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220120133123220 = 2235111917553439643
BaseRepresentation
bin110010000011001010110110…
…010101111011110010010100
31001212101021112112202112110020
4302003022312111323302110
5212322422013034420340
62100053443153225140
764236104046131241
oct6203126625736224
91055337475675406
10220120133123220
116415647369a9a0
122083090b2621b0
1395a93161ca1c5
143c4dc2ab5c5c8
151a6ac6a9249d0
hexc832b657bc94

220120133123220 has 96 divisors (see below), whose sum is σ = 707754686446080. Its totient is φ = 50553906168960.

The previous prime is 220120133123213. The next prime is 220120133123309. The reversal of 220120133123220 is 22321331021022.

220120133123220 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 8776707282 + ... + 8776732361.

It is an arithmetic number, because the mean of its divisors is an integer number (7372444650480).

Almost surely, 2220120133123220 is an apocalyptic number.

220120133123220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220120133123220 is an abundant number, since it is smaller than the sum of its proper divisors (487634553322860).

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

220120133123220 is a wasteful number, since it uses less digits than its factorization.

220120133123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17553439685 (or 17553439683 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 220120133123220 its reverse (22321331021022), we get a palindrome (242441464144242).

The spelling of 220120133123220 in words is "two hundred twenty trillion, one hundred twenty billion, one hundred thirty-three million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 12540 17553439643 35106879286 52660318929 70213758572 87767198215 105320637858 175534396430 193087836073 210641275716 263301594645 333515353217 351068792860 386175672146 526603189290 579263508219 667030706434 772351344292 965439180365 1000546059651 1053206378580 1158527016438 1334061412868 1667576766085 1930878360730 2001092119302 2317054032876 2896317541095 3335153532170 3668668885387 3861756721460 4002184238604 5002730298255 5792635082190 6670307064340 7337337770774 10005460596510 11006006656161 11585270164380 14674675541548 18343344426935 20010921193020 22012013312322 36686688853870 44024026624644 55030033280805 73373377707740 110060066561610 220120133123220