Search a number
-
+
100017379380 = 223559147119207
BaseRepresentation
bin101110100100110000…
…0000001100000110100
3100120011101100022021110
41131021200001200310
53114313422120010
6113540343315020
710140344461152
oct1351140014064
9316141308243
10100017379380
1139465226526
121747374ba70
13957c2b60b9
144bab4a63d2
152905a1e120
hex1749801834

100017379380 has 96 divisors (see below), whose sum is σ = 285003694080. Its totient is φ = 26200056960.

The previous prime is 100017379339. The next prime is 100017379409. The reversal of 100017379380 is 83973710001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5197737 + ... + 5216943.

It is an arithmetic number, because the mean of its divisors is an integer number (2968788480).

Almost surely, 2100017379380 is an apocalyptic number.

100017379380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100017379380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142501847040).

100017379380 is an abundant number, since it is smaller than the sum of its proper divisors (184986314700).

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

100017379380 is a wasteful number, since it uses less digits than its factorization.

100017379380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20749 (or 20747 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The spelling of 100017379380 in words is "one hundred billion, seventeen million, three hundred seventy-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1471 1770 2942 3540 4413 5884 7355 8826 14710 17652 19207 22065 29420 38414 44130 57621 76828 86789 88260 96035 115242 173578 192070 230484 260367 288105 347156 384140 433945 520734 576210 867890 1041468 1133213 1152420 1301835 1735780 2266426 2603670 3399639 4532852 5207340 5666065 6799278 11332130 13598556 16998195 22664260 28253497 33996390 56506994 67992780 84760491 113013988 141267485 169520982 282534970 339041964 423802455 565069940 847604910 1666956323 1695209820 3333912646 5000868969 6667825292 8334781615 10001737938 16669563230 20003475876 25004344845 33339126460 50008689690 100017379380