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212230020130002 = 233713125491681411
BaseRepresentation
bin110000010000010110100110…
…111101011110010011010010
31000211102222210000011110102000
4300100112212331132103102
5210304134040123130002
62031213043021134430
762463053513223120
oct6020264675362322
91024388700143360
10212230020130002
11616942785a1346
121b9777243ba416
139156288590364
143a59db868c910
1519808cabd761c
hexc105a6f5e4d2

212230020130002 has 128 divisors (see below), whose sum is σ = 543324748032000. Its totient is φ = 60150626827200.

The previous prime is 212230020129943. The next prime is 212230020130019. The reversal of 212230020130002 is 200031020032212.

212230020130002 is a `hidden beast` number, since 21 + 22 + 300 + 20 + 1 + 300 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125380677 + ... + 127062087.

It is an arithmetic number, because the mean of its divisors is an integer number (4244724594000).

Almost surely, 2212230020130002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212230020130002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271662374016000).

212230020130002 is an abundant number, since it is smaller than the sum of its proper divisors (331094727901998).

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

212230020130002 is a wasteful number, since it uses less digits than its factorization.

212230020130002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684109 (or 1684103 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212230020130002 its reverse (200031020032212), we get a palindrome (412261040162214).

The spelling of 212230020130002 in words is "two hundred twelve trillion, two hundred thirty billion, twenty million, one hundred thirty thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 131 189 262 378 393 786 917 1179 1834 2358 2549 2751 3537 5098 5502 7074 7647 8253 15294 16506 17843 22941 24759 35686 45882 49518 53529 68823 107058 137646 160587 321174 333919 481761 667838 963522 1001757 1681411 2003514 2337433 3005271 3362822 4674866 5044233 6010542 7012299 9015813 10088466 11769877 14024598 15132699 18031626 21036897 23539754 30265398 35309631 42073794 45398097 63110691 70619262 90796194 105928893 126221382 211857786 220264841 317786679 440529682 635573358 660794523 1321589046 1541853887 1982383569 3083707774 3964767138 4285916639 4625561661 5947150707 8571833278 9251123322 11894301414 12857749917 13876684983 25715499834 27753369966 30001416473 38573249751 41630054949 60002832946 77146499502 83260109898 90004249419 115719749253 180008498838 231439498506 270012748257 540025496514 561455079709 810038244771 1122910159418 1620076489542 1684365239127 3368730478254 3930185557963 5053095717381 7860371115926 10106191434762 11790556673889 15159287152143 23581113347778 30318574304286 35371670021667 70743340043334 106115010065001 212230020130002