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212213301330120 = 233517117188835293
BaseRepresentation
bin110000010000000111000010…
…011100010100000011001000
31000211101101121211210102112120
4300100013002130110003020
5210303400320120030440
62031201240023211240
762461622302611246
oct6020070234240310
91024341554712476
10212213301330120
1161688179236562
121b9744392a6b20
13915482291496c
143a5927008b796
15198024d058dd0
hexc101c27140c8

212213301330120 has 128 divisors (see below), whose sum is σ = 674664970400640. Its totient is φ = 53215893319680.

The previous prime is 212213301330119. The next prime is 212213301330161. The reversal of 212213301330120 is 21033103312212.

It is a super-2 number, since 2×2122133013301202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 42028807 + ... + 46806486.

It is an arithmetic number, because the mean of its divisors is an integer number (5270820081255).

Almost surely, 2212213301330120 is an apocalyptic number.

212213301330120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212213301330120 is an abundant number, since it is smaller than the sum of its proper divisors (462451669070520).

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

212213301330120 is a wasteful number, since it uses less digits than its factorization.

212213301330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88836495 (or 88836491 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 212213301330120 its reverse (21033103312212), we get a palindrome (233246404642332).

The spelling of 212213301330120 in words is "two hundred twelve trillion, two hundred thirteen billion, three hundred one million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 1171 2040 2342 3513 4684 5855 7026 9368 11710 14052 17565 19907 23420 28104 35130 39814 46840 59721 70260 79628 99535 119442 140520 159256 199070 238884 298605 398140 477768 597210 796280 1194420 2388840 88835293 177670586 266505879 355341172 444176465 533011758 710682344 888352930 1066023516 1332529395 1510199981 1776705860 2132047032 2665058790 3020399962 3553411720 4530599943 5330117580 6040799924 7550999905 9061199886 10660235160 12081599848 15101999810 18122399772 22652999715 30203999620 36244799544 45305999430 60407999240 90611998860 104026128103 181223997720 208052256206 312078384309 416104512412 520130640515 624156768618 832209024824 1040261281030 1248313537236 1560391921545 1768444177751 2080522562060 2496627074472 3120783843090 3536888355502 4161045124120 5305332533253 6241567686180 7073776711004 8842220888755 10610665066506 12483135372360 14147553422008 17684441777510 21221330133012 26526662666265 35368883555020 42442660266024 53053325332530 70737767110040 106106650665060 212213301330120