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100312143300 = 223252111457937
BaseRepresentation
bin101110101101100010…
…0011101010111000100
3100120220220222212100200
41131123010131113010
53120414402041200
6114025513210500
710150554102165
oct1353304352704
9316826885320
10100312143300
11395a6653a76
1217536400a30
1395c839c815
144bd86b576c
152921846800
hex175b11d5c4

100312143300 has 54 divisors (see below), whose sum is σ = 314422843098. Its totient is φ = 26749904640.

The previous prime is 100312143271. The next prime is 100312143307. The reversal of 100312143300 is 3341213001.

100312143300 is a `hidden beast` number, since 10 + 0 + 312 + 1 + 43 + 300 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 739078596 + 99573064704 = 27186^2 + 315552^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100312143307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55728069 + ... + 55729868.

Almost surely, 2100312143300 is an apocalyptic number.

100312143300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100312143300 is an abundant number, since it is smaller than the sum of its proper divisors (214110699798).

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

100312143300 is a wasteful number, since it uses less digits than its factorization.

100312143300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111457957 (or 111457947 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100312143300 its reverse (3341213001), we get a palindrome (103653356301).

The spelling of 100312143300 in words is "one hundred billion, three hundred twelve million, one hundred forty-three thousand, three 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 111457937 222915874 334373811 445831748 557289685 668747622 1003121433 1114579370 1337495244 1671869055 2006242866 2229158740 2786448425 3343738110 4012485732 5015607165 5572896850 6687476220 8359345275 10031214330 11145793700 16718690550 20062428660 25078035825 33437381100 50156071650 100312143300