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133213100 = 22524132491
BaseRepresentation
bin1111111000010…
…10101110101100
3100021122221000112
413330022232230
5233100304400
621115115152
73205202246
oct774125654
9307587015
10133213100
1169216a79
1238742ab8
13217a2127
1413999096
15ba65835
hex7f0abac

133213100 has 36 divisors (see below), whose sum is σ = 296132088. Its totient is φ = 51984000.

The previous prime is 133213063. The next prime is 133213109. The reversal of 133213100 is 1312331.

133213100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1332131002 = 35491460023220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133213109) 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, 12146 + ... + 20345.

Almost surely, 2133213100 is an apocalyptic number.

133213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133213100 is an abundant number, since it is smaller than the sum of its proper divisors (162918988).

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

133213100 is a wasteful number, since it uses less digits than its factorization.

133213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32546 (or 32539 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 133213100 is about 11541.7979535253. The cubic root of 133213100 is about 510.7193488527.

Adding to 133213100 its reverse (1312331), we get a palindrome (134525431).

The spelling of 133213100 in words is "one hundred thirty-three million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 32491 64982 129964 162455 324910 649820 812275 1332131 1624550 2664262 3249100 5328524 6660655 13321310 26642620 33303275 66606550 133213100