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100000313334 = 232191276073793
BaseRepresentation
bin101110100100001111…
…0111010111111110110
3100120010012020021001200
41131020132322333312
53114300040011314
6113534533433330
710140046432005
oct1351036727766
9316105207050
10100000313334
113945662a559
1217469a9b846
1395788bc24c
144ba9102c3c
15290429c709
hex17487baff6

100000313334 has 96 divisors (see below), whose sum is σ = 230306119680. Its totient is φ = 31270530816.

The previous prime is 100000313333. The next prime is 100000313351. The reversal of 100000313334 is 433313000001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000313333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26362542 + ... + 26366334.

It is an arithmetic number, because the mean of its divisors is an integer number (2399022080).

Almost surely, 2100000313334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100000313334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115153059840).

100000313334 is an abundant number, since it is smaller than the sum of its proper divisors (130305806346).

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

100000313334 is a wasteful number, since it uses less digits than its factorization.

100000313334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100000313334 its reverse (433313000001), we get a palindrome (533313313335).

The spelling of 100000313334 in words is "one hundred billion, three hundred thirteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 127 171 254 342 381 607 762 1143 1214 1821 2286 2413 3642 3793 4826 5463 7239 7586 10926 11379 11533 14478 21717 22758 23066 34137 34599 43434 68274 69198 72067 77089 103797 144134 154178 207594 216201 231267 432402 462534 481711 648603 693801 963422 1297206 1387602 1445133 1464691 2302351 2890266 2929382 4335399 4394073 4604702 6907053 8670798 8788146 9152509 13182219 13814106 18305018 20721159 26364438 27457527 41442318 43744669 54915054 82372581 87489338 131234007 164745162 262468014 292398577 393702021 584797154 787404042 877195731 1754391462 2631587193 5263174386 5555572963 11111145926 16666718889 33333437778 50000156667 100000313334