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103002311223 = 3272775902373
BaseRepresentation
bin101111111101101101…
…0101000101000110111
3100211212102000112222200
41133323122220220313
53141422042424343
6115152452555543
710304331125310
oct1377332505067
9324772015880
10103002311223
113a757134a49
1217b67322bb3
139936822c66
144db1aa9607
152a2cad84d3
hex17fb6a8a37

103002311223 has 24 divisors (see below), whose sum is σ = 170649437088. Its totient is φ = 58645968192.

The previous prime is 103002311201. The next prime is 103002311299. The reversal of 103002311223 is 322113200301.

103002311223 is a `hidden beast` number, since 10 + 300 + 231 + 122 + 3 = 666.

It is not a de Polignac number, because 103002311223 - 212 = 103002307127 is a prime.

It is a super-2 number, since 2×1030023112232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103002311196 and 103002311205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103002311123) 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 23 ways as a sum of consecutive naturals, for example, 2933736 + ... + 2968637.

It is an arithmetic number, because the mean of its divisors is an integer number (7110393212).

Almost surely, 2103002311223 is an apocalyptic number.

103002311223 is a deficient number, since it is larger than the sum of its proper divisors (67647125865).

103002311223 is a wasteful number, since it uses less digits than its factorization.

103002311223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5902663 (or 5902660 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103002311223 its reverse (322113200301), we get a palindrome (425115511524).

The spelling of 103002311223 in words is "one hundred three billion, two million, three hundred eleven thousand, two hundred twenty-three".

Divisors: 1 3 7 9 21 63 277 831 1939 2493 5817 17451 5902373 17707119 41316611 53121357 123949833 371849499 1634957321 4904871963 11444701247 14714615889 34334103741 103002311223