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213222000123030 = 235471932832768657
BaseRepresentation
bin110000011110110010011101…
…100100110101110010010110
31000221221211020210112022120210
4300132302131210311302112
5210421412124012414110
62033252500135110250
762624531635103463
oct6036623544656226
91027854223468523
10213222000123030
1161a36a404242a8
121bab7a28512386
1391c899612c432
143a91ddd90066a
15199b5d8300520
hexc1ec9d935c96

213222000123030 has 128 divisors (see below), whose sum is σ = 527185086916608. Its totient is φ = 55165448650752.

The previous prime is 213222000123001. The next prime is 213222000123137. The reversal of 213222000123030 is 30321000222312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 213222000122988 and 213222000123006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75628462 + ... + 78397118.

It is an arithmetic number, because the mean of its divisors is an integer number (4118633491536).

Almost surely, 2213222000123030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213222000123030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263592543458304).

213222000123030 is an abundant number, since it is smaller than the sum of its proper divisors (313963086793578).

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

213222000123030 is a wasteful number, since it uses less digits than its factorization.

213222000123030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769190.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 213222000123030 its reverse (30321000222312), we get a palindrome (243543000345342).

The spelling of 213222000123030 in words is "two hundred thirteen trillion, two hundred twenty-two billion, one hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 193 235 282 283 386 470 566 579 705 849 965 1158 1410 1415 1698 1930 2830 2895 4245 5790 8490 9071 13301 18142 26602 27213 39903 45355 54426 54619 66505 79806 90710 109238 133010 136065 163857 199515 272130 273095 327714 399030 546190 819285 1638570 2567093 2768657 5134186 5537314 7701279 8305971 12835465 13843285 15402558 16611942 25670930 27686570 38506395 41529855 77012790 83059710 130126879 260253758 390380637 534350801 650634395 780761274 783529931 1068701602 1301268790 1567059862 1603052403 1951903185 2350589793 2671754005 3206104806 3903806370 3917649655 4701179586 5343508010 7835299310 8015262015 11752948965 16030524030 23505897930 25114487647 36825906757 50228975294 73651813514 75343462941 110477720271 125572438235 150686925882 151221276683 184129533785 220955440542 251144876470 302442553366 368259067570 376717314705 453663830049 552388601355 753434629410 756106383415 907327660098 1104777202710 1512212766830 2268319150245 4536638300490 7107400004101 14214800008202 21322200012303 35537000020505 42644400024606 71074000041010 106611000061515 213222000123030