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107187241044 = 2231323173172681
BaseRepresentation
bin110001111010011011…
…0111000000001010100
3101020200001201000110110
41203310312320001110
53224004413203134
6121124030323020
710513125342012
oct1436466700124
9336601630413
10107187241044
1141504448734
1218934959470
13a1528533b0
14528b7db8b2
152bc51dc7e9
hex18f4db8054

107187241044 has 96 divisors (see below), whose sum is σ = 282679052544. Its totient is φ = 31364213760.

The previous prime is 107187241043. The next prime is 107187241097. The reversal of 107187241044 is 440142781701.

It is a super-2 number, since 2×1071872410442 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 107187240993 and 107187241011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107187241043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534384 + ... + 707064.

It is an arithmetic number, because the mean of its divisors is an integer number (2944573464).

Almost surely, 2107187241044 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 107187241044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141339526272).

107187241044 is an abundant number, since it is smaller than the sum of its proper divisors (175491811500).

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

107187241044 is a wasteful number, since it uses less digits than its factorization.

107187241044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172897 (or 172895 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The spelling of 107187241044 in words is "one hundred seven billion, one hundred eighty-seven million, two hundred forty-one thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 173 276 299 346 519 598 692 897 1038 1196 1794 2076 2249 3588 3979 4498 6747 7958 8996 11937 13494 15916 23874 26988 47748 51727 103454 155181 172681 206908 310362 345362 518043 620724 690724 1036086 2072172 2244853 3971663 4489706 6734559 7943326 8979412 11914989 13469118 15886652 23829978 26938236 29873813 47659956 51631619 59747626 89621439 103263238 119495252 154894857 179242878 206526476 309789714 358485756 388359569 619579428 687097699 776719138 1165078707 1374195398 1553438276 2061293097 2330157414 2748390796 4122586194 4660314828 8245172388 8932270087 17864540174 26796810261 35729080348 53593620522 107187241044