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100734340100 = 22529371075073
BaseRepresentation
bin101110111010000111…
…1000000110000000100
3100122000100102200111012
41131310033000300010
53122300442340400
6114135434301352
710164201522512
oct1356417006004
9318010380435
10100734340100
11397a29aa749
1217633887858
1396649b3404
144c387b74b2
152948941d35
hex17743c0c04

100734340100 has 36 divisors (see below), whose sum is σ = 218827012404. Its totient is φ = 40250695680.

The previous prime is 100734340093. The next prime is 100734340103. The reversal of 100734340100 is 1043437001.

It can be written as a sum of positive squares in 6 ways, for example, as 44416405504 + 56317934596 = 210752^2 + 237314^2 .

It is not an unprimeable number, because it can be changed into a prime (100734340103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 443837 + ... + 631236.

Almost surely, 2100734340100 is an apocalyptic number.

100734340100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100734340100 is an abundant number, since it is smaller than the sum of its proper divisors (118092672304).

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

100734340100 is a wasteful number, since it uses less digits than its factorization.

100734340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076024 (or 1076017 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

Adding to 100734340100 its reverse (1043437001), we get a palindrome (101777777101).

The spelling of 100734340100 in words is "one hundred billion, seven hundred thirty-four million, three hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 937 1874 3748 4685 9370 18740 23425 46850 93700 1075073 2150146 4300292 5375365 10750730 21501460 26876825 53753650 107507300 1007343401 2014686802 4029373604 5036717005 10073434010 20146868020 25183585025 50367170050 100734340100