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2001102210012 = 2231943340135051
BaseRepresentation
bin11101000111101010111…
…111001000001111011100
321002022012020211220212010
4131013222333020033130
5230241224131210022
64131143233111220
7264401115064233
oct35075277101734
97068166756763
102001102210012
11701732035554
122839b10b8510
1311691aa09c49
146cbd5005b1a
15370beb4d50c
hex1d1eafc83dc

2001102210012 has 96 divisors (see below), whose sum is σ = 4928542053120. Its totient is φ = 630185702400.

The previous prime is 2001102210011. The next prime is 2001102210059. The reversal of 2001102210012 is 2100122011002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2001102210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001102210011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396176887 + ... + 396181937.

It is an arithmetic number, because the mean of its divisors is an integer number (51338979720).

Almost surely, 22001102210012 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 2001102210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464271026560).

2001102210012 is an abundant number, since it is smaller than the sum of its proper divisors (2927439843108).

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

2001102210012 is a wasteful number, since it uses less digits than its factorization.

2001102210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9523 (or 9521 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2001102210012 its reverse (2100122011002), we get a palindrome (4101224221014).

The spelling of 2001102210012 in words is "two trillion, one billion, one hundred two million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 433 866 1299 1732 2598 4013 5051 5196 8026 8227 10102 12039 15153 16052 16454 20204 24078 24681 30306 32908 48156 49362 60612 76247 95969 98724 152494 191938 228741 287907 304988 383876 457482 575814 914964 1151628 1737629 2187083 3475258 4374166 5212887 6561249 6950516 8748332 10425774 13122498 20269663 20851548 26244996 33014951 40539326 41554577 60808989 66029902 81078652 83109154 99044853 121617978 124663731 132059804 166218308 198089706 243235956 249327462 385123597 396179412 498654924 770247194 1155370791 1540494388 2310741582 4621483164 8776764079 17553528158 26330292237 35107056316 52660584474 105321168948 166758517501 333517035002 500275552503 667034070004 1000551105006 2001102210012