Search a number
-
+
202102212102 = 23747159764109
BaseRepresentation
bin1011110000111000111…
…0110000011000000110
3201022122211222010100220
42330032032300120012
511302401131241402
6232502223445210
720413165313160
oct2741616603006
9638584863326
10202102212102
117879048027a
1233203756806
131609aa02b6b
149ad3385930
1553cccc6dbc
hex2f0e3b0606

202102212102 has 64 divisors (see below), whose sum is σ = 472079370240. Its totient is φ = 56478635136.

The previous prime is 202102212043. The next prime is 202102212133. The reversal of 202102212102 is 201212201202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3120424 + ... + 3184532.

It is an arithmetic number, because the mean of its divisors is an integer number (7376240160).

Almost surely, 2202102212102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202102212102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236039685120).

202102212102 is an abundant number, since it is smaller than the sum of its proper divisors (269977158138).

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

202102212102 is a wasteful number, since it uses less digits than its factorization.

202102212102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65765.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202102212102 its reverse (201212201202), we get a palindrome (403314413304).

The spelling of 202102212102 in words is "two hundred two billion, one hundred two million, two hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 329 658 987 1597 1974 3194 4791 9582 11179 22358 33537 64109 67074 75059 128218 150118 192327 225177 384654 448763 450354 525413 897526 1050826 1346289 1576239 2692578 3013123 3152478 6026246 9039369 18078738 21091861 42183722 63275583 102382073 126551166 204764146 307146219 614292438 716674511 1433349022 2150023533 4300047066 4811957431 9623914862 14435872293 28871744586 33683702017 67367404034 101051106051 202102212102