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133113310 = 2511373137
BaseRepresentation
bin1111110111100…
…10010111011110
3100021110212010121
413323302113132
5233034111220
621113025154
73204305311
oct773622736
9307425117
10133113310
1169159000
12386b51ba
1321768895
1413970978
15ba45eaa
hex7ef25de

133113310 has 64 divisors (see below), whose sum is σ = 269106624. Its totient is φ = 47393280.

The previous prime is 133113301. The next prime is 133113311. The reversal of 133113310 is 13311331.

It is a super-2 number, since 2×1331133102 = 35438306598312200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133113311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 971562 + ... + 971698.

It is an arithmetic number, because the mean of its divisors is an integer number (4204791).

Almost surely, 2133113310 is an apocalyptic number.

133113310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133113310 is an abundant number, since it is smaller than the sum of its proper divisors (135993314).

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

133113310 is a wasteful number, since it uses less digits than its factorization.

133113310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 133113310 is about 11537.4741603178. The cubic root of 133113310 is about 510.5917902892.

Adding to 133113310 its reverse (13311331), we get a palindrome (146424641).

It can be divided in two parts, 1331 and 13310, that added together give a palindrome (14641).

The spelling of 133113310 in words is "one hundred thirty-three million, one hundred thirteen thousand, three hundred ten".

Divisors: 1 2 5 10 11 22 55 73 110 121 137 146 242 274 365 605 685 730 803 1210 1331 1370 1507 1606 2662 3014 4015 6655 7535 8030 8833 10001 13310 15070 16577 17666 20002 33154 44165 50005 82885 88330 97163 100010 110011 165770 182347 194326 220022 364694 485815 550055 911735 971630 1100110 1210121 1823470 2420242 6050605 12101210 13311331 26622662 66556655 133113310