Search a number
-
+
106689395220 = 223511330751257
BaseRepresentation
bin110001101011100101…
…1101111101000010100
3101012101100220211101020
41203113023233220110
53221444441121340
6121002404001140
710464601616322
oct1432713575024
9335340824336
10106689395220
1141279422801
12188160901b0
13a0a3673975
145241646d12
152b9664c9d0
hex18d72efa14

106689395220 has 96 divisors (see below), whose sum is σ = 302361510528. Its totient is φ = 28106330112.

The previous prime is 106689395171. The next prime is 106689395231. The reversal of 106689395220 is 22593986601.

It is a super-2 number, since 2×1066893952202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2055832 + ... + 2107088.

It is an arithmetic number, because the mean of its divisors is an integer number (3149599068).

Almost surely, 2106689395220 is an apocalyptic number.

106689395220 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 106689395220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151180755264).

106689395220 is an abundant number, since it is smaller than the sum of its proper divisors (195672115308).

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

106689395220 is a wasteful number, since it uses less digits than its factorization.

106689395220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51689 (or 51687 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 106689395220 in words is "one hundred six billion, six hundred eighty-nine million, three hundred ninety-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 307 339 452 565 614 678 921 1130 1228 1356 1535 1695 1842 2260 3070 3390 3684 4605 6140 6780 9210 18420 34691 51257 69382 102514 104073 138764 153771 173455 205028 208146 256285 307542 346910 416292 512570 520365 615084 693820 768855 1025140 1040730 1537710 2081460 3075420 5792041 11584082 15735899 17376123 23168164 28960205 31471798 34752246 47207697 57920410 62943596 69504492 78679495 86880615 94415394 115840820 157358990 173761230 188830788 236038485 314717980 347522460 472076970 944153940 1778156587 3556313174 5334469761 7112626348 8890782935 10668939522 17781565870 21337879044 26672348805 35563131740 53344697610 106689395220