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21132130302 = 2322361782729
BaseRepresentation
bin10011101011100100…
…101011011111111110
32000112201211110001200
4103223210223133332
5321234311132202
613412530520330
71345450100223
oct235344533776
960481743050
1021132130302
118a6459a2a8
1241191360a6
131cba0c811a
1410467c994a
1583a34be1c
hex4eb92b7fe

21132130302 has 48 divisors (see below), whose sum is σ = 47855003040. Its totient is φ = 6726779136.

The previous prime is 21132130259. The next prime is 21132130307. The reversal of 21132130302 is 20303123112.

21132130302 is a `hidden beast` number, since 2 + 11 + 321 + 30 + 302 = 666.

It is a super-2 number, since 2×211321303022 (a number of 21 digits) 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 not an unprimeable number, because it can be changed into a prime (21132130307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214074 + ... + 296802.

It is an arithmetic number, because the mean of its divisors is an integer number (996979230).

Almost surely, 221132130302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21132130302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23927501520).

21132130302 is an abundant number, since it is smaller than the sum of its proper divisors (26722872738).

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

21132130302 is a wasteful number, since it uses less digits than its factorization.

21132130302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83377 (or 83374 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21132130302 its reverse (20303123112), we get a palindrome (41435253414).

The spelling of 21132130302 in words is "twenty-one billion, one hundred thirty-two million, one hundred thirty thousand, three hundred two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 617 1234 1851 3702 5553 11106 14191 28382 42573 82729 85146 127719 165458 248187 255438 496374 744561 1489122 1902767 3805534 5708301 11416602 17124903 34249806 51043793 102087586 153131379 306262758 459394137 918788274 1174007239 2348014478 3522021717 7044043434 10566065151 21132130302