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1002132432312 = 233114219016523
BaseRepresentation
bin11101001010100111011…
…11110110010110111000
310112210200022222012200120
432211103233312112320
5112404331400313222
62044212343533240
7132254530061604
oct16452357662670
93483608865616
101002132432312
113570026a5950
1214227815a220
13736680007cb
1436709736504
151b103a8815c
hexe953bf65b8

1002132432312 has 64 divisors (see below), whose sum is σ = 2739580652160. Its totient is φ = 302955139200.

The previous prime is 1002132432293. The next prime is 1002132432349. The reversal of 1002132432312 is 2132342312001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4397118 + ... + 4619405.

It is an arithmetic number, because the mean of its divisors is an integer number (42805947690).

Almost surely, 21002132432312 is an apocalyptic number.

1002132432312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002132432312 is an abundant number, since it is smaller than the sum of its proper divisors (1737448219848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1002132432312 is a wasteful number, since it uses less digits than its factorization.

1002132432312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9016964 (or 9016960 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1002132432312 its reverse (2132342312001), we get a palindrome (3134474744313).

The spelling of 1002132432312 in words is "one trillion, two billion, one hundred thirty-two million, four hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 421 842 1263 1684 2526 3368 4631 5052 9262 10104 13893 18524 27786 37048 55572 111144 9016523 18033046 27049569 36066092 54099138 72132184 99181753 108198276 198363506 216396552 297545259 396727012 595090518 793454024 1190181036 2380362072 3795956183 7591912366 11387868549 15183824732 22775737098 30367649464 41755518013 45551474196 83511036026 91102948392 125266554039 167022072052 250533108078 334044144104 501066216156 1002132432312