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310042201300 = 225213238494001
BaseRepresentation
bin1001000001011111111…
…01001000110011010100
31002122021101002201011121
410200233331020303110
520034431300420200
6354233104213324
731254064141216
oct4405775106324
91078241081147
10310042201300
1110a540815817
125010860a244
13233104a3860
1411012b2c5b6
1580e9105e1a
hex482ff48cd4

310042201300 has 36 divisors (see below), whose sum is σ = 724544778076. Its totient is φ = 114477120000.

The previous prime is 310042201211. The next prime is 310042201303. The reversal of 310042201300 is 3102240013.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 104757090244 + 205285111056 = 323662^2 + 453084^2 .

It is a super-2 number, since 2×3100422013002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310042201303) 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 11 ways as a sum of consecutive naturals, for example, 119245701 + ... + 119248300.

Almost surely, 2310042201300 is an apocalyptic number.

It is an amenable number.

310042201300 is an abundant number, since it is smaller than the sum of its proper divisors (414502576776).

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

310042201300 is a wasteful number, since it uses less digits than its factorization.

310042201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238494028 (or 238494021 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 310042201300 its reverse (3102240013), we get a palindrome (313144441313).

The spelling of 310042201300 in words is "three hundred ten billion, forty-two million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 238494001 476988002 953976004 1192470005 2384940010 3100422013 4769880020 5962350025 6200844026 11924700050 12401688052 15502110065 23849400100 31004220130 62008440260 77510550325 155021100650 310042201300