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132738837231 = 37111344202077
BaseRepresentation
bin111101110011111011…
…0011110101011101111
3110200121210112120222210
41323213312132223233
54133322120242411
6140551313541503
712406251333360
oct1734766365357
9420553476883
10132738837231
1151326682080
1221885b74893
13c695438790
1465d312bb67
1536bd51aca6
hex1ee7d9eaef

132738837231 has 32 divisors (see below), whose sum is σ = 237630371328. Its totient is φ = 63650989440.

The previous prime is 132738837227. The next prime is 132738837241.

132738837231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132738837231 - 22 = 132738837227 is a prime.

It is a super-2 number, since 2×1327388372312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132738837211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22098036 + ... + 22104041.

It is an arithmetic number, because the mean of its divisors is an integer number (7425949104).

Almost surely, 2132738837231 is an apocalyptic number.

132738837231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132738837231 is a deficient number, since it is larger than the sum of its proper divisors (104891534097).

132738837231 is a wasteful number, since it uses less digits than its factorization.

132738837231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44202111.

The product of its digits is 1016064, while the sum is 48.

It can be divided in two parts, 132738 and 837231, that added together give a palindrome (969969).

The spelling of 132738837231 in words is "one hundred thirty-two billion, seven hundred thirty-eight million, eight hundred thirty-seven thousand, two hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 44202077 132606231 309414539 486222847 574627001 928243617 1458668541 1723881003 3403559929 4022389007 6320897011 10210679787 12067167021 18962691033 44246279077 132738837231