Search a number
-
+
99032018100 = 22352743444289
BaseRepresentation
bin101110000111011000…
…1001010110010110100
3100110121201012202201020
41130032301022302310
53110304144034400
6113254503501140
710104051156561
oct1341661126264
9313551182636
1099032018100
1138aa9aa0a64
12172397577b0
139453102ca2
144b16689868
1528992802a0
hex170ec4acb4

99032018100 has 72 divisors (see below), whose sum is σ = 286918927680. Its totient is φ = 26372935680.

The previous prime is 99032018087. The next prime is 99032018149. The reversal of 99032018100 is 181023099.

It is a super-2 number, since 2×990320181002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756 + ... + 445044.

Almost surely, 299032018100 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 99032018100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143459463840).

99032018100 is an abundant number, since it is smaller than the sum of its proper divisors (187886909580).

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

99032018100 is a wasteful number, since it uses less digits than its factorization.

99032018100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445049 (or 445042 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The spelling of 99032018100 in words is "ninety-nine billion, thirty-two million, eighteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 743 1486 2229 2972 3715 4458 7430 8916 11145 14860 18575 22290 37150 44580 55725 74300 111450 222900 444289 888578 1332867 1777156 2221445 2665734 4442890 5331468 6664335 8885780 11107225 13328670 22214450 26657340 33321675 44428900 66643350 133286700 330106727 660213454 990320181 1320426908 1650533635 1980640362 3301067270 3961280724 4951600905 6602134540 8252668175 9903201810 16505336350 19806403620 24758004525 33010672700 49516009050 99032018100