Search a number
-
+
100544504140 = 2252310119311213
BaseRepresentation
bin101110110100011101…
…0110110000101001100
3100121112010020000111201
41131220322312011030
53121403343113030
6114104533355244
710156405120063
oct1355072660514
9317463200451
10100544504140
113970582a123
12175a0198b24
139634577542
144c1b4bd1da
152936e442ca
hex1768eb614c

100544504140 has 96 divisors (see below), whose sum is σ = 223677853056. Its totient is φ = 37887590400.

The previous prime is 100544504119. The next prime is 100544504161. The reversal of 100544504140 is 41405445001.

It is an interprime number because it is at equal distance from previous prime (100544504119) and next prime (100544504161).

It is a junction number, because it is equal to n+sod(n) for n = 100544504099 and 100544504108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8961174 + ... + 8972386.

It is an arithmetic number, because the mean of its divisors is an integer number (2329977636).

Almost surely, 2100544504140 is an apocalyptic number.

100544504140 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 100544504140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111838926528).

100544504140 is an abundant number, since it is smaller than the sum of its proper divisors (123133348916).

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

100544504140 is a wasteful number, since it uses less digits than its factorization.

100544504140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11539 (or 11537 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 100544504140 its reverse (41405445001), we get a palindrome (141949949141).

The spelling of 100544504140 in words is "one hundred billion, five hundred forty-four million, five hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 101 115 193 202 230 386 404 460 505 772 965 1010 1930 2020 2323 3860 4439 4646 8878 9292 11213 11615 17756 19493 22195 22426 23230 38986 44390 44852 46460 56065 77972 88780 97465 112130 194930 224260 257899 389860 448339 515798 896678 1031596 1132513 1289495 1793356 2164109 2241695 2265026 2578990 4328218 4483390 4530052 5157980 5662565 8656436 8966780 10820545 11325130 21641090 22650260 26047799 43282180 49774507 52095598 99549014 104191196 130238995 199098028 218575009 248872535 260477990 437150018 497745070 520955980 874300036 995490140 1092875045 2185750090 4371500180 5027225207 10054450414 20108900828 25136126035 50272252070 100544504140