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113379900 = 22352715323
BaseRepresentation
bin1101100001000…
…00101000111100
321220100021222120
412300200220330
5213011124100
615130042540
72544466434
oct660405074
9256307876
10113379900
1158aaaaa7
1231b79450
131a6498ca
14110b52c4
159e490a0
hex6c20a3c

113379900 has 72 divisors (see below), whose sum is σ = 332728704. Its totient is φ = 29803200.

The previous prime is 113379899. The next prime is 113379901. The reversal of 113379900 is 9973311.

It is an interprime number because it is at equal distance from previous prime (113379899) and next prime (113379901).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113379901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18639 + ... + 23961.

It is an arithmetic number, because the mean of its divisors is an integer number (4621232).

Almost surely, 2113379900 is an apocalyptic number.

113379900 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 113379900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166364352).

113379900 is an abundant number, since it is smaller than the sum of its proper divisors (219348804).

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

113379900 is a wasteful number, since it uses less digits than its factorization.

113379900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5411 (or 5404 counting only the distinct ones).

The product of its (nonzero) digits is 5103, while the sum is 33.

The square root of 113379900 is about 10647.9998121713. Note that the first 3 decimals coincide. The cubic root of 113379900 is about 483.9999943082. Note that the first 5 decimals are identical.

The spelling of 113379900 in words is "one hundred thirteen million, three hundred seventy-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1420 1775 2130 3550 4260 5323 5325 7100 10646 10650 15969 21292 21300 26615 31938 53230 63876 79845 106460 133075 159690 266150 319380 377933 399225 532300 755866 798450 1133799 1511732 1596900 1889665 2267598 3779330 4535196 5668995 7558660 9448325 11337990 18896650 22675980 28344975 37793300 56689950 113379900