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12032100015 = 35135389103127
BaseRepresentation
bin10110011010010101…
…10100011010101111
31011001112112000021220
423031022310122233
5144120204200030
65305533354423
7604111106535
oct131512643257
934045460256
1012032100015
115114896911
1223b9638a13
1311999c3610
14821db6155
154a64b1a10
hex2cd2b46af

12032100015 has 128 divisors (see below), whose sum is σ = 21737963520. Its totient is φ = 5645832192.

The previous prime is 12032100011. The next prime is 12032100019. The reversal of 12032100015 is 51000123021.

It is an interprime number because it is at equal distance from previous prime (12032100011) and next prime (12032100019).

It is not a de Polignac number, because 12032100015 - 22 = 12032100011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 12032099967 and 12032100003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94740882 + ... + 94741008.

It is an arithmetic number, because the mean of its divisors is an integer number (169827840).

Almost surely, 212032100015 is an apocalyptic number.

12032100015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12032100015 is a deficient number, since it is larger than the sum of its proper divisors (9705863505).

12032100015 is a wasteful number, since it uses less digits than its factorization.

12032100015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393.

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 12032100015 its reverse (51000123021), we get a palindrome (63032223036).

The spelling of 12032100015 in words is "twelve billion, thirty-two million, one hundred thousand, fifteen".

Divisors: 1 3 5 13 15 39 53 65 89 103 127 159 195 265 267 309 381 445 515 635 689 795 1157 1335 1339 1545 1651 1905 2067 3445 3471 4017 4717 4953 5459 5785 6695 6731 8255 9167 10335 11303 13081 14151 16377 17355 20085 20193 23585 24765 27295 27501 33655 33909 39243 45835 56515 61321 65405 70755 70967 81885 87503 100965 119171 137505 146939 169545 170053 183963 196215 212901 262509 306605 354835 357513 437515 440817 485851 510159 595855 599059 693293 734695 850265 919815 1064505 1164209 1312545 1457553 1787565 1797177 2079879 2204085 2429255 2550795 2995295 3466465 3492627 5821045 6316063 7287765 7787767 8985885 9012809 10399395 15134717 17463135 18948189 23363301 27038427 31580315 38938835 45064045 45404151 61703077 75673585 94740945 116816505 135192135 185109231 227020755 308515385 802140001 925546155 2406420003 4010700005 12032100015