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9934193100 = 223521317149837
BaseRepresentation
bin10010100000001111…
…11100000111001100
3221122022221022000210
421100013330013030
5130321123134400
64321432122420
7501115151046
oct112007740714
927568838023
109934193100
114238658347
121b12b36410
13c24189390
146a3512a96
153d220e950
hex2501fc1cc

9934193100 has 144 divisors (see below), whose sum is σ = 32774964768. Its totient is φ = 2301480960.

The previous prime is 9934193099. The next prime is 9934193119. The reversal of 9934193100 is 13914399.

It is a super-2 number, since 2×99341931002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8619 + ... + 141218.

It is an arithmetic number, because the mean of its divisors is an integer number (227603922).

Almost surely, 29934193100 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 9934193100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16387482384).

9934193100 is an abundant number, since it is smaller than the sum of its proper divisors (22840771668).

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

9934193100 is a wasteful number, since it uses less digits than its factorization.

9934193100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149884 (or 149877 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 9934193100 is about 99670.4223930048. The cubic root of 9934193100 is about 2149.6983964886.

The spelling of 9934193100 in words is "nine billion, nine hundred thirty-four million, one hundred ninety-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 25 26 30 34 39 50 51 52 60 65 68 75 78 85 100 102 130 150 156 170 195 204 221 255 260 300 325 340 390 425 442 510 650 663 780 850 884 975 1020 1105 1275 1300 1326 1700 1950 2210 2550 2652 3315 3900 4420 5100 5525 6630 11050 13260 16575 22100 33150 66300 149837 299674 449511 599348 749185 899022 1498370 1798044 1947881 2247555 2547229 2996740 3745925 3895762 4495110 5094458 5843643 7491850 7641687 7791524 8990220 9739405 10188916 11237775 11687286 12736145 14983700 15283374 19478810 22475550 23374572 25472290 29218215 30566748 33113977 38208435 38957620 44951100 48697025 50944580 58436430 63680725 66227954 76416870 97394050 99341931 116872860 127361450 132455908 146091075 152833740 165569885 191042175 194788100 198683862 254722900 292182150 331139770 382084350 397367724 496709655 584364300 662279540 764168700 827849425 993419310 1655698850 1986838620 2483548275 3311397700 4967096550 9934193100