000
52343140240100213240
634335531410315040
72145040024240110
oct232550724444000
941570072755256
1010631240632320
1134297581aa010
1212384a4b88a80
135c16a21ca889
1428a7aa4c7040
1513682279e5d0
hex9ab47524800

10631240632320 has 1536 divisors, whose sum is σ = 43785089187840. Its totient is φ = 2138123796480.

The previous prime is 10631240632301. The next prime is 10631240632321. The reversal of 10631240632320 is 2323604213601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×106312406323202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10631240632321) 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, 12917667429 + ... + 12917668251.

It is an arithmetic number, because the mean of its divisors is an integer number (28505917440).

Almost surely, 210631240632320 is an apocalyptic number.

10631240632320 is a gapful number since it is divisible by the number (10) 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 10631240632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21892544593920).

10631240632320 is an abundant number, since it is smaller than the sum of its proper divisors (33153848555520).

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

10631240632320 is a wasteful number, since it uses less digits than its factorization.

10631240632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 10631240632320 its reverse (2323604213601), we get a palindrome (12954844845921).

The spelling of 10631240632320 in words is "ten trillion, six hundred thirty-one billion, two hundred forty million, six hundred thirty-two thousand, three hundred twenty".