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200010000212010 = 233531107223327639
BaseRepresentation
bin101101011110100001110101…
…000000111010000000101010
3222020011202202210210110112000
4231132201311000322000222
5202203430440023241020
61545215154200431430
760062150154601542
oct5536416500720052
9866152683713460
10200010000212010
115880284596267a
121a523340478576
13877ab290219b1
14375676dc00322
15181cabbe90090
hexb5e87503a02a

200010000212010 has 128 divisors (see below), whose sum is σ = 555710633164800. Its totient is φ = 51133095996480.

The previous prime is 200010000211949. The next prime is 200010000212021. The reversal of 200010000212010 is 10212000010002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 200010000211983 and 200010000212001.

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, 110768230 + ... + 112559409.

It is an arithmetic number, because the mean of its divisors is an integer number (4341489321600).

Almost surely, 2200010000212010 is an apocalyptic number.

200010000212010 is an abundant number, since it is smaller than the sum of its proper divisors (355700632952790).

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

200010000212010 is a wasteful number, since it uses less digits than its factorization.

200010000212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223327793 (or 223327787 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200010000212010 its reverse (10212000010002), we get a palindrome (210222000222012).

The spelling of 200010000212010 in words is "two hundred trillion, ten billion, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 107 135 155 186 214 270 279 310 321 465 535 558 642 837 930 963 1070 1395 1605 1674 1926 2790 2889 3210 3317 4185 4815 5778 6634 8370 9630 9951 14445 16585 19902 28890 29853 33170 49755 59706 89559 99510 149265 179118 298530 447795 895590 223327639 446655278 669982917 1116638195 1339965834 2009948751 2233276390 3349914585 4019897502 6029846253 6699829170 6923156809 10049743755 12059692506 13846313618 20099487510 20769470427 23896057373 30149231265 34615784045 41538940854 47792114746 60298462530 62308411281 69231568090 71688172119 103847352135 119480286865 124616822562 143376344238 186925233843 207694704270 215064516357 238960573730 311542056405 358440860595 373850467686 430129032714 623084112810 645193549071 716881721190 740777778563 934626169215 1075322581785 1290387098142 1481555557126 1869252338430 2150645163570 2222333335689 3225967745355 3703888892815 4444666671378 6451935490710 6667000007067 7407777785630 11111666678445 13334000014134 20001000021201 22223333356890 33335000035335 40002000042402 66670000070670 100005000106005 200010000212010