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100123314324 = 22311932381359
BaseRepresentation
bin101110100111111010…
…0001000100010010100
3100120102202200100200220
41131033310020202110
53120023032024244
6113555050034340
710143102062325
oct1351764104224
9316382610626
10100123314324
113950a000a70
12174a31189b0
1395982270b7
144bbb5a044c
15290ee97319
hex174fd08894

100123314324 has 48 divisors (see below), whose sum is σ = 254889815040. Its totient is φ = 30336771040.

The previous prime is 100123314311. The next prime is 100123314373. The reversal of 100123314324 is 423413321001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100123314294 and 100123314303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1189957 + ... + 1271315.

It is an arithmetic number, because the mean of its divisors is an integer number (5310204480).

Almost surely, 2100123314324 is an apocalyptic number.

It is an amenable number.

100123314324 is an abundant number, since it is smaller than the sum of its proper divisors (154766500716).

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

100123314324 is a wasteful number, since it uses less digits than its factorization.

100123314324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90700 (or 90698 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 100123314324 its reverse (423413321001), we get a palindrome (523536635325).

The spelling of 100123314324 in words is "one hundred billion, one hundred twenty-three million, three hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 9323 18646 27969 37292 55938 81359 102553 111876 162718 205106 244077 307659 325436 410212 488154 615318 894949 976308 1230636 1789898 2684847 3579796 5369694 10739388 758509957 1517019914 2275529871 3034039828 4551059742 8343609527 9102119484 16687219054 25030828581 33374438108 50061657162 100123314324