Search a number
-
+
100031331021344 = 25171131627266577
BaseRepresentation
bin10110101111101001011011…
…111100111011001000100000
3111010011220100110011022200122
4112233221123330323020200
5101102403131220140334
6552425431543135412
730033011430342632
oct2657513374731040
9433156313138618
10100031331021344
112996705a606248
12b2768aa444568
1343a7bb61b7b28
141a9b783d34a52
15b870a01b532e
hex5afa5bf3b220

100031331021344 has 48 divisors (see below), whose sum is σ = 210366514137528. Its totient is φ = 46656987267072.

The previous prime is 100031331021301. The next prime is 100031331021367. The reversal of 100031331021344 is 443120133130001.

It can be written as a sum of positive squares in 4 ways, for example, as 93712080250000 + 6319250771344 = 9680500^2 + 2513812^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 813571817 + ... + 813694760.

Almost surely, 2100031331021344 is an apocalyptic number.

It is an amenable number.

100031331021344 is an abundant number, since it is smaller than the sum of its proper divisors (110335183116184).

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

100031331021344 is a wasteful number, since it uses less digits than its factorization.

100031331021344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627266717 (or 1627266709 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 100031331021344 its reverse (443120133130001), we get a palindrome (543151464151345).

The spelling of 100031331021344 in words is "one hundred trillion, thirty-one billion, three hundred thirty-one million, twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 113 136 226 272 452 544 904 1808 1921 3616 3842 7684 15368 30736 61472 1627266577 3254533154 6509066308 13018132616 26036265232 27663531809 52072530464 55327063618 110654127236 183881123201 221308254472 367762246402 442616508944 735524492804 885233017888 1471048985608 2942097971216 3125979094417 5884195942432 6251958188834 12503916377668 25007832755336 50015665510672 100031331021344