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2013142312 = 2317412231619
BaseRepresentation
bin111011111111110…
…0001110100101000
312012022002020002101
41313333201310220
513110331023222
6531432343144
7100613266366
oct16777416450
95168066071
102013142312
11943403685
12482244ab4
132610c928c
1415151a636
15bbb0b927
hex77fe1d28

2013142312 has 64 divisors (see below), whose sum is σ = 4115059200. Its totient is φ = 919541760.

The previous prime is 2013142279. The next prime is 2013142319. The reversal of 2013142312 is 2132413102.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2013142312.

It is not an unprimeable number, because it can be changed into a prime (2013142319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1242639 + ... + 1244257.

It is an arithmetic number, because the mean of its divisors is an integer number (64297800).

Almost surely, 22013142312 is an apocalyptic number.

It is an amenable number.

2013142312 is an abundant number, since it is smaller than the sum of its proper divisors (2101916888).

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

2013142312 is a wasteful number, since it uses less digits than its factorization.

2013142312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2013142312 is about 44868.0544708593. The cubic root of 2013142312 is about 1262.6747396211.

Adding to 2013142312 its reverse (2132413102), we get a palindrome (4145555414).

The spelling of 2013142312 in words is "two billion, thirteen million, one hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 17 34 41 68 82 136 164 223 328 446 697 892 1394 1619 1784 2788 3238 3791 5576 6476 7582 9143 12952 15164 18286 27523 30328 36572 55046 66379 73144 110092 132758 155431 220184 265516 310862 361037 531032 621724 722074 1128443 1243448 1444148 2256886 2888296 4513772 6137629 9027544 12275258 14802517 24550516 29605034 49101032 59210068 118420136 251642789 503285578 1006571156 2013142312