Search a number
-
+
106117474340 = 22559283731699
BaseRepresentation
bin110001011010100011…
…0000010100000100100
3101010220111202020102102
41202311012002200210
53214312033134330
6120425533431232
710444455435443
oct1426506024044
9333814666372
10106117474340
1141005603119
121869663b518
13a012029947
1451c96ccd5a
152b61329945
hex18b5182824

106117474340 has 48 divisors (see below), whose sum is σ = 226710792000. Its totient is φ = 41711524992.

The previous prime is 106117474303. The next prime is 106117474349. The reversal of 106117474340 is 43474711601.

It is a super-2 number, since 2×1061174743402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106117474294 and 106117474303.

It is not an unprimeable number, because it can be changed into a prime (106117474349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3331811 + ... + 3363509.

It is an arithmetic number, because the mean of its divisors is an integer number (4723141500).

Almost surely, 2106117474340 is an apocalyptic number.

106117474340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106117474340 is an abundant number, since it is smaller than the sum of its proper divisors (120593317660).

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

106117474340 is a wasteful number, since it uses less digits than its factorization.

106117474340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34604 (or 34602 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 106117474340 in words is "one hundred six billion, one hundred seventeen million, four hundred seventy-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 59 118 236 295 590 1180 2837 5674 11348 14185 28370 31699 56740 63398 126796 158495 167383 316990 334766 633980 669532 836915 1673830 1870241 3347660 3740482 7480964 9351205 18702410 37404820 89930063 179860126 359720252 449650315 899300630 1798601260 5305873717 10611747434 21223494868 26529368585 53058737170 106117474340