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133233030 = 23257732897
BaseRepresentation
bin1111111000011…
…11100110000110
3100021200221100200
413330033212012
5233101424110
621115351330
73205314330
oct774174606
9307627320
10133233030
116922aa47
1238752546
13217ab218
14139a2450
15ba6b6c0
hex7f0f986

133233030 has 96 divisors (see below), whose sum is σ = 401454144. Its totient is φ = 30025728.

The previous prime is 133233017. The next prime is 133233031. The reversal of 133233030 is 30332331.

133233030 is a `hidden beast` number, since 1 + 332 + 330 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133232994 and 133233012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133233031) 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, 44542 + ... + 47438.

It is an arithmetic number, because the mean of its divisors is an integer number (4181814).

Almost surely, 2133233030 is an apocalyptic number.

133233030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133233030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200727072).

133233030 is an abundant number, since it is smaller than the sum of its proper divisors (268221114).

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

133233030 is a wasteful number, since it uses less digits than its factorization.

133233030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 133233030 is about 11542.6613049158. The cubic root of 133233030 is about 510.7448171413.

Adding to 133233030 its reverse (30332331), we get a palindrome (163565361).

The spelling of 133233030 in words is "one hundred thirty-three million, two hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 73 90 105 126 146 210 219 315 365 438 511 630 657 730 1022 1095 1314 1533 2190 2555 2897 3066 3285 4599 5110 5794 6570 7665 8691 9198 14485 15330 17382 20279 22995 26073 28970 40558 43455 45990 52146 60837 86910 101395 121674 130365 182511 202790 211481 260730 304185 365022 422962 608370 634443 912555 1057405 1268886 1480367 1825110 1903329 2114810 2960734 3172215 3806658 4441101 6344430 7401835 8882202 9516645 13323303 14803670 19033290 22205505 26646606 44411010 66616515 133233030