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109921382004 = 223714923337693
BaseRepresentation
bin110011001011111010…
…0110010111001110100
3101111201121110202202110
41212113310302321310
53300104333211004
6122255220411020
710640645221320
oct1462764627164
9344647422673
10109921382004
1142687833265
1219378546a70
13a49a131895
14546a99a980
152cd5268589
hex1997d32e74

109921382004 has 96 divisors (see below), whose sum is σ = 296365305600. Its totient is φ = 31060620288.

The previous prime is 109921381991. The next prime is 109921382027. The reversal of 109921382004 is 400283129901.

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, 2897382 + ... + 2935074.

It is an arithmetic number, because the mean of its divisors is an integer number (3087138600).

Almost surely, 2109921382004 is an apocalyptic number.

109921382004 is a gapful number since it is divisible by the number (14) 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 109921382004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148182652800).

109921382004 is an abundant number, since it is smaller than the sum of its proper divisors (186443923596).

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

109921382004 is a wasteful number, since it uses less digits than its factorization.

109921382004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38089 (or 38087 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 109921382004 in words is "one hundred nine billion, nine hundred twenty-one million, three hundred eighty-two thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 149 233 298 447 466 596 699 894 932 1043 1398 1631 1788 2086 2796 3129 3262 4172 4893 6258 6524 9786 12516 19572 34717 37693 69434 75386 104151 113079 138868 150772 208302 226158 243019 263851 416604 452316 486038 527702 729057 791553 972076 1055404 1458114 1583106 2916228 3166212 5616257 8782469 11232514 16848771 17564938 22465028 26347407 33697542 35129876 39313799 52694814 61477283 67395084 78627598 105389628 117941397 122954566 157255196 184431849 235882794 245909132 368863698 471765588 737727396 1308587881 2617175762 3925763643 5234351524 7851527286 9160115167 15703054572 18320230334 27480345501 36640460668 54960691002 109921382004