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133300310 = 25111331297
BaseRepresentation
bin1111111001000…
…00000001010110
3100021211100122112
413330200001112
5233111102220
621121031022
73206014433
oct774400126
9307740575
10133300310
1169276550
1238785472
1321802a30
14139bcb8a
15ba815c5
hex7f20056

133300310 has 96 divisors (see below), whose sum is σ = 294277536. Its totient is φ = 42854400.

The previous prime is 133300309. The next prime is 133300313. The reversal of 133300310 is 13003331.

It is a super-2 number, since 2×1333003102 = 35537945292192200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133300313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1374182 + ... + 1374278.

It is an arithmetic number, because the mean of its divisors is an integer number (3065391).

Almost surely, 2133300310 is an apocalyptic number.

133300310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133300310 is an abundant number, since it is smaller than the sum of its proper divisors (160977226).

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

133300310 is a wasteful number, since it uses less digits than its factorization.

133300310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 133300310 is about 11545.5753429615. The cubic root of 133300310 is about 510.8307746268.

Adding to 133300310 its reverse (13003331), we get a palindrome (146303641).

The spelling of 133300310 in words is "one hundred thirty-three million, three hundred thousand, three hundred ten".

Divisors: 1 2 5 10 11 13 22 26 31 55 62 65 97 110 130 143 155 194 286 310 341 403 485 682 715 806 961 970 1067 1261 1430 1705 1922 2015 2134 2522 3007 3410 4030 4433 4805 5335 6014 6305 8866 9610 10571 10670 12493 12610 13871 15035 21142 22165 24986 27742 30070 33077 39091 44330 52855 62465 66154 69355 78182 93217 105710 124930 137423 138710 165385 186434 195455 274846 330770 390910 430001 466085 687115 860002 932170 1025387 1211821 1374230 2050774 2150005 2423642 4300010 5126935 6059105 10253870 12118210 13330031 26660062 66650155 133300310