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103323002230233 = 3331222917388991
BaseRepresentation
bin10111011111100011000010…
…110110000101010111011001
3111112211120201200021012101000
4113133203002312011113121
5102020321002032331413
61003425533145015213
730522561213100512
oct2737430266052731
9445746650235330
10103323002230233
112aa16048152185
12b708834484509
134586418164a66
141b72c07b59a09
15be2a05cc3073
hex5df8c2d855d9

103323002230233 has 48 divisors (see below), whose sum is σ = 158858875315200. Its totient is φ = 66368905912800.

The previous prime is 103323002230169. The next prime is 103323002230237. The reversal of 103323002230233 is 332032200323301.

103323002230233 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 2 + 300 + 22 + 302 + 33 = 666.

It is not a de Polignac number, because 103323002230233 - 26 = 103323002230169 is a prime.

It is a super-3 number, since 3×1033230022302333 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103323002230197 and 103323002230206.

It is not an unprimeable number, because it can be changed into a prime (103323002230237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2752633 + ... + 14636358.

It is an arithmetic number, because the mean of its divisors is an integer number (3309559902400).

Almost surely, 2103323002230233 is an apocalyptic number.

It is an amenable number.

103323002230233 is a deficient number, since it is larger than the sum of its proper divisors (55535873084967).

103323002230233 is a wasteful number, since it uses less digits than its factorization.

103323002230233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17389291 (or 17389254 counting only the distinct ones).

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

Adding to 103323002230233 its reverse (332032200323301), we get a palindrome (435355202553534).

The spelling of 103323002230233 in words is "one hundred three trillion, three hundred twenty-three billion, two million, two hundred thirty thousand, two hundred thirty-three".

Divisors: 1 3 9 27 31 93 229 279 687 837 961 2061 2883 6183 7099 8649 21297 25947 63891 191673 220069 660207 1980621 5941863 17388991 52166973 156500919 469502757 539058721 1617176163 3982078939 4851528489 11946236817 14554585467 16710820351 35838710451 50132461053 107516131353 123444447109 150397383159 370333341327 451192149477 1111000023981 3333000071943 3826777860379 11480333581137 34441000743411 103323002230233