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101323031200 = 2552126653789
BaseRepresentation
bin101111001011101010…
…0101100001010100000
3100200112101011021212021
41132113110230022200
53130002143444300
6114314104111224
710214610361216
oct1362724541240
9320471137767
10101323031200
1139a75234016
1217778a65514
13972994c741
144c92a58cb6
152980478d1a
hex179752c2a0

101323031200 has 36 divisors (see below), whose sum is σ = 247354851870. Its totient is φ = 40529212160.

The previous prime is 101323031191. The next prime is 101323031203. The reversal of 101323031200 is 2130323101.

It can be written as a sum of positive squares in 3 ways, for example, as 62462005776 + 38861025424 = 249924^2 + 197132^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (101323031203) by changing a digit.

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, 63326095 + ... + 63327694.

Almost surely, 2101323031200 is an apocalyptic number.

101323031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101323031200 is an abundant number, since it is smaller than the sum of its proper divisors (146031820670).

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

101323031200 is a wasteful number, since it uses less digits than its factorization.

101323031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126653809 (or 126653796 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 101323031200 its reverse (2130323101), we get a palindrome (103453354301).

The spelling of 101323031200 in words is "one hundred one billion, three hundred twenty-three million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 126653789 253307578 506615156 633268945 1013230312 1266537890 2026460624 2533075780 3166344725 4052921248 5066151560 6332689450 10132303120 12665378900 20264606240 25330757800 50661515600 101323031200