Search a number
-
+
100060279224 = 23329597193389
BaseRepresentation
bin101110100110000001…
…1101011000110111000
3100120021101001211210120
41131030003223012320
53114410412413344
6113544515013240
710141405224453
oct1351403530670
9316241054716
10100060279224
1139487467844
1217485b9a220
139588156819
144bb307249a
152909695219
hex174c0eb1b8

100060279224 has 128 divisors (see below), whose sum is σ = 263606400000. Its totient is φ = 31604131328.

The previous prime is 100060279219. The next prime is 100060279247. The reversal of 100060279224 is 422972060001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29523322 + ... + 29526710.

It is an arithmetic number, because the mean of its divisors is an integer number (2059425000).

Almost surely, 2100060279224 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 100060279224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131803200000).

100060279224 is an abundant number, since it is smaller than the sum of its proper divisors (163546120776).

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

100060279224 is a wasteful number, since it uses less digits than its factorization.

100060279224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4205 (or 4201 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 100060279224 in words is "one hundred billion, sixty million, two hundred seventy-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 59 87 116 118 174 177 232 236 348 354 472 696 708 719 1416 1438 1711 2157 2876 3389 3422 4314 5133 5752 6778 6844 8628 10167 10266 13556 13688 17256 20334 20532 20851 27112 40668 41064 41702 42421 62553 81336 83404 84842 98281 125106 127263 166808 169684 196562 199951 250212 254526 294843 339368 393124 399902 500424 509052 589686 599853 786248 799804 1018104 1179372 1199706 1230209 1599608 2358744 2399412 2436691 2460418 3690627 4798824 4873382 4920836 5798579 7310073 7381254 9746764 9841672 11597158 14620146 14762508 17395737 19493528 23194316 29240292 29525016 34791474 46388632 58480584 69582948 70664039 139165896 141328078 143764769 211992117 282656156 287529538 423984234 431294307 565312312 575059076 847968468 862588614 1150118152 1695936936 1725177228 3450354456 4169178301 8338356602 12507534903 16676713204 25015069806 33353426408 50030139612 100060279224