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13202033120 = 255238343223
BaseRepresentation
bin11000100101110011…
…10000100111100000
31021002001221202210122
430102321300213200
5204014210024440
610022005215412
7645105300323
oct142271604740
937061852718
1013202033120
115665226981
122685401568
1313251bb523
148d351a7ba
1552405d7b5
hex312e709e0

13202033120 has 96 divisors (see below), whose sum is σ = 32938762752. Its totient is φ = 4990239232.

The previous prime is 13202033113. The next prime is 13202033129. The reversal of 13202033120 is 2133020231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13202033129) 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, 283829 + ... + 327051.

It is an arithmetic number, because the mean of its divisors is an integer number (343112112).

Almost surely, 213202033120 is an apocalyptic number.

13202033120 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 13202033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16469381376).

13202033120 is an abundant number, since it is smaller than the sum of its proper divisors (19736729632).

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

13202033120 is a wasteful number, since it uses less digits than its factorization.

13202033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43344 (or 43336 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13202033120 its reverse (2133020231), we get a palindrome (15335053351).

The spelling of 13202033120 in words is "thirteen billion, two hundred two million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 83 92 115 160 166 184 230 332 368 415 460 664 736 830 920 1328 1660 1840 1909 2656 3320 3680 3818 6640 7636 9545 13280 15272 19090 30544 38180 43223 61088 76360 86446 152720 172892 216115 305440 345784 432230 691568 864460 994129 1383136 1728920 1988258 3457840 3587509 3976516 4970645 6915680 7175018 7953032 9941290 14350036 15906064 17937545 19882580 28700072 31812128 35875090 39765160 57400144 71750180 79530320 82512707 114800288 143500360 159060640 165025414 287000720 330050828 412563535 574001440 660101656 825127070 1320203312 1650254140 2640406624 3300508280 6601016560 13202033120