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101313001332 = 223219243760779
BaseRepresentation
bin101111001011010111…
…0011011011101110100
3100200111200021201110200
41132112232123131310
53124442112020312
6114313105120500
710214426205504
oct1362656333564
9320450251420
10101313001332
1139a6a603474
1217775629130
13972784a3ca
144c915a7a04
15297e6470dc
hex1796b9b774

101313001332 has 72 divisors (see below), whose sum is σ = 269690584800. Its totient is φ = 31979924928.

The previous prime is 101313001291. The next prime is 101313001343. The reversal of 101313001332 is 233100313101.

It is a happy number.

101313001332 is a `hidden beast` number, since 1 + 0 + 1 + 31 + 300 + 1 + 332 = 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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1636519 + ... + 1697297.

Almost surely, 2101313001332 is an apocalyptic number.

101313001332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101313001332 is an abundant number, since it is smaller than the sum of its proper divisors (168377583468).

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

101313001332 is a wasteful number, since it uses less digits than its factorization.

101313001332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63245 (or 63240 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101313001332 its reverse (233100313101), we get a palindrome (334413314433).

The spelling of 101313001332 in words is "one hundred one billion, three hundred thirteen million, one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 2437 4874 7311 9748 14622 21933 29244 43866 46303 60779 87732 92606 121558 138909 182337 185212 243116 277818 364674 416727 547011 555636 729348 833454 1094022 1154801 1666908 2188044 2309602 3464403 4619204 6928806 10393209 13857612 20786418 41572836 148118423 296236846 444355269 592473692 888710538 1333065807 1777421076 2666131614 2814250037 5332263228 5628500074 8442750111 11257000148 16885500222 25328250333 33771000444 50656500666 101313001332