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100323242344 = 23133154435717
BaseRepresentation
bin101110101101110111…
…0110011000101101000
3100120221200212202101101
41131123232303011220
53120430222223334
6114030551131144
710151050330003
oct1353356630550
9316850782341
10100323242344
1139601944936
121753a073ab4
1395ca7876c0
144bd9d6453a
1529227da214
hex175bbb3168

100323242344 has 64 divisors (see below), whose sum is σ = 209185482240. Its totient is φ = 44793319680.

The previous prime is 100323242311. The next prime is 100323242351. The reversal of 100323242344 is 443242323001.

100323242344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1003232423442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17545374 + ... + 17551090.

It is an arithmetic number, because the mean of its divisors is an integer number (3268523160).

Almost surely, 2100323242344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100323242344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104592741120).

100323242344 is an abundant number, since it is smaller than the sum of its proper divisors (108862239896).

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

100323242344 is a wasteful number, since it uses less digits than its factorization.

100323242344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11210 (or 11206 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 100323242344 its reverse (443242323001), we get a palindrome (543565565345).

The spelling of 100323242344 in words is "one hundred billion, three hundred twenty-three million, two hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 806 1612 3224 5443 5717 10886 11434 21772 22868 43544 45736 70759 74321 141518 148642 168733 177227 283036 297284 337466 354454 566072 594568 674932 708908 1349864 1417816 2193529 2303951 4387058 4607902 8774116 9215804 17548232 18431608 31117631 62235262 124470524 248941048 404529203 809058406 964646561 1618116812 1929293122 3236233624 3858586244 7717172488 12540405293 25080810586 50161621172 100323242344