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211320000132 = 223131197682373
BaseRepresentation
bin1100010011001110100…
…1110100111010000100
3202012110020212021101120
43010303221310322010
511430240410001012
6241025024553540
721160464235563
oct3046351647204
9665406767346
10211320000132
11816906a390a
1234b567828b0
1316c09627ac7
14a32968dbda
15576c17358c
hex3133a74e84

211320000132 has 48 divisors (see below), whose sum is σ = 499366752192. Its totient is φ = 69547354240.

The previous prime is 211320000127. The next prime is 211320000163. The reversal of 211320000132 is 231000023112.

211320000132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2113200001322 (a number of 23 digits) contains 22 as substring.

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, 31503 + ... + 650870.

It is an arithmetic number, because the mean of its divisors is an integer number (10403474004).

Almost surely, 2211320000132 is an apocalyptic number.

It is an amenable number.

211320000132 is an abundant number, since it is smaller than the sum of its proper divisors (288046752060).

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

211320000132 is a wasteful number, since it uses less digits than its factorization.

211320000132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682708 (or 682706 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 211320000132 its reverse (231000023112), we get a palindrome (442320023244).

It can be divided in two parts, 21 and 1320000132, that multiplied together give a palindrome (27720002772).

The spelling of 211320000132 in words is "two hundred eleven billion, three hundred twenty million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 131 197 262 393 394 524 591 786 788 1182 1572 2364 25807 51614 77421 103228 154842 309684 682373 1364746 2047119 2729492 4094238 8188476 89390863 134427481 178781726 268172589 268854962 357563452 403282443 536345178 537709924 806564886 1072690356 1613129772 17610000011 35220000022 52830000033 70440000044 105660000066 211320000132