Search a number
-
+
212132011332010 = 257111299672119739
BaseRepresentation
bin110000001110111011010101…
…001011100101000110101010
31000211002121210121022122210211
4300032323111023211012222
5210301032324400111020
62031100033424331334
762453013665204230
oct6016732513450652
91024077717278724
10212132011332010
1161656754143840
121b960731473b4a
139149c69467573
143a5535bc76950
15197d0916c385a
hexc0eed52e51aa

212132011332010 has 64 divisors (see below), whose sum is σ = 476061180456960. Its totient is φ = 66118528537920.

The previous prime is 212132011331993. The next prime is 212132011332011. The reversal of 212132011332010 is 10233110231212.

212132011332010 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 (22).

It is not an unprimeable number, because it can be changed into a prime (212132011332011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99014721 + ... + 101134459.

It is an arithmetic number, because the mean of its divisors is an integer number (7438455944640).

Almost surely, 2212132011332010 is an apocalyptic number.

212132011332010 is an abundant number, since it is smaller than the sum of its proper divisors (263929169124950).

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

212132011332010 is a wasteful number, since it uses less digits than its factorization.

212132011332010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249731.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 212132011332010 its reverse (10233110231212), we get a palindrome (222365121563222).

The spelling of 212132011332010 in words is "two hundred twelve trillion, one hundred thirty-two billion, eleven million, three hundred thirty-two thousand, ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 770 129967 259934 649835 909769 1299670 1429637 1819538 2119739 2859274 4239478 4548845 7148185 9097690 10007459 10598695 14296370 14838173 20014918 21197390 23317129 29676346 46634258 50037295 74190865 100074590 116585645 148381730 163219903 233171290 326439806 816099515 1632199030 275496118613 550992237226 1377480593065 1928472830291 2754961186130 3030457304743 3856945660582 6060914609486 9642364151455 15152286523715 19284728302910 21213201133201 30304573047430 42426402266402 106066005666005 212132011332010