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2013243414210 = 232572858153201
BaseRepresentation
bin11101010010111110101…
…010001001011011000010
321010110112101122222221200
4131102332222021123002
5230441110303223320
64140512105202030
7265311022445100
oct35227652113302
97113471588850
102013243414210
117068a2470a06
1228621b190316
13117b041b0c42
146d62769cc70
15375809b2290
hex1d4bea896c2

2013243414210 has 144 divisors (see below), whose sum is σ = 6089858224632. Its totient is φ = 460107648000.

The previous prime is 2013243414199. The next prime is 2013243414227. The reversal of 2013243414210 is 124143423102.

2013243414210 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 2 + 434 + 14 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1184085656649 + 829157757561 = 1088157^2 + 910581^2 .

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, 37815610 + ... + 37868810.

Almost surely, 22013243414210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013243414210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044929112316).

2013243414210 is an abundant number, since it is smaller than the sum of its proper divisors (4076614810422).

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

2013243414210 is a wasteful number, since it uses less digits than its factorization.

2013243414210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61809 (or 61799 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2013243414210 its reverse (124143423102), we get a palindrome (2137386837312).

The spelling of 2013243414210 in words is "two trillion, thirteen billion, two hundred forty-three million, four hundred fourteen thousand, two hundred 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 1470 2205 4410 8581 17162 25743 42905 51486 53201 60067 77229 85810 106402 120134 128715 154458 159603 180201 257430 266005 300335 319206 360402 372407 386145 420469 478809 532010 540603 600670 744814 772290 798015 840938 901005 957618 1081206 1117221 1261407 1596030 1802010 1862035 2102345 2234442 2394045 2522814 2606849 2703015 3351663 3724070 3784221 4204690 4788090 5213698 5406030 5586105 6307035 6703326 7568442 7820547 11172210 12614070 13034245 15641094 16758315 18921105 23461641 26068490 33516630 37842210 39102735 46923282 78205470 117308205 234616410 456517781 913035562 1369553343 2282588905 2739106686 3195624467 4108660029 4565177810 6391248934 6847766715 8217320058 9586873401 13695533430 15978122335 19173746802 20543300145 22369371269 28760620203 31956244670 41086600290 44738742538 47934367005 57521240406 67108113807 95868734010 111846856345 134216227614 143803101015 201324341421 223693712690 287606202030 335540569035 402648682842 671081138070 1006621707105 2013243414210