Search a number
-
+
133162100 = 22522116311
BaseRepresentation
bin1111110111111…
…10010001110100
3100021120100001122
413323332101310
5233042141400
621114043112
73204600461
oct773762164
9307510048
10133162100
1169191725
1238719498
1321784b56
1413984668
15ba55685
hex7efe474

133162100 has 36 divisors (see below), whose sum is σ = 290377248. Its totient is φ = 53004000.

The previous prime is 133162097. The next prime is 133162109. The reversal of 133162100 is 1261331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133162109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17945 + ... + 24255.

Almost surely, 2133162100 is an apocalyptic number.

133162100 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 133162100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145188624).

133162100 is an abundant number, since it is smaller than the sum of its proper divisors (157215148).

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

133162100 is a wasteful number, since it uses less digits than its factorization.

133162100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6536 (or 6529 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 133162100 is about 11539.5883808739. The cubic root of 133162100 is about 510.6541650445.

The spelling of 133162100 in words is "one hundred thirty-three million, one hundred sixty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211 422 844 1055 2110 4220 5275 6311 10550 12622 21100 25244 31555 63110 126220 157775 315550 631100 1331621 2663242 5326484 6658105 13316210 26632420 33290525 66581050 133162100