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132100310113032 = 23361279145677079
BaseRepresentation
bin11110000010010100000000…
…000011110001101100001000
3122022201122222202000212002110
4132002110000003301230020
5114303312413342104112
61144542013352502320
736552634555124622
oct3602240003615410
9568648882025073
10132100310113032
1139100477235678
1212995b126aa9a0
13589300c957c11
142489990d55c12
151041373b1b13c
hex7825000f1b08

132100310113032 has 128 divisors (see below), whose sum is σ = 335905957785600. Its totient is φ = 43280463801600.

The previous prime is 132100310113003. The next prime is 132100310113061. The reversal of 132100310113032 is 230311013001231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132100310113003) and next prime (132100310113061).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18660868069 + ... + 18660875147.

It is an arithmetic number, because the mean of its divisors is an integer number (2624265295200).

Almost surely, 2132100310113032 is an apocalyptic number.

132100310113032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132100310113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167952978892800).

132100310113032 is an abundant number, since it is smaller than the sum of its proper divisors (203805647672568).

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

132100310113032 is a wasteful number, since it uses less digits than its factorization.

132100310113032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14507 (or 14503 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 132100310113032 its reverse (230311013001231), we get a palindrome (362411323114263).

The spelling of 132100310113032 in words is "one hundred thirty-two trillion, one hundred billion, three hundred ten million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1464 2791 4567 5582 7079 8373 9134 11164 13701 14158 16746 18268 21237 22328 27402 28316 33492 36536 42474 54804 56632 66984 84948 109608 169896 170251 278587 340502 431819 510753 557174 681004 835761 863638 1021506 1114348 1295457 1362008 1671522 1727276 2043012 2228696 2590914 3343044 3454552 4086024 5181828 6686088 10363656 12746497 19757489 25492994 32329793 38239491 39514978 50985988 59272467 64659586 76478982 79029956 96989379 101971976 118544934 129319172 152957964 158059912 193978758 237089868 258638344 305915928 387957516 474179736 775915032 777536317 1205206829 1555072634 1972117373 2332608951 2410413658 3110145268 3615620487 3944234746 4665217902 4820827316 5916352119 6220290536 7231240974 7888469492 9330435804 9641654632 11832704238 14462481948 15776938984 18660871608 23665408476 28924963896 47330816952 90232452263 180464904526 270697356789 360929809052 541394713578 721859618104 1082789427156 2165578854312 5504179588043 11008359176086 16512538764129 22016718352172 33025077528258 44033436704344 66050155056516 132100310113032