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103223033020332 = 22325948598414793
BaseRepresentation
bin10111011110000101111100…
…001101110011111110101100
3111112111000200122120011012100
4113132011330031303332230
5102012201232423122312
61003312001241535100
730512421661611201
oct2736057415637654
9445430618504170
10103223033020332
112a987708137145
12b6b1394aa4490
134579b75b45b14
141b6c042c31ca8
15be010461b5dc
hex5de17c373fac

103223033020332 has 36 divisors (see below), whose sum is σ = 265347344775240. Its totient is φ = 33824496695232.

The previous prime is 103223033020309. The next prime is 103223033020357. The reversal of 103223033020332 is 233020330322301.

103223033020332 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 2 + 303 + 3 + 0 + 20 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 103223033020296 and 103223033020305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24299205273 + ... + 24299209520.

It is an arithmetic number, because the mean of its divisors is an integer number (7370759577090).

Almost surely, 2103223033020332 is an apocalyptic number.

103223033020332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103223033020332 is an abundant number, since it is smaller than the sum of its proper divisors (162124311754908).

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

103223033020332 is a wasteful number, since it uses less digits than its factorization.

103223033020332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48598414862 (or 48598414857 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 103223033020332 its reverse (233020330322301), we get a palindrome (336243363342633).

The spelling of 103223033020332 in words is "one hundred three trillion, two hundred twenty-three billion, thirty-three million, twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 48598414793 97196829586 145795244379 194393659172 291590488758 437385733137 583180977516 874771466274 1749542932548 2867306472787 5734612945574 8601919418361 11469225891148 17203838836722 25805758255083 34407677673444 51611516510166 103223033020332