Search a number
-
+
110100993604 = 22747679411327
BaseRepresentation
bin110011010001010000…
…1111101011001000100
3101112012010102222112221
41212202201331121010
53300441323243404
6122325114222124
710645256001310
oct1464241753104
9345163388487
10110100993604
114276a1600a8
1219408724944
13a4c83caa34
145486792b40
152ce5de6954
hex19a287d644

110100993604 has 96 divisors (see below), whose sum is σ = 228658397184. Its totient is φ = 45410302080.

The previous prime is 110100993599. The next prime is 110100993617. The reversal of 110100993604 is 406399001011.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 110100993604.

It is an unprimeable number.

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, 82969189 + ... + 82970515.

It is an arithmetic number, because the mean of its divisors is an integer number (2381858304).

Almost surely, 2110100993604 is an apocalyptic number.

110100993604 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 110100993604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114329198592).

110100993604 is an abundant number, since it is smaller than the sum of its proper divisors (118557403580).

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

110100993604 is a wasteful number, since it uses less digits than its factorization.

110100993604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

Adding to 110100993604 its reverse (406399001011), we get a palindrome (516499994615).

The spelling of 110100993604 in words is "one hundred ten billion, one hundred million, nine hundred ninety-three thousand, six hundred four".

Divisors: 1 2 4 7 14 28 47 67 94 134 188 268 329 469 658 938 941 1316 1327 1876 1882 2654 3149 3764 5308 6298 6587 9289 12596 13174 18578 22043 26348 37156 44086 44227 62369 63047 88172 88454 88909 124738 126094 176908 177818 249476 252188 309589 355636 436583 441329 619178 622363 873166 882658 1238356 1244726 1248707 1746332 1765316 2489452 2497414 2963209 4178723 4994828 5926418 8357446 8740949 11852836 16714892 17481898 20742463 29251061 34963796 41484926 58502122 58689229 82969852 83663369 117004244 117378458 167326738 234756916 334653476 410824603 585643583 821649206 1171287166 1643298412 2342574332 3932178343 7864356686 15728713372 27525248401 55050496802 110100993604