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13202124100 = 225211101118831
BaseRepresentation
bin11000100101110100…
…00110110101000100
31021002002010101121021
430102322012311010
5204014220432400
610022011200524
7645106126504
oct142272066504
937062111537
1013202124100
115665289270
122685446144
131325220a69
148d3541a04
1552407a71a
hex312e86d44

13202124100 has 72 divisors (see below), whose sum is σ = 31562729856. Its totient is φ = 4753200000.

The previous prime is 13202124083. The next prime is 13202124119. The reversal of 13202124100 is 142120231.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51685 + ... + 170515.

It is an arithmetic number, because the mean of its divisors is an integer number (438371248).

Almost surely, 213202124100 is an apocalyptic number.

13202124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13202124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15781364928).

13202124100 is an abundant number, since it is smaller than the sum of its proper divisors (18360605756).

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

13202124100 is a wasteful number, since it uses less digits than its factorization.

13202124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118957 (or 118950 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13202124100 its reverse (142120231), we get a palindrome (13344244331).

The spelling of 13202124100 in words is "thirteen billion, two hundred two million, one hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 118831 237662 475324 594155 1188310 1307141 2376620 2614282 2970775 5228564 5941550 6535705 11883100 12001931 13071410 24003862 26142820 32678525 48007724 60009655 65357050 120019310 130714100 132021241 240038620 264042482 300048275 528084964 600096550 660106205 1200193100 1320212410 2640424820 3300531025 6601062050 13202124100