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202131243314 = 271113100964657
BaseRepresentation
bin1011110000111111110…
…1100000000100110010
3201022201212121001200222
42330033331200010302
511302431044241224
6232505142013042
720414000135240
oct2741775400462
9638655531628
10202131243314
11787a58a9910
1233211417182
13160a3a28bb0
149ad7181790
1553d060db5e
hex2f0ff60132

202131243314 has 32 divisors (see below), whose sum is σ = 407089501056. Its totient is φ = 72694552320.

The previous prime is 202131243289. The next prime is 202131243319. The reversal of 202131243314 is 413342131202.

202131243314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (202131243319) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 50480327 + ... + 50484330.

It is an arithmetic number, because the mean of its divisors is an integer number (12721546908).

Almost surely, 2202131243314 is an apocalyptic number.

202131243314 is an abundant number, since it is smaller than the sum of its proper divisors (204958257742).

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

202131243314 is a wasteful number, since it uses less digits than its factorization.

202131243314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100964690.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 202131243314 its reverse (413342131202), we get a palindrome (615473374516).

The spelling of 202131243314 in words is "two hundred two billion, one hundred thirty-one million, two hundred forty-three thousand, three hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 100964657 201929314 706752599 1110611227 1312540541 1413505198 2221222454 2625081082 7774278589 9187783787 14437945951 15548557178 18375567574 28875891902 101065621657 202131243314