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101106423200 = 2552126383029
BaseRepresentation
bin101111000101001101…
…0011001010110100000
3100122222021120110112202
41132022122121112200
53124031221020300
6114240405312332
710206340263056
oct1361232312640
9318867513482
10101106423200
1139973a38242
12177184056a8
1396c3acbc23
144c71d921d6
15296b43dad5
hex178a6995a0

101106423200 has 36 divisors (see below), whose sum is σ = 246826057590. Its totient is φ = 40442568960.

The previous prime is 101106423149. The next prime is 101106423217. The reversal of 101106423200 is 2324601101.

It can be written as a sum of positive squares in 3 ways, for example, as 79756537744 + 21349885456 = 282412^2 + 146116^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 63190715 + ... + 63192314.

Almost surely, 2101106423200 is an apocalyptic number.

101106423200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101106423200 is an abundant number, since it is smaller than the sum of its proper divisors (145719634390).

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

101106423200 is a wasteful number, since it uses less digits than its factorization.

101106423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126383049 (or 126383036 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 101106423200 in words is "one hundred one billion, one hundred six million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 126383029 252766058 505532116 631915145 1011064232 1263830290 2022128464 2527660580 3159575725 4044256928 5055321160 6319151450 10110642320 12638302900 20221284640 25276605800 50553211600 101106423200