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202131312123 = 31324124872
BaseRepresentation
bin1011110000111111110…
…1110000110111111011
3201022201212201120002110
42330033331300313323
511302431103441443
6232505143303403
720414000542656
oct2741775606773
9638655646073
10202131312123
11787a5946584
123321144ab63
13160a3a51300
149ad719c89d
1553d0624233
hex2f0ff70dfb

202131312123 has 54 divisors (see below), whose sum is σ = 299741564052. Its totient is φ = 121105445760.

The previous prime is 202131312121. The next prime is 202131312139. The reversal of 202131312123 is 321213131202.

It is not a de Polignac number, because 202131312123 - 21 = 202131312121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 202131312123.

It is not an unprimeable number, because it can be changed into a prime (202131312121) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 415053786 + ... + 415054272.

Almost surely, 2202131312123 is an apocalyptic number.

202131312123 is a deficient number, since it is larger than the sum of its proper divisors (97610251929).

202131312123 is an frugal number, since it uses more digits than its factorization.

202131312123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Multiplying 202131312123 by its product of nonzero digits (432), we get a square (87320726837136 = 93445562).

Adding to 202131312123 its reverse (321213131202), we get a palindrome (523344443325).

The spelling of 202131312123 in words is "two hundred two billion, one hundred thirty-one million, three hundred twelve thousand, one hundred twenty-three".

Divisors: 1 3 13 39 41 123 169 487 507 533 1461 1599 1681 5043 6331 6929 18993 19967 20787 21853 59901 65559 82303 237169 246909 259571 284089 711507 778713 818647 852267 2455941 3083197 3374423 9249591 9723929 10123269 10642411 29171787 31927233 40081561 120244683 126411077 138351343 379233231 398681089 415054029 1196043267 1643344001 4930032003 5182854157 15548562471 67377104041 202131312123