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101103710374344 = 233127190717394079
BaseRepresentation
bin10110111111010000001010…
…101111100000100111001000
3111020222102100102002211202110
4112333100022233200213020
5101222440344323434334
6555010223042302320
730203334123422556
oct2677201257404710
9436872312084673
10101103710374344
112a23a92a813347
12b40a6b00579a0
134455067837ba2
141ad7634d9abd6
15ba4e15d85ae9
hex5bf40abe09c8

101103710374344 has 64 divisors (see below), whose sum is σ = 254883107635200. Its totient is φ = 33418337569344.

The previous prime is 101103710374333. The next prime is 101103710374349. The reversal of 101103710374344 is 443473017301101.

101103710374344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1011037103743442 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101103710374349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2884504 + ... + 14509575.

It is an arithmetic number, because the mean of its divisors is an integer number (3982548556800).

Almost surely, 2101103710374344 is an apocalyptic number.

It is an amenable number.

101103710374344 is an abundant number, since it is smaller than the sum of its proper divisors (153779397260856).

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

101103710374344 is a wasteful number, since it uses less digits than its factorization.

101103710374344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17396122 (or 17396118 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

Adding to 101103710374344 its reverse (443473017301101), we get a palindrome (544576727675445).

The spelling of 101103710374344 in words is "one hundred one trillion, one hundred three billion, seven hundred ten million, three hundred seventy-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 127 254 381 508 762 1016 1524 1907 3048 3814 5721 7628 11442 15256 22884 45768 242189 484378 726567 968756 1453134 1937512 2906268 5812536 17394079 34788158 52182237 69576316 104364474 139152632 208728948 417457896 2209048033 4418096066 6627144099 8836192132 13254288198 17672384264 26508576396 33170508653 53017152792 66341017306 99511525959 132682034612 199023051918 265364069224 398046103836 796092207672 4212654598931 8425309197862 12637963796793 16850618395724 25275927593586 33701236791448 50551855187172 101103710374344