Search a number
-
+
2012212101102 = 2371910957740093
BaseRepresentation
bin11101010010000001001…
…011111111111111101110
321010100212112001212022220
4131102001023333333232
5230432002244213402
64140221504420210
7265243330436250
oct35220113777756
97110775055286
102012212101102
11706413300125
12285b91917666
1311799b62c1b8
146d56a71dcd0
1537520197dbc
hex1d4812fffee

2012212101102 has 128 divisors (see below), whose sum is σ = 4894418918400. Its totient is φ = 538713317376.

The previous prime is 2012212101071. The next prime is 2012212101169. The reversal of 2012212101102 is 2011012122102.

It is a super-2 number, since 2×20122121011022 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50168568 + ... + 50208660.

It is an arithmetic number, because the mean of its divisors is an integer number (38237647800).

Almost surely, 22012212101102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012212101102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447209459200).

2012212101102 is an abundant number, since it is smaller than the sum of its proper divisors (2882206817298).

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

2012212101102 is a wasteful number, since it uses less digits than its factorization.

2012212101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40810.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2012212101102 its reverse (2011012122102), we get a palindrome (4023224223204).

The spelling of 2012212101102 in words is "two trillion, twelve billion, two hundred twelve million, one hundred one thousand, one hundred two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 109 114 133 218 266 327 399 577 654 763 798 1154 1526 1731 2071 2289 3462 4039 4142 4578 6213 8078 10963 12117 12426 14497 21926 24234 28994 32889 40093 43491 62893 65778 76741 80186 86982 120279 125786 153482 188679 230223 240558 280651 377358 440251 460446 561302 761767 841953 880502 1194967 1320753 1523534 1683906 2285301 2389934 2641506 3584901 4370137 4570602 5332369 7169802 8364769 8740274 10664738 13110411 15997107 16729538 23133661 25094307 26220822 30590959 31994214 46267322 50188614 61181918 69400983 83032603 91772877 138801966 161935627 166065206 183545754 249097809 323871254 439539559 485806881 498195618 581228221 879079118 971613762 1162456442 1318618677 1743684663 2521569049 2637237354 3076776913 3487369326 5043138098 6153553826 7564707147 9230330739 15129414294 17650983343 18460661478 35301966686 47909811931 52952950029 95819623862 105905900058 143729435793 287458871586 335368683517 670737367034 1006106050551 2012212101102