Search a number
-
+
212133111031122 = 23229180185725103
BaseRepresentation
bin110000001110111100010110…
…101110100110010101010010
31000211002201122020121011101120
4300032330112232212111102
5210301042102410443442
62031100334510543110
762453053150405131
oct6016742656462522
91024081566534346
10212133111031122
1161657168972a86
121b960999807a96
13914a0b32412b8
143a55423d37918
15197d107eea4ec
hexc0ef16ba6552

212133111031122 has 32 divisors (see below), whose sum is σ = 426355519246080. Its totient is φ = 70363163721600.

The previous prime is 212133111031103. The next prime is 212133111031151. The reversal of 212133111031122 is 221130111331212.

212133111031122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212133111031092 and 212133111031101.

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, 40387978 + ... + 45337125.

It is an arithmetic number, because the mean of its divisors is an integer number (13323609976440).

Almost surely, 2212133111031122 is an apocalyptic number.

212133111031122 is an abundant number, since it is smaller than the sum of its proper divisors (214222408214958).

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

212133111031122 is a wasteful number, since it uses less digits than its factorization.

212133111031122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85727138.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 212133111031122 its reverse (221130111331212), we get a palindrome (433263222362334).

The spelling of 212133111031122 in words is "two hundred twelve trillion, one hundred thirty-three billion, one hundred eleven million, thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 229 458 687 1374 1801 3602 5403 10806 412429 824858 1237287 2474574 85725103 171450206 257175309 514350618 19631048587 39262097174 58893145761 117786291522 154390910503 308781821006 463172731509 926345463018 35355518505187 70711037010374 106066555515561 212133111031122