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101332441413 = 32759105125939
BaseRepresentation
bin101111001011111100…
…0100101100101000101
3100200120000212101020200
41132113320211211011
53130012101111123
6114315041521113
710215053353230
oct1362770454505
9320500771220
10101332441413
1139a7a581055
1217780043199
13972b895a08
144c93dc8417
1529811d7143
hex1797e25945

101332441413 has 48 divisors (see below), whose sum is σ = 170282611200. Its totient is φ = 56866471200.

The previous prime is 101332441411. The next prime is 101332441447. The reversal of 101332441413 is 314144233101.

101332441413 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 3 + 244 + 1 + 413 = 666.

It is not a de Polignac number, because 101332441413 - 21 = 101332441411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101332441411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3893598 + ... + 3919536.

It is an arithmetic number, because the mean of its divisors is an integer number (3547554400).

Almost surely, 2101332441413 is an apocalyptic number.

It is an amenable number.

101332441413 is a deficient number, since it is larger than the sum of its proper divisors (68950169787).

101332441413 is a wasteful number, since it uses less digits than its factorization.

101332441413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27062 (or 27059 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 101332441413 its reverse (314144233101), we get a palindrome (415476674514).

The spelling of 101332441413 in words is "one hundred one billion, three hundred thirty-two million, four hundred forty-one thousand, four hundred thirteen".

Divisors: 1 3 7 9 21 59 63 177 413 531 1051 1239 3153 3717 7357 9459 22071 25939 62009 66213 77817 181573 186027 233451 434063 544719 558081 1302189 1530401 1634157 3906567 4591203 10712807 13773609 27261889 32138421 81785667 96415263 190833223 245357001 572499669 1608451451 1717499007 4825354353 11259160157 14476063059 33777480471 101332441413