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103320032013333 = 32412571089494501
BaseRepresentation
bin10111011111100000010001…
…110011100110110000010101
3111112211022001200021112202200
4113133200101303212300111
5102020243411143411313
61003424322322555113
730522424465501152
oct2737402163466025
9445738050245680
10103320032013333
112aa14863584273
12b708145808a99
1345860639aa875
141b72a054a7229
15be28d0163b73
hex5df811ce6c15

103320032013333 has 24 divisors (see below), whose sum is σ = 153474911507736. Its totient is φ = 66938542080000.

The previous prime is 103320032013281. The next prime is 103320032013397. The reversal of 103320032013333 is 333310230023301.

103320032013333 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 2 + 0 + 0 + 320 + 1 + 3 + 333 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44662462268004 + 58657569745329 = 6682998^2 + 7658823^2 .

It is not a de Polignac number, because 103320032013333 - 220 = 103320030964757 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103320032013297 and 103320032013306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103320032013533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 544652418 + ... + 544842083.

It is an arithmetic number, because the mean of its divisors is an integer number (6394787979489).

Almost surely, 2103320032013333 is an apocalyptic number.

It is an amenable number.

103320032013333 is a deficient number, since it is larger than the sum of its proper divisors (50154879494403).

103320032013333 is a wasteful number, since it uses less digits than its factorization.

103320032013333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089494805 (or 1089494802 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 103320032013333 its reverse (333310230023301), we get a palindrome (436630262036634).

The spelling of 103320032013333 in words is "one hundred three trillion, three hundred twenty billion, thirty-two million, thirteen thousand, three hundred thirty-three".

Divisors: 1 3 9 41 123 257 369 771 2313 10537 31611 94833 1089494501 3268483503 9805450509 44669274541 134007823623 280000086757 402023470869 840000260271 2520000780813 11480003557037 34440010671111 103320032013333