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212210101122000 = 24353193911823957
BaseRepresentation
bin110000010000000100000011…
…101100011111001111010000
31000211101002100211001000021220
4300100010003230133033100
5210303322241341401000
62031155550303445040
762461450063363362
oct6020040354371720
91024332324030256
10212210101122000
1161686886860863
121b9738a55b6780
1391544329024a7
143a5904904ad32
1519801121191a0
hexc10103b1f3d0

212210101122000 has 160 divisors (see below), whose sum is σ = 684201023760384. Its totient is φ = 56586410944000.

The previous prime is 212210101121999. The next prime is 212210101122011. The reversal of 212210101122000 is 221101012212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115434022 + ... + 117257978.

Almost surely, 2212210101122000 is an apocalyptic number.

212210101122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210101122000 is an abundant number, since it is smaller than the sum of its proper divisors (471990922638384).

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

212210101122000 is a wasteful number, since it uses less digits than its factorization.

212210101122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843374 (or 1843358 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212210101122000 its reverse (221101012212), we get a palindrome (212431202134212).

The spelling of 212210101122000 in words is "two hundred twelve trillion, two hundred ten billion, one hundred one million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 19391 38782 58173 77564 96955 116346 155128 193910 232692 290865 310256 387820 465384 484775 581730 775640 930768 969550 1163460 1454325 1551280 1823957 1939100 2326920 2423875 2908650 3647914 3878200 4653840 4847750 5471871 5817300 7271625 7295828 7756400 9119785 9695500 10943742 11634600 14543250 14591656 18239570 19391000 21887484 23269200 27359355 29086500 29183312 36479140 38782000 43774968 45598925 54718710 58173000 72958280 87549936 91197850 109437420 116346000 136796775 145916560 182395700 218874840 227994625 273593550 364791400 437749680 455989250 547187100 683983875 729582800 911978500 1094374200 1367967750 1823957000 2188748400 2735935500 3647914000 5471871000 10943742000 35368350187 70736700374 106105050561 141473400748 176841750935 212210101122 282946801496 353683501870 424420202244 530525252805 565893602992 707367003740 848840404488 884208754675 1061050505610 1414734007480 1697680808976 1768417509350 2122101011220 2652626264025 2829468014960 3536835018700 4244202022440 4421043773375 5305252528050 7073670037400 8488404044880 8842087546750 10610505056100 13263131320125 14147340074800 17684175093500 21221010112200 26526262640250 35368350187000 42442020224400 53052525280500 70736700374000 106105050561000 212210101122000