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2010111012 = 2233713215733
BaseRepresentation
bin111011111001111…
…1101110000100100
312012002101012221000
41313303331300210
513104042023022
6531243353300
7100545442650
oct16763756044
95162335830
102010111012
11941723178
12481222830
132605a7600
14150d6ba60
15bb70d6ac
hex77cfdc24

2010111012 has 144 divisors (see below), whose sum is σ = 6449681280. Its totient is φ = 530105472.

The previous prime is 2010111007. The next prime is 2010111041. The reversal of 2010111012 is 2101110102.

It is a happy number.

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 = 2010110985 and 2010111003.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 119898 + ... + 135630.

Almost surely, 22010111012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224840640).

2010111012 is an abundant number, since it is smaller than the sum of its proper divisors (4439570268).

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

2010111012 is a wasteful number, since it uses less digits than its factorization.

2010111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15779 (or 15758 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2010111012 is about 44834.2615864252. The cubic root of 2010111012 is about 1262.0406614703.

Adding to 2010111012 its reverse (2101110102), we get a palindrome (4111221114).

It can be divided in two parts, 20101 and 11012, that added together give a palindrome (31113).

The spelling of 2010111012 in words is "two billion, ten million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 169 182 189 234 252 273 338 351 364 378 468 507 546 676 702 756 819 1014 1092 1183 1404 1521 1638 2028 2366 2457 3042 3276 3549 4563 4732 4914 6084 7098 9126 9828 10647 14196 15733 18252 21294 31466 31941 42588 47199 62932 63882 94398 110131 127764 141597 188796 204529 220262 283194 330393 409058 424791 440524 566388 613587 660786 818116 849582 991179 1227174 1321572 1431703 1699164 1840761 1982358 2454348 2658877 2863406 2973537 3681522 3964716 4295109 5317754 5522283 5726812 5947074 7363044 7976631 8590218 10635508 11044566 11894148 12885327 15953262 17180436 18612139 22089132 23929893 25770654 31906524 37224278 38655981 47859786 51541308 55836417 71789679 74448556 77311962 95719572 111672834 143579358 154623924 167509251 223345668 287158716 335018502 502527753 670037004 1005055506 2010111012