Search a number
-
+
106223118820 = 225713311882721
BaseRepresentation
bin110001011101101100…
…1000010100111100100
3101011011212112112101221
41202323121002213210
53220021104300240
6120444230030124
710450210420030
oct1427331024744
9334155475357
10106223118820
114105a1aa405
1218705aa8344
13a02ab98680
1451d974d1c0
152b6a746a4a
hex18bb6429e4

106223118820 has 96 divisors (see below), whose sum is σ = 283402377216. Its totient is φ = 32533401600.

The previous prime is 106223118763. The next prime is 106223118847. The reversal of 106223118820 is 28811322601.

It is a happy number.

It is a super-2 number, since 2×1062231188202 (a number of 23 digits) contains 22 as substring.

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, 884941 + ... + 997780.

It is an arithmetic number, because the mean of its divisors is an integer number (2952108096).

Almost surely, 2106223118820 is an apocalyptic number.

106223118820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106223118820 is an abundant number, since it is smaller than the sum of its proper divisors (177179258396).

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

106223118820 is a wasteful number, since it uses less digits than its factorization.

106223118820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882781 (or 1882779 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 106223118820 in words is "one hundred six billion, two hundred twenty-three million, one hundred eighteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 31 35 52 62 65 70 91 124 130 140 155 182 217 260 310 364 403 434 455 620 806 868 910 1085 1612 1820 2015 2170 2821 4030 4340 5642 8060 11284 14105 28210 56420 1882721 3765442 7530884 9413605 13179047 18827210 24475373 26358094 37654420 48950746 52716188 58364351 65895235 97901492 116728702 122376865 131790470 171327611 233457404 244753730 263580940 291821755 342655222 408550457 489507460 583643510 685310444 758736563 817100914 856638055 1167287020 1517473126 1634201828 1713276110 2042752285 3034946252 3426552220 3793682815 4085504570 5311155941 7587365630 8171009140 10622311882 15174731260 21244623764 26555779705 53111559410 106223118820