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212310011021200 = 24522329795764659
BaseRepresentation
bin110000010001100001000110…
…110010100000011110010000
31000211201122020201010202110221
4300101201012302200132100
5210311441400310134300
62031313512251402424
762501614664456341
oct6021410662403620
91024648221122427
10212310011021200
1161715196346894
121b98b129153414
139160995856141
143a5dc061360c8
151982a0d4a731a
hexc11846ca0790

212310011021200 has 120 divisors (see below), whose sum is σ = 550605483547200. Its totient is φ = 78430564692480.

The previous prime is 212310011021191. The next prime is 212310011021237. The reversal of 212310011021200 is 2120110013212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397615530 + ... + 398149129.

It is an arithmetic number, because the mean of its divisors is an integer number (4588379029560).

Almost surely, 2212310011021200 is an apocalyptic number.

212310011021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212310011021200 is an abundant number, since it is smaller than the sum of its proper divisors (338295472526000).

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

212310011021200 is a wasteful number, since it uses less digits than its factorization.

212310011021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795764729 (or 795764718 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 212310011021200 its reverse (2120110013212), we get a palindrome (214430121034412).

The spelling of 212310011021200 in words is "two hundred twelve trillion, three hundred ten billion, eleven million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 29 40 46 50 58 80 92 100 115 116 145 184 200 230 232 290 368 400 460 464 575 580 667 725 920 1150 1160 1334 1450 1840 2300 2320 2668 2900 3335 4600 5336 5800 6670 9200 10672 11600 13340 16675 26680 33350 53360 66700 133400 266800 795764659 1591529318 3183058636 3978823295 6366117272 7957646590 12732234544 15915293180 18302587157 19894116475 23077175111 31830586360 36605174314 39788232950 46154350222 63661172720 73210348628 79576465900 91512935785 92308700444 115385875555 146420697256 159152931800 183025871570 184617400888 230771751110 292841394512 318305863600 366051743140 369234801776 457564678925 461543502220 530775027553 576929377775 732103486280 915129357850 923087004440 1061550055106 1153858755550 1464206972560 1830258715700 1846174008880 2123100110212 2307717511100 2653875137765 3660517431400 4246200220424 4615435022200 5307750275530 7321034862800 8492400440848 9230870044400 10615500551060 13269375688825 21231001102120 26538751377650 42462002204240 53077502755300 106155005510600 212310011021200