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132723242631 = 3472915835099
BaseRepresentation
bin111101110011011101…
…0111111011010000111
3110200120201012022020000
41323212322333122013
54133304122231011
6140545555412343
712406001643150
oct1734672773207
9420521168200
10132723242631
11513188a0681
12218808b40b3
13c6921385c5
1465d102c927
1536bbe8a356
hex1ee6ebf687

132723242631 has 80 divisors (see below), whose sum is σ = 234596736000. Its totient is φ = 73166006592.

The previous prime is 132723242629. The next prime is 132723242633. The reversal of 132723242631 is 136242327231.

132723242631 is a `hidden beast` number, since 1 + 3 + 2 + 72 + 324 + 263 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (132723242629) and next prime (132723242633).

It is not a de Polignac number, because 132723242631 - 21 = 132723242629 is a prime.

It is a super-2 number, since 2×1327232426312 (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 (132723242633) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26026720 + ... + 26031818.

It is an arithmetic number, because the mean of its divisors is an integer number (2932459200).

Almost surely, 2132723242631 is an apocalyptic number.

132723242631 is a deficient number, since it is larger than the sum of its proper divisors (101873493369).

132723242631 is a wasteful number, since it uses less digits than its factorization.

132723242631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6730 (or 6721 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

Adding to 132723242631 its reverse (136242327231), we get a palindrome (268965569862).

The spelling of 132723242631 in words is "one hundred thirty-two billion, seven hundred twenty-three million, two hundred forty-two thousand, six hundred thirty-one".

Divisors: 1 3 7 9 21 27 29 63 81 87 189 203 261 567 609 783 1583 1827 2349 4749 5099 5481 11081 14247 15297 16443 33243 35693 42741 45891 45907 99729 107079 128223 137673 137721 147871 299187 321237 321349 413019 413163 443613 897561 963711 964047 1035097 1239489 1330839 2891133 2892141 3105291 3718467 3992517 8071717 8676423 9315873 11977551 24215151 26029269 27947619 56502019 72645453 83842857 169506057 217936359 234079793 508518171 653809077 702239379 1525554513 1638558551 2106718137 4576663539 4915675653 6320154411 14747026959 18960463233 44241080877 132723242631