Search a number
-
+
2011304430102 = 231126741349131
BaseRepresentation
bin11101010001001011000…
…101100000101000010110
321010021112021010101210110
4131101023011200220112
5230423122413230402
64135551442103450
7265211666401152
oct35211305405026
97107467111713
102011304430102
11705a97a09500
1228597994ab86
1311788557b076
146d4c1d68062
15374ba65356c
hex1d44b160a16

2011304430102 has 48 divisors (see below), whose sum is σ = 4487538597696. Its totient is φ = 600389367600.

The previous prime is 2011304430101. The next prime is 2011304430103. The reversal of 2011304430102 is 2010344031102.

It is an interprime number because it is at equal distance from previous prime (2011304430101) and next prime (2011304430103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011304430101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20625924 + ... + 20723207.

It is an arithmetic number, because the mean of its divisors is an integer number (93490387452).

Almost surely, 22011304430102 is an apocalyptic number.

2011304430102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2011304430102 is an abundant number, since it is smaller than the sum of its proper divisors (2476234167594).

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

2011304430102 is a wasteful number, since it uses less digits than its factorization.

2011304430102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41349225 (or 41349214 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2011304430102 its reverse (2010344031102), we get a palindrome (4021648461204).

The spelling of 2011304430102 in words is "two trillion, eleven billion, three hundred four million, four hundred thirty thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 67 121 134 201 242 363 402 726 737 1474 2211 4422 8107 16214 24321 48642 41349131 82698262 124047393 248094786 454840441 909680882 1364521323 2729042646 2770391777 5003244851 5540783554 8311175331 10006489702 15009734553 16622350662 30019469106 30474309547 60948619094 91422928641 182845857282 335217405017 670434810034 1005652215051 2011304430102