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202113132 = 223131737489
BaseRepresentation
bin11000000110000…
…00000001101100
3112002022102002120
430003000001230
5403220110012
632015552540
75002635054
oct1403000154
9462272076
10202113132
11a40a6651
125782b750
1332b47090
141cbb2564
1512b2558c
hexc0c006c

202113132 has 48 divisors (see below), whose sum is σ = 510877920. Its totient is φ = 61820928.

The previous prime is 202113083. The next prime is 202113137. The reversal of 202113132 is 231311202.

It is not an unprimeable number, because it can be changed into a prime (202113137) 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, 23244 + ... + 30732.

It is an arithmetic number, because the mean of its divisors is an integer number (10643290).

Almost surely, 2202113132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202113132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255438960).

202113132 is an abundant number, since it is smaller than the sum of its proper divisors (308764788).

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

202113132 is a wasteful number, since it uses less digits than its factorization.

202113132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7682 (or 7680 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 202113132 is about 14216.6498163245. The cubic root of 202113132 is about 586.8559480206.

Adding to 202113132 its reverse (231311202), we get a palindrome (433424334).

The spelling of 202113132 in words is "two hundred two million, one hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 173 346 519 692 1038 2076 2249 4498 6747 7489 8996 13494 14978 22467 26988 29956 44934 89868 97357 194714 292071 389428 584142 1168284 1295597 2591194 3886791 5182388 7773582 15547164 16842761 33685522 50528283 67371044 101056566 202113132