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10031220000 = 253254232423
BaseRepresentation
bin10010101011110100…
…00100010100100000
3221220002111202220200
421111322010110200
5131020443020000
64335215505200
7503403651234
oct112572042440
927802452820
1010031220000
1142883a906a
121b3b528200
13c3b2cb849
146b236c5c4
153da9c8500
hex255e84520

10031220000 has 360 divisors, whose sum is σ = 37211638464. Its totient is φ = 2557632000.

The previous prime is 10031219963. The next prime is 10031220013. The reversal of 10031220000 is 2213001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4138789 + ... + 4141211.

Almost surely, 210031220000 is an apocalyptic number.

10031220000 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 10031220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18605819232).

10031220000 is an abundant number, since it is smaller than the sum of its proper divisors (27180418464).

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

10031220000 is a wasteful number, since it uses less digits than its factorization.

10031220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10031220000 its reverse (2213001), we get a palindrome (10033433001).

The spelling of 10031220000 in words is "ten billion, thirty-one million, two hundred twenty thousand".