Search a number
-
+
106005611061060 = 223533713879377737
BaseRepresentation
bin11000000110100101011010…
…110010101001111101000100
3111220100001000022001111221020
4120012211122302221331010
5102343243442412423220
61013242145550151140
731220436601656144
oct3006453262517504
9456301008044836
10106005611061060
113085a7aa979877
12ba807207b24b0
13471c394b039c9
141c269adcc8924
15c3c6b1164040
hex60695aca9f44

106005611061060 has 96 divisors (see below), whose sum is σ = 297718707336960. Its totient is φ = 28182175838208.

The previous prime is 106005611061041. The next prime is 106005611061061. The reversal of 106005611061060 is 60160116500601.

It is a super-2 number, since 2×1060056110610602 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106005611061061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280444512 + ... + 280822248.

It is an arithmetic number, because the mean of its divisors is an integer number (3101236534760).

Almost surely, 2106005611061060 is an apocalyptic number.

106005611061060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106005611061060 is an abundant number, since it is smaller than the sum of its proper divisors (191713096275900).

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

106005611061060 is a wasteful number, since it uses less digits than its factorization.

106005611061060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391965 (or 391963 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

Adding to 106005611061060 its reverse (60160116500601), we get a palindrome (166165727561661).

The spelling of 106005611061060 in words is "one hundred six trillion, five billion, six hundred eleven million, sixty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 337 674 1011 1348 1685 2022 3370 4044 5055 6740 10110 13879 20220 27758 41637 55516 69395 83274 138790 166548 208185 277580 377737 416370 755474 832740 1133211 1510948 1888685 2266422 3777370 4532844 4677223 5666055 7554740 9354446 11332110 14031669 18708892 22664220 23386115 28063338 46772230 56126676 70158345 93544460 127297369 140316690 254594738 280633380 381892107 509189476 636486845 763784214 1272973690 1527568428 1909460535 2545947380 3818921070 5242611823 7637842140 10485223646 15727835469 20970447292 26213059115 31455670938 52426118230 62911341876 78639177345 104852236460 157278354690 314556709380 1766760184351 3533520368702 5300280553053 7067040737404 8833800921755 10600561106106 17667601843510 21201122212212 26501402765265 35335203687020 53002805530530 106005611061060