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10132230103320 = 233513210918112531
BaseRepresentation
bin1001001101110001011111…
…1110011110000100011000
31022212122001112111111002110
42103130113332132010120
52312001301401301240
633314403211032320
72064013051566513
oct223342776360430
938778045444073
1010132230103320
113257066823846
12117783b43b6a0
13586608071700
1427058c86dd7a
1512886896cc80
hex93717f9e118

10132230103320 has 384 divisors, whose sum is σ = 33248202451200. Its totient is φ = 2468865484800.

The previous prime is 10132230103309. The next prime is 10132230103327. The reversal of 10132230103320 is 2330103223101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132230103327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4003250455 + ... + 4003252985.

It is an arithmetic number, because the mean of its divisors is an integer number (86583860550).

Almost surely, 210132230103320 is an apocalyptic number.

10132230103320 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 10132230103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16624101225600).

10132230103320 is an abundant number, since it is smaller than the sum of its proper divisors (23115972347880).

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

10132230103320 is a wasteful number, since it uses less digits than its factorization.

10132230103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491 (or 4474 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10132230103320 its reverse (2330103223101), we get a palindrome (12462333326421).

It can be divided in two parts, 10132230 and 103320, that added together give a triangular number (10235550 = T4524).

The spelling of 10132230103320 in words is "ten trillion, one hundred thirty-two billion, two hundred thirty million, one hundred three thousand, three hundred twenty".