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202102103296 = 283753402581
BaseRepresentation
bin1011110000111000111…
…0010101110100000000
3201022122211202121010001
42330032032111310000
511302401114301141
6232502221245344
720413164351022
oct2741616256400
9638584677101
10202102103296
1178790406555
1233203703854
131609a995492
149ad3358012
1553ccca4a31
hex2f0e395d00

202102103296 has 72 divisors (see below), whose sum is σ = 422136212904. Its totient is φ = 96464609280.

The previous prime is 202102103279. The next prime is 202102103303. The reversal of 202102103296 is 692301201202.

It can be written as a sum of positive squares in 4 ways, for example, as 158531385600 + 43570717696 = 398160^2 + 208736^2 .

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 7 ways as a sum of consecutive naturals, for example, 300726 + ... + 703306.

It is an arithmetic number, because the mean of its divisors is an integer number (5863002957).

Almost surely, 2202102103296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202102103296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211068106452).

202102103296 is an abundant number, since it is smaller than the sum of its proper divisors (220034109608).

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

202102103296 is an equidigital number, since it uses as much as digits as its factorization.

202102103296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402687 (or 402673 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 202102103296 its reverse (692301201202), we get a palindrome (894403304498).

The spelling of 202102103296 in words is "two hundred two billion, one hundred two million, one hundred three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 53 64 74 106 128 148 212 256 296 424 592 848 1184 1696 1961 2368 3392 3922 4736 6784 7844 9472 13568 15688 31376 62752 125504 251008 402581 502016 805162 1610324 3220648 6441296 12882592 14895497 21336793 25765184 29790994 42673586 51530368 59581988 85347172 103060736 119163976 170694344 238327952 341388688 476655904 682777376 789461341 953311808 1365554752 1578922682 1906623616 2731109504 3157845364 3813247232 5462219008 6315690728 12631381456 25262762912 50525525824 101051051648 202102103296