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2133130302 = 23510143457
BaseRepresentation
bin111111100100100…
…1111110000111110
312111122212020200000
41333021033300332
513332040132202
6551400215130
7103601210532
oct17711176076
95448766600
102133130302
119a5107406
124b646a4a6
1327cc1a8a4
14163431bc2
15c740d91c
hex7f24fc3e

2133130302 has 48 divisors (see below), whose sum is σ = 4840525872. Its totient is φ = 703987200.

The previous prime is 2133130261. The next prime is 2133130313. The reversal of 2133130302 is 2030313312.

2133130302 is a `hidden beast` number, since 2 + 1 + 331 + 30 + 302 = 666.

It is a super-2 number, since 2×21331303022 = 9100489770621222408, which contains 22 as substring.

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

It is a congruent number.

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, 27358 + ... + 70814.

It is an arithmetic number, because the mean of its divisors is an integer number (100844289).

Almost surely, 22133130302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133130302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420262936).

2133130302 is an abundant number, since it is smaller than the sum of its proper divisors (2707395570).

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

2133130302 is a wasteful number, since it uses less digits than its factorization.

2133130302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43575 (or 43563 counting only the distinct ones).

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

The square root of 2133130302 is about 46185.8236042186. The cubic root of 2133130302 is about 1287.2783397208.

Adding to 2133130302 its reverse (2030313312), we get a palindrome (4163443614).

The spelling of 2133130302 in words is "two billion, one hundred thirty-three million, one hundred thirty thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 243 303 486 606 909 1818 2727 5454 8181 16362 24543 43457 49086 86914 130371 260742 391113 782226 1173339 2346678 3520017 4389157 7040034 8778314 10560051 13167471 21120102 26334942 39502413 79004826 118507239 237014478 355521717 711043434 1066565151 2133130302