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100103020100 = 22522560939089
BaseRepresentation
bin101110100111010011…
…0101101111001000100
3100120101100111022020222
41131032212231321010
53120002333120400
6113553043043512
710142434426436
oct1351646557104
9316340438228
10100103020100
11394a95aa686
1217498370598
139593c6ca95
144bb89da656
15290d2d9185
hex174e9ade44

100103020100 has 36 divisors (see below), whose sum is σ = 217237593300. Its totient is φ = 40038620160.

The previous prime is 100103020097. The next prime is 100103020103. The reversal of 100103020100 is 1020301001.

It is an interprime number because it is at equal distance from previous prime (100103020097) and next prime (100103020103).

It can be written as a sum of positive squares in 6 ways, for example, as 1969939456 + 98133080644 = 44384^2 + 313262^2 .

It is a super-2 number, since 2×1001030201002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100103020103) 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, 2541356 + ... + 2580444.

Almost surely, 2100103020100 is an apocalyptic number.

100103020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100103020100 is an abundant number, since it is smaller than the sum of its proper divisors (117134573200).

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

100103020100 is a wasteful number, since it uses less digits than its factorization.

100103020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64712 (or 64705 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 100103020100 its reverse (1020301001), we get a palindrome (101123321101).

The spelling of 100103020100 in words is "one hundred billion, one hundred three million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 25609 39089 51218 78178 102436 128045 156356 195445 256090 390890 512180 640225 781780 977225 1280450 1954450 2560900 3908900 1001030201 2002060402 4004120804 5005151005 10010302010 20020604020 25025755025 50051510050 100103020100