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103235204020 = 225131723356381
BaseRepresentation
bin110000000100101001…
…1000011001110110100
3100212110122020201211211
41200021103003032310
53142411203012040
6115231532411204
710313156520124
oct1401123031664
9325418221754
10103235204020
113a866643833
1218011316b04
139972b55b50
144dd49b0c84
152a4328d8ea
hex18094c33b4

103235204020 has 48 divisors (see below), whose sum is σ = 247203947088. Its totient is φ = 35875399680.

The previous prime is 103235204011. The next prime is 103235204027. The reversal of 103235204020 is 20402532301.

It can be written as a sum of positive squares in 8 ways, for example, as 810882576 + 102424321444 = 28476^2 + 320038^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103235203982 and 103235204000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103235204027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11673771 + ... + 11682610.

It is an arithmetic number, because the mean of its divisors is an integer number (5150082231).

Almost surely, 2103235204020 is an apocalyptic number.

103235204020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103235204020 is an abundant number, since it is smaller than the sum of its proper divisors (143968743068).

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

103235204020 is a wasteful number, since it uses less digits than its factorization.

103235204020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23356420 (or 23356418 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 103235204020 its reverse (20402532301), we get a palindrome (123637736321).

The spelling of 103235204020 in words is "one hundred three billion, two hundred thirty-five million, two hundred four thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 23356381 46712762 93425524 116781905 233563810 303632953 397058477 467127620 607265906 794116954 1214531812 1518164765 1588233908 1985292385 3036329530 3970584770 5161760201 6072659060 7941169540 10323520402 20647040804 25808801005 51617602010 103235204020