Search a number
-
+
213114010122 = 23413101193737
BaseRepresentation
bin1100011001111010010…
…1011011101000001010
3202101002021121102110000
43012132211123220022
511442424141310442
6241523032503430
721253110124446
oct3063645335012
9671067542400
10213114010122
11824213370a2
123537754ab76
13171341cb590
14a459a47826
1558248e6d4c
hex319e95ba0a

213114010122 has 40 divisors (see below), whose sum is σ = 514266576516. Its totient is φ = 65573540928.

The previous prime is 213114010111. The next prime is 213114010133. The reversal of 213114010122 is 221010411312.

213114010122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213114010111) and next prime (213114010133).

It can be written as a sum of positive squares in 2 ways, for example, as 163580611401 + 49533398721 = 404451^2 + 222561^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213114010095 and 213114010104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50594763 + ... + 50598974.

Almost surely, 2213114010122 is an apocalyptic number.

213114010122 is an abundant number, since it is smaller than the sum of its proper divisors (301152566394).

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

213114010122 is a wasteful number, since it uses less digits than its factorization.

213114010122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101193764 (or 101193755 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 213114010122 its reverse (221010411312), we get a palindrome (434124421434).

The spelling of 213114010122 in words is "two hundred thirteen billion, one hundred fourteen million, ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 101193737 202387474 303581211 607162422 910743633 1315518581 1821487266 2631037162 2732230899 3946555743 5464461798 7893111486 8196692697 11839667229 16393385394 23679334458 35519001687 71038003374 106557005061 213114010122