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213312444104130 = 235722335912688129
BaseRepresentation
bin110000100000000110101100…
…011101001111110111000010
31000222021110200222211121021120
4300200012230131033313002
5210424402341142313010
62033402214535333110
762634213135210540
oct6040065435176702
91028243628747246
10213312444104130
1161a7133271aa18
121bb11469b21196
13920437ac21907
143a9653d770d90
15199db2d62be70
hexc201ac74fdc2

213312444104130 has 128 divisors (see below), whose sum is σ = 589346382643200. Its totient is φ = 48403279724544.

The previous prime is 213312444104119. The next prime is 213312444104143. The reversal of 213312444104130 is 31401444213312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 213312444104091 and 213312444104100.

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, 10467906 + ... + 23156034.

It is an arithmetic number, because the mean of its divisors is an integer number (4604268614400).

Almost surely, 2213312444104130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213312444104130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294673191321600).

213312444104130 is an abundant number, since it is smaller than the sum of its proper divisors (376033938539070).

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

213312444104130 is a wasteful number, since it uses less digits than its factorization.

213312444104130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12688728.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 213312444104130 its reverse (31401444213312), we get a palindrome (244713888317442).

The spelling of 213312444104130 in words is "two hundred thirteen trillion, three hundred twelve billion, four hundred forty-four million, one hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 223 359 446 669 718 1077 1115 1338 1561 1795 2154 2230 2513 3122 3345 3590 4683 5026 5385 6690 7539 7805 9366 10770 12565 15078 15610 23415 25130 37695 46830 75390 80057 160114 240171 400285 480342 560399 800570 1120798 1200855 1681197 2401710 2801995 3362394 5603990 8405985 12688129 16811970 25376258 38064387 63440645 76128774 88816903 126881290 177633806 190321935 266450709 380643870 444084515 532901418 888169030 1332253545 2664507090 2829452767 4555038311 5658905534 8488358301 9110076622 13665114933 14147263835 16976716602 19806169369 22775191555 27330229866 28294527670 31885268177 39612338738 42441791505 45550383110 59418508107 63770536354 68325574665 84883583010 95655804531 99030846845 118837016214 136651149330 159426340885 191311609062 198061693690 297092540535 318852681770 478279022655 594185081070 956558045310 1015773543353 2031547086706 3047320630059 5078867716765 6094641260118 7110414803471 10157735433530 14220829606942 15236603150295 21331244410413 30473206300590 35552074017355 42662488820826 71104148034710 106656222052065 213312444104130