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132021210132 = 223272048325577
BaseRepresentation
bin111101011110100010…
…0111100110000010100
3110121202210012100200100
41322331010330300110
54130334412211012
6140352200414100
712352415525160
oct1727504746024
9417683170610
10132021210132
1150a98593229
1221705777330
13c5ac867066
146565ac5ca0
15367a5158dc
hex1ebd13cc14

132021210132 has 72 divisors (see below), whose sum is σ = 381428139456. Its totient is φ = 37717029504.

The previous prime is 132021210089. The next prime is 132021210149. The reversal of 132021210132 is 231012120231.

132021210132 is a `hidden beast` number, since 1 + 320 + 2 + 1 + 210 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5148928 + ... + 5174504.

It is an arithmetic number, because the mean of its divisors is an integer number (5297613048).

Almost surely, 2132021210132 is an apocalyptic number.

132021210132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132021210132 is an abundant number, since it is smaller than the sum of its proper divisors (249406929324).

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

132021210132 is a wasteful number, since it uses less digits than its factorization.

132021210132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46077 (or 46072 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132021210132 its reverse (231012120231), we get a palindrome (363033330363).

The spelling of 132021210132 in words is "one hundred thirty-two billion, twenty-one million, two hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 20483 25577 40966 51154 61449 76731 81932 102308 122898 143381 153462 179039 184347 230193 245796 286762 306924 358078 368694 430143 460386 537117 573524 716156 737388 860286 920772 1074234 1290429 1611351 1720572 2148468 2580858 3222702 5161716 6445404 523893691 1047787382 1571681073 2095574764 3143362146 3667255837 4715043219 6286724292 7334511674 9430086438 11001767511 14669023348 18860172876 22003535022 33005302533 44007070044 66010605066 132021210132