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210010112222120 = 23572347968079887
BaseRepresentation
bin101111110000000011001010…
…001000110110001110101000
31000112120202210210210102022222
4233300003022020312032220
5210011301202212101440
62022353151430333212
762143505233312220
oct5760031210661650
91015522723712288
10210010112222120
1160a08874440531
121b6794497ba208
139024b3a437492
1439c0787b69080
151942ca1b5b2b5
hexbf00ca2363a8

210010112222120 has 128 divisors (see below), whose sum is σ = 564681823027200. Its totient is φ = 68729095792896.

The previous prime is 210010112222117. The next prime is 210010112222123. The reversal of 210010112222120 is 21222211010012.

It is an interprime number because it is at equal distance from previous prime (210010112222117) and next prime (210010112222123).

It is not an unprimeable number, because it can be changed into a prime (210010112222123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30955184 + ... + 37124703.

It is an arithmetic number, because the mean of its divisors is an integer number (4411576742400).

Almost surely, 2210010112222120 is an apocalyptic number.

210010112222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210010112222120 is an abundant number, since it is smaller than the sum of its proper divisors (354671710805080).

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

210010112222120 is a wasteful number, since it uses less digits than its factorization.

210010112222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68080407 (or 68080403 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 210010112222120 its reverse (21222211010012), we get a palindrome (231232323232132).

The spelling of 210010112222120 in words is "two hundred ten trillion, ten billion, one hundred twelve million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 479 644 805 920 958 1288 1610 1916 2395 3220 3353 3832 4790 6440 6706 9580 11017 13412 16765 19160 22034 26824 33530 44068 55085 67060 77119 88136 110170 134120 154238 220340 308476 385595 440680 616952 771190 1542380 3084760 68079887 136159774 272319548 340399435 476559209 544639096 680798870 953118418 1361597740 1565837401 1906236836 2382796045 2723195480 3131674802 3812473672 4765592090 6263349604 7829187005 9531184180 10960861807 12526699208 15658374010 19062368360 21921723614 31316748020 32610265873 43843447228 54804309035 62633496040 65220531746 87686894456 109608618070 130441063492 163051329365 219217236140 228271861111 260882126984 326102658730 438434472280 456543722222 652205317460 750036115079 913087444444 1141359305555 1304410634920 1500072230158 1826174888888 2282718611110 3000144460316 3750180575395 4565437222220 5250252805553 6000288920632 7500361150790 9130874444440 10500505611106 15000722301580 21001011222212 26251264027765 30001444603160 42002022444424 52502528055530 105005056111060 210010112222120