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213102222000 = 24353231544219
BaseRepresentation
bin1100011001110111100…
…0011101101010110000
3202101001110102112011220
43012131320131222300
511442413132101000
6241521532105040
721252604666653
oct3063570355260
9671043375156
10213102222000
1182415715548
1235373605180
1317131931b65
14a45825989a
1558238691a0
hex319de1dab0

213102222000 has 160 divisors (see below), whose sum is σ = 716913400320. Its totient is φ = 54356473600.

The previous prime is 213102221987. The next prime is 213102222019. The reversal of 213102222000 is 222201312.

It is a happy number.

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

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, 634110 + ... + 910109.

It is an arithmetic number, because the mean of its divisors is an integer number (4480708752).

Almost surely, 2213102222000 is an apocalyptic number.

213102222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213102222000 is an abundant number, since it is smaller than the sum of its proper divisors (503811178320).

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

213102222000 is a wasteful number, since it uses less digits than its factorization.

213102222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544268 (or 1544252 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 213102222000 its reverse (222201312), we get a palindrome (213324423312).

The spelling of 213102222000 in words is "two hundred thirteen billion, one hundred two million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 125 138 150 184 200 230 240 250 276 300 345 368 375 400 460 500 552 575 600 690 750 920 1000 1104 1150 1200 1380 1500 1725 1840 2000 2300 2760 2875 3000 3450 4600 5520 5750 6000 6900 8625 9200 11500 13800 17250 23000 27600 34500 46000 69000 138000 1544219 3088438 4632657 6176876 7721095 9265314 12353752 15442190 18530628 23163285 24707504 30884380 35517037 37061256 38605475 46326570 61768760 71034074 74122512 77210950 92653140 106551111 115816425 123537520 142068148 154421900 177585185 185306280 193027375 213102222 231632850 284136296 308843800 355170370 370612560 386054750 426204444 463265700 532755555 568272592 579082125 617687600 710340740 772109500 852408888 887925925 926531400 1065511110 1158164250 1420681480 1544219000 1704817776 1775851850 1853062800 2131022220 2316328500 2663777775 2841362960 3088438000 3551703700 4262044440 4439629625 4632657000 5327555550 7103407400 8524088880 8879259250 9265314000 10655111100 13318888875 14206814800 17758518500 21310222200 26637777750 35517037000 42620444400 53275555500 71034074000 106551111000 213102222000