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3200133132 = 2232713792693
BaseRepresentation
bin1011111010111110…
…0010100000001100
322021000121121101100
42332233202200030
523023213230012
61245313543100
7142205453130
oct27657424014
98230547340
103200133132
1113a2434429
12753874a90
133bccb7301
142250213c0
1513ae278dc
hexbebe280c

3200133132 has 72 divisors (see below), whose sum is σ = 9312410016. Its totient is φ = 907640064.

The previous prime is 3200133119. The next prime is 3200133161. The reversal of 3200133132 is 2313310023.

3200133132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11823 + ... + 80870.

It is an arithmetic number, because the mean of its divisors is an integer number (129339028).

Almost surely, 23200133132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3200133132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656205008).

3200133132 is an abundant number, since it is smaller than the sum of its proper divisors (6112276884).

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

3200133132 is a wasteful number, since it uses less digits than its factorization.

3200133132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92847 (or 92842 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3200133132 is about 56569.7192144349. The cubic root of 3200133132 is about 1473.6330351095.

Adding to 3200133132 its reverse (2313310023), we get a palindrome (5513443155).

The spelling of 3200133132 in words is "three billion, two hundred million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 137 252 274 411 548 822 959 1233 1644 1918 2466 2877 3836 4932 5754 8631 11508 17262 34524 92693 185386 278079 370772 556158 648851 834237 1112316 1297702 1668474 1946553 2595404 3336948 3893106 5839659 7786212 11679318 12698941 23358636 25397882 38096823 50795764 76193646 88892587 114290469 152387292 177785174 228580938 266677761 355570348 457161876 533355522 800033283 1066711044 1600066566 3200133132