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21132213232 = 24132915123201
BaseRepresentation
bin10011101011100100…
…111111101111110000
32000112201222122211011
4103223210333233300
5321234321310412
613412532400304
71345450564054
oct235344775760
960481878734
1021132213232
118a64646639
124119176094
131cba126ab0
14104680bc64
1583a3667a7
hex4eb93fbf0

21132213232 has 80 divisors (see below), whose sum is σ = 45917686080. Its totient is φ = 9354240000.

The previous prime is 21132213209. The next prime is 21132213247. The reversal of 21132213232 is 23231223112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 899232 + ... + 922432.

It is an arithmetic number, because the mean of its divisors is an integer number (573971076).

Almost surely, 221132213232 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 21132213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22958843040).

21132213232 is an abundant number, since it is smaller than the sum of its proper divisors (24785472848).

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

21132213232 is a wasteful number, since it uses less digits than its factorization.

21132213232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23402 (or 23396 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

Adding to 21132213232 its reverse (23231223112), we get a palindrome (44363436344).

The spelling of 21132213232 in words is "twenty-one billion, one hundred thirty-two million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 151 208 232 302 377 464 604 754 1208 1508 1963 2416 3016 3926 4379 6032 7852 8758 15704 17516 23201 31408 35032 46402 56927 70064 92804 113854 185608 227708 301613 371216 455416 603226 672829 910832 1206452 1345658 2412904 2691316 3503351 4825808 5382632 7006702 8746777 10765264 14013404 17493554 28026808 34987108 45543563 56053616 69974216 91087126 101597179 139948432 182174252 203194358 364348504 406388716 728697008 812777432 1320763327 1625554864 2641526654 5283053308 10566106616 21132213232