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12013313103 = 32111923713911
BaseRepresentation
bin10110011000000110…
…01001110001001111
31011000020011112111100
423030003021301033
5144100402004403
65304022554143
7603462322311
oct131403116117
934006145440
1012013313103
115105224a40
1223b3298953
131195b463bc
1481d6c57b1
154a4a002a3
hex2cc0c9c4f

12013313103 has 96 divisors (see below), whose sum is σ = 21091000320. Its totient is φ = 6503112000.

The previous prime is 12013313101. The next prime is 12013313131. The reversal of 12013313103 is 30131331021.

It is a happy number.

12013313103 is a `hidden beast` number, since 1 + 20 + 1 + 331 + 310 + 3 = 666.

It is not a de Polignac number, because 12013313103 - 21 = 12013313101 is a prime.

It is a super-2 number, since 2×120133131032 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013313101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3069718 + ... + 3073628.

It is an arithmetic number, because the mean of its divisors is an integer number (219697920).

Almost surely, 212013313103 is an apocalyptic number.

12013313103 is a deficient number, since it is larger than the sum of its proper divisors (9077687217).

12013313103 is a wasteful number, since it uses less digits than its factorization.

12013313103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12013313103 its reverse (30131331021), we get a palindrome (42144644124).

The spelling of 12013313103 in words is "twelve billion, thirteen million, three hundred thirteen thousand, one hundred three".

Divisors: 1 3 9 11 19 23 33 57 69 71 99 171 207 209 213 253 437 627 639 759 781 1311 1349 1633 1881 2277 2343 3911 3933 4047 4807 4899 7029 11733 12141 14421 14697 14839 17963 31027 35199 43021 43263 44517 53889 74309 89953 93081 129063 133551 161667 222927 269859 277681 279243 341297 387189 668781 809577 817399 833043 989483 1023891 1709107 2452197 2499129 2968449 3054491 3071673 5127321 5275939 6386663 7356591 8905347 9163473 15381963 15827817 18800177 19159989 27490419 47483451 56400531 57479967 58035329 70253293 121346597 169201593 174105987 210759879 364039791 522317961 632279637 1092119373 1334812567 4004437701 12013313103