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103010220100 = 22522442142181
BaseRepresentation
bin101111111101111100…
…0110011100001000100
3100211212221220100221001
41133323320303201010
53141431104020400
6115153334303044
710304455265254
oct1377370634104
9324787810831
10103010220100
113a760647007
1217b69ab7a84
139938361a78
144db2b67964
152a2d64ba6a
hex17fbe33844

103010220100 has 36 divisors (see below), whose sum is σ = 223546630468. Its totient is φ = 41201424000.

The previous prime is 103010220043. The next prime is 103010220101. The reversal of 103010220100 is 1022010301.

It can be written as a sum of positive squares in 6 ways, for example, as 55350090756 + 47660129344 = 235266^2 + 218312^2 .

It is a super-2 number, since 2×1030102201002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (103010220101) 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, 2421010 + ... + 2463190.

Almost surely, 2103010220100 is an apocalyptic number.

103010220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103010220100 is an abundant number, since it is smaller than the sum of its proper divisors (120536410368).

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

103010220100 is a wasteful number, since it uses less digits than its factorization.

103010220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66616 (or 66609 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 103010220100 its reverse (1022010301), we get a palindrome (104032230401).

The spelling of 103010220100 in words is "one hundred three billion, ten million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 24421 42181 48842 84362 97684 122105 168724 210905 244210 421810 488420 610525 843620 1054525 1221050 2109050 2442100 4218100 1030102201 2060204402 4120408804 5150511005 10301022010 20602044020 25752555025 51505110050 103010220100