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202131001300 = 225217118900589
BaseRepresentation
bin1011110000111111110…
…0100100111111010100
3201022201212010202201111
42330033330210333110
511302431014020200
6232505132504404
720413665106534
oct2741774447724
9638655122644
10202131001300
11787a5753aa8
123321131b104
13160a39729a7
149ad711b4c4
1553d05b20ba
hex2f0ff24fd4

202131001300 has 36 divisors (see below), whose sum is σ = 464425704540. Its totient is φ = 76096376320.

The previous prime is 202131001297. The next prime is 202131001313. The reversal of 202131001300 is 3100131202.

It can be written as a sum of positive squares in 6 ways, for example, as 3429904 + 202127571396 = 1852^2 + 449586^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59448595 + ... + 59451994.

It is an arithmetic number, because the mean of its divisors is an integer number (12900714015).

Almost surely, 2202131001300 is an apocalyptic number.

202131001300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202131001300 is an abundant number, since it is smaller than the sum of its proper divisors (262294703240).

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

202131001300 is a wasteful number, since it uses less digits than its factorization.

202131001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118900620 (or 118900613 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 202131001300 its reverse (3100131202), we get a palindrome (205231132502).

The spelling of 202131001300 in words is "two hundred two billion, one hundred thirty-one million, one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 118900589 237801178 475602356 594502945 1189005890 2021310013 2378011780 2972514725 4042620026 5945029450 8085240052 10106550065 11890058900 20213100130 40426200260 50532750325 101065500650 202131001300