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202400002313 = 1777411538029
BaseRepresentation
bin1011110001111111111…
…0101111000100001001
3201100102121022102201222
42330133332233010021
511304003400033223
6232551542251425
720423442430205
oct2743776570411
9640377272658
10202400002313
1178923585493
1233287426b75
1316117608ba2
149b20b41b05
1553e8eeb0c8
hex2f1ffaf109

202400002313 has 8 divisors (see below), whose sum is σ = 214333708680. Its totient is φ = 190469387520.

The previous prime is 202400002303. The next prime is 202400002327. The reversal of 202400002313 is 313200004202.

It can be written as a sum of positive squares in 4 ways, for example, as 11965515769 + 190434486544 = 109387^2 + 436388^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 202400002313 - 212 = 202399998217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202400002291 and 202400002300.

It is not an unprimeable number, because it can be changed into a prime (202400002303) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 637418 + ... + 900611.

It is an arithmetic number, because the mean of its divisors is an integer number (26791713585).

Almost surely, 2202400002313 is an apocalyptic number.

It is an amenable number.

202400002313 is a deficient number, since it is larger than the sum of its proper divisors (11933706367).

202400002313 is a wasteful number, since it uses less digits than its factorization.

202400002313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545787.

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 202400002313 its reverse (313200004202), we get a palindrome (515600006515).

The spelling of 202400002313 in words is "two hundred two billion, four hundred million, two thousand, three hundred thirteen".

Divisors: 1 17 7741 131597 1538029 26146493 11905882489 202400002313