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13213332100 = 22522313034409
BaseRepresentation
bin11000100111001001…
…10111001010000100
31021002212012211002101
430103210313022010
5204030103111400
610023051321444
7645303320053
oct142344671204
937085184071
1013213332100
115670643a81
122689150284
131327646407
148d4c1c39a
1552504156a
hex313937284

13213332100 has 72 divisors (see below), whose sum is σ = 29949333120. Its totient is φ = 5050510080.

The previous prime is 13213332053. The next prime is 13213332157. The reversal of 13213332100 is 123331231.

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, 2994696 + ... + 2999104.

It is an arithmetic number, because the mean of its divisors is an integer number (415962960).

Almost surely, 213213332100 is an apocalyptic number.

13213332100 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 13213332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14974666560).

13213332100 is an abundant number, since it is smaller than the sum of its proper divisors (16736001020).

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

13213332100 is a wasteful number, since it uses less digits than its factorization.

13213332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5749 (or 5742 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13213332100 its reverse (123331231), we get a palindrome (13336663331).

The spelling of 13213332100 in words is "thirteen billion, two hundred thirteen million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 1303 2300 2606 4409 5212 6515 8818 13030 17636 22045 26060 29969 32575 44090 59938 65150 88180 101407 110225 119876 130300 149845 202814 220450 299690 405628 440900 507035 599380 749225 1014070 1498450 2028140 2535175 2996900 5070350 5744927 10140700 11489854 22979708 28724635 57449270 114898540 132133321 143623175 264266642 287246350 528533284 574492700 660666605 1321333210 2642666420 3303333025 6606666050 13213332100