Search a number
-
+
2010000212010 = 2325721087419303
BaseRepresentation
bin11101001111111101010…
…110010100000000101010
321010011011101000020220200
4131033331112110000222
5230412440023241020
64135214212133030
7265134451622100
oct35177526240052
97104141006820
102010000212010
117054887a010a
12285675007176
131177082c719b
146d3daa69c70
1537440dcd590
hex1d3fd59402a

2010000212010 has 144 divisors (see below), whose sum is σ = 6084832306176. Its totient is φ = 459004867776.

The previous prime is 2010000212009. The next prime is 2010000212023. The reversal of 2010000212010 is 102120000102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2010000211983 and 2010000212001.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4584019 + ... + 5003321.

It is an arithmetic number, because the mean of its divisors is an integer number (42255779904).

Almost surely, 22010000212010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010000212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042416153088).

2010000212010 is an abundant number, since it is smaller than the sum of its proper divisors (4074832094166).

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

2010000212010 is a wasteful number, since it uses less digits than its factorization.

2010000212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420417 (or 420407 counting only the distinct ones).

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

Adding to 2010000212010 its reverse (102120000102), we get a palindrome (2112120212112).

The spelling of 2010000212010 in words is "two trillion, ten billion, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1087 1470 2174 2205 3261 4410 5435 6522 7609 9783 10870 15218 16305 19566 22827 32610 38045 45654 48915 53263 68481 76090 97830 106526 114135 136962 159789 228270 266315 319578 342405 419303 479367 532630 684810 798945 838606 958734 1257909 1597890 2096515 2396835 2515818 2935121 3773727 4193030 4793670 5870242 6289545 7547454 8805363 12579090 14675605 17610726 18868635 20545847 26416089 29351210 37737270 41091694 44026815 52832178 61637541 88053630 102729235 123275082 132080445 184912623 205458470 264160890 308187705 369825246 455782361 616375410 911564722 924563115 1367347083 1849126230 2278911805 2734694166 3190476527 4102041249 4557823610 6380953054 6836735415 8204082498 9571429581 13673470830 15952382635 19142859162 20510206245 22333335689 28714288743 31904765270 41020412490 44666671378 47857147905 57428577486 67000007067 95714295810 111666678445 134000014134 143571443715 201000021201 223333356890 287142887430 335000035335 402000042402 670000070670 1005000106005 2010000212010