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2010012102 = 2327171098609
BaseRepresentation
bin111011111001110…
…0101100111000110
312012002012012020200
41313303211213012
513104030341402
6531241311330
7100544551410
oct16763454706
95162165220
102010012102
1194166592a
12481195546
13260571597
14150d439b0
15bb6de21c
hex77ce59c6

2010012102 has 96 divisors (see below), whose sum is σ = 5318913600. Its totient is φ = 535486464.

The previous prime is 2010012083. The next prime is 2010012139. The reversal of 2010012102 is 2012100102.

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

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, 229174 + ... + 237782.

It is an arithmetic number, because the mean of its divisors is an integer number (55405350).

Almost surely, 22010012102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010012102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659456800).

2010012102 is an abundant number, since it is smaller than the sum of its proper divisors (3308901498).

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

2010012102 is a wasteful number, since it uses less digits than its factorization.

2010012102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8750 (or 8747 counting only the distinct ones).

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

The square root of 2010012102 is about 44833.1585101920. The cubic root of 2010012102 is about 1262.0199610399.

Adding to 2010012102 its reverse (2012100102), we get a palindrome (4022112204).

The spelling of 2010012102 in words is "two billion, ten million, twelve thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 109 119 126 153 218 238 306 327 357 654 714 763 981 1071 1526 1853 1962 2142 2289 3706 4578 5559 6867 8609 11118 12971 13734 16677 17218 25827 25942 33354 38913 51654 60263 77481 77826 116739 120526 146353 154962 180789 233478 292706 361578 439059 542367 878118 938381 1024471 1084734 1317177 1876762 2048942 2634354 2815143 3073413 5630286 6146826 6568667 8445429 9220239 13137334 15952477 16890858 18440478 19706001 31904954 39412002 47857431 59118003 95714862 111667339 118236006 143572293 223334678 287144586 335002017 670004034 1005006051 2010012102