Search a number
-
+
106211656460 = 22571324489081
BaseRepresentation
bin110001011101010110…
…1010100001100001100
3101011011001222012000002
41202322231110030030
53220010141001320
6120443140223432
710450011120050
oct1427255241414
9334131865002
10106211656460
1141053790588
121870209ab78
13a0286b4300
1451d8007c60
152b69730675
hex18bab5430c

106211656460 has 72 divisors (see below), whose sum is σ = 276024674016. Its totient is φ = 33614231040.

The previous prime is 106211656409. The next prime is 106211656519. The reversal of 106211656460 is 64656112601.

It is a happy number.

It is a super-2 number, since 2×1062116564602 (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2220881 + ... + 2268200.

It is an arithmetic number, because the mean of its divisors is an integer number (3833676028).

Almost surely, 2106211656460 is an apocalyptic number.

106211656460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106211656460 is an abundant number, since it is smaller than the sum of its proper divisors (169813017556).

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

106211656460 is a wasteful number, since it uses less digits than its factorization.

106211656460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489123 (or 4489108 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 106211656460 in words is "one hundred six billion, two hundred eleven million, six hundred fifty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 169 182 260 338 364 455 676 845 910 1183 1690 1820 2366 3380 4732 5915 11830 23660 4489081 8978162 17956324 22445405 31423567 44890810 58358053 62847134 89781620 116716106 125694268 157117835 233432212 291790265 314235670 408506371 583580530 628471340 758654689 817012742 1167161060 1517309378 1634025484 2042531855 3034618756 3793273445 4085063710 5310582823 7586546890 8170127420 10621165646 15173093780 21242331292 26552914115 53105828230 106211656460