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101320001100 = 223252112577779
BaseRepresentation
bin101111001011100100…
…1001000011001001100
3100200112011110100100100
41132113021020121030
53130000410013400
6114313515131100
710214542541133
oct1362711103114
9320464410310
10101320001100
1139a735544aa
1217777a43a90
13972912b496
144c924aa91a
15298007b100
hex179724864c

101320001100 has 54 divisors (see below), whose sum is σ = 317581917380. Its totient is φ = 27018666720.

The previous prime is 101320001063. The next prime is 101320001149. The reversal of 101320001100 is 1100023101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56287990 + ... + 56289789.

Almost surely, 2101320001100 is an apocalyptic number.

101320001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101320001100 is an abundant number, since it is smaller than the sum of its proper divisors (216261916280).

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

101320001100 is a wasteful number, since it uses less digits than its factorization.

101320001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112577799 (or 112577789 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101320001100 its reverse (1100023101), we get a palindrome (102420024201).

The spelling of 101320001100 in words is "one hundred one billion, three hundred twenty million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 112577779 225155558 337733337 450311116 562888895 675466674 1013200011 1125777790 1350933348 1688666685 2026400022 2251555580 2814444475 3377333370 4052800044 5066000055 5628888950 6754666740 8443333425 10132000110 11257777900 16886666850 20264000220 25330000275 33773333700 50660000550 101320001100