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2013121031310 = 2325194327378227
BaseRepresentation
bin11101010010110111010…
…111010010110010001110
321010110012212101022011200
4131102313113102302032
5230440332441000220
64140452014130330
7265305005300454
oct35226727226216
97113185338150
102013121031310
1170683a381914
122861a61b09a6
13117ab4a3151c
146d6153229d4
1537574d8a890
hex1d4b75d2c8e

2013121031310 has 96 divisors (see below), whose sum is σ = 5637724709760. Its totient is φ = 496750532544.

The previous prime is 2013121031297. The next prime is 2013121031347. The reversal of 2013121031310 is 131301213102.

2013121031310 is a `hidden beast` number, since 2 + 0 + 1 + 312 + 10 + 31 + 310 = 666.

It is a super-2 number, since 2×20131210313102 (a number of 25 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 13615584 + ... + 13762643.

It is an arithmetic number, because the mean of its divisors is an integer number (58726299060).

Almost surely, 22013121031310 is an apocalyptic number.

2013121031310 is an abundant number, since it is smaller than the sum of its proper divisors (3624603678450).

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

2013121031310 is a wasteful number, since it uses less digits than its factorization.

2013121031310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27378302 (or 27378299 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2013121031310 its reverse (131301213102), we get a palindrome (2144422244412).

The spelling of 2013121031310 in words is "two trillion, thirteen billion, one hundred twenty-one million, thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 43 45 57 86 90 95 114 129 171 190 215 258 285 342 387 430 570 645 774 817 855 1290 1634 1710 1935 2451 3870 4085 4902 7353 8170 12255 14706 24510 36765 73530 27378227 54756454 82134681 136891135 164269362 246404043 273782270 410673405 492808086 520186313 821346810 1040372626 1177263761 1232020215 1560558939 2354527522 2464040430 2600931565 3121117878 3531791283 4681676817 5201863130 5886318805 7063582566 7802794695 9363353634 10595373849 11772637610 15605589390 17658956415 21190747698 22368011459 23408384085 35317912830 44736022918 46816768170 52976869245 67104034377 105953738490 111840057295 134208068754 201312103131 223680114590 335520171885 402624206262 671040343770 1006560515655 2013121031310