Search a number
-
+
122116233514110 = 235112447412736643
BaseRepresentation
bin11011110001000001100110…
…101110000100110001111110
3121000101012100021111012002120
4123301001212232010301332
5112001223021234422420
61111415231225303410
734502415051231213
oct3361014656046176
9530335307435076
10122116233514110
1135a01227289560
1211842b3b634b66
13531a685746614
142222658939b0a
15e1b7cbadcd40
hex6f1066b84c7e

122116233514110 has 128 divisors (see below), whose sum is σ = 319939394863104. Its totient is φ = 29583859666560.

The previous prime is 122116233514087. The next prime is 122116233514127. The reversal of 122116233514110 is 11415332611221.

122116233514110 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3332575449 + ... + 3332612091.

It is an arithmetic number, because the mean of its divisors is an integer number (2499526522368).

Almost surely, 2122116233514110 is an apocalyptic number.

122116233514110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122116233514110 is an abundant number, since it is smaller than the sum of its proper divisors (197823161348994).

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

122116233514110 is a wasteful number, since it uses less digits than its factorization.

122116233514110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43238.

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 122116233514110 in words is "one hundred twenty-two trillion, one hundred sixteen billion, two hundred thirty-three million, five hundred fourteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 2447 4127 4894 7341 8254 12235 12381 14682 20635 24470 24762 26917 36643 36705 41270 45397 53834 61905 73286 73410 80751 90794 109929 123810 134585 136191 161502 183215 219858 226985 269170 272382 366430 403073 403755 453970 549645 680955 806146 807510 1099290 1209219 1361910 2015365 2418438 4030730 6046095 10098769 12092190 20197538 30296307 50493845 60592614 89665421 100987690 111086459 151225661 151481535 179330842 222172918 268996263 302451322 302963070 333259377 448327105 453676983 537992526 555432295 666518754 756128305 896654210 907353966 986319631 1110864590 1344981315 1512256610 1663482271 1666296885 1972639262 2268384915 2689962630 2958958893 3326964542 3332593770 4536769830 4931598155 4990446813 5917917786 8317411355 9863196310 9980893626 14794794465 16634822710 24952234065 29589588930 49904468130 370049192467 740098384934 1110147577401 1850245962335 2220295154802 3700491924670 4070541117137 5550737887005 8141082234274 11101475774010 12211623351411 20352705585685 24423246702822 40705411171370 61058116757055 122116233514110