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103320332113032 = 23321435004612681
BaseRepresentation
bin10111011111100000100011…
…101100011001010010001000
3111112211022211120222012011100
4113133200203230121102020
5102020300020010104112
61003424412203101400
730522435101344326
oct2737404354312210
9445738746865140
10103320332113032
112aa149a7a16651
12b70820a211860
1345860b0c11b58
141b72a332a4d16
15be28eb6922dc
hex5df823b19488

103320332113032 has 24 divisors (see below), whose sum is σ = 279825899472990. Its totient is φ = 34440110704320.

The previous prime is 103320332113021. The next prime is 103320332113049. The reversal of 103320332113032 is 230311233023301.

103320332113032 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 20 + 332 + 1 + 1 + 303 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96475337818596 + 6844994294436 = 9822186^2 + 2616294^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 103320332112987 and 103320332113005.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 717502306269 + ... + 717502306412.

Almost surely, 2103320332113032 is an apocalyptic number.

103320332113032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103320332113032 is an abundant number, since it is smaller than the sum of its proper divisors (176505567359958).

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

103320332113032 is a wasteful number, since it uses less digits than its factorization.

103320332113032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435004612693 (or 1435004612686 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 103320332113032 its reverse (230311233023301), we get a palindrome (333631565136333).

The spelling of 103320332113032 in words is "one hundred three trillion, three hundred twenty billion, three hundred thirty-two million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1435004612681 2870009225362 4305013838043 5740018450724 8610027676086 11480036901448 12915041514129 17220055352172 25830083028258 34440110704344 51660166056516 103320332113032