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2130303001122 = 23223101149341927
BaseRepresentation
bin11110111111111111111…
…101000010001000100010
321112122200110221010222200
4132333333331002020202
5234400330032013442
64310351522314030
7306623615511432
oct36777775021042
97478613833880
102130303001122
1175150256416a
122a4a4a1b8916
13125b6b1479ba
14751702b02c2
153a63274434c
hex1effff42222

2130303001122 has 96 divisors (see below), whose sum is σ = 4896682502400. Its totient is φ = 667986633600.

The previous prime is 2130303001033. The next prime is 2130303001129. The reversal of 2130303001122 is 2211003030312.

2130303001122 is a `hidden beast` number, since 213 + 0 + 30 + 300 + 1 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2130303001095 and 2130303001104.

It is not an unprimeable number, because it can be changed into a prime (2130303001129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6059323 + ... + 6401249.

It is an arithmetic number, because the mean of its divisors is an integer number (51007109400).

Almost surely, 22130303001122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130303001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448341251200).

2130303001122 is an abundant number, since it is smaller than the sum of its proper divisors (2766379501278).

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

2130303001122 is a wasteful number, since it uses less digits than its factorization.

2130303001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342208 (or 342205 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2130303001122 its reverse (2211003030312), we get a palindrome (4341306031434).

The spelling of 2130303001122 in words is "two trillion, one hundred thirty billion, three hundred three million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 101 138 149 202 207 298 303 414 447 606 894 909 1341 1818 2323 2682 3427 4646 6854 6969 10281 13938 15049 20562 20907 30098 30843 41814 45147 61686 90294 135441 270882 341927 346127 683854 692254 1025781 1038381 2051562 2076762 3077343 3115143 6154686 6230286 7864321 15728642 23592963 34534627 47185926 50947123 69069254 70778889 101894246 103603881 141557778 152841369 207207762 305682738 310811643 458524107 621623286 794296421 917048214 1171783829 1588592842 2343567658 2382889263 3515351487 4765778526 5145659423 7030702974 7148667789 10291318846 10546054461 14297335578 15436978269 21092108922 30873956538 46310934807 92621869614 118350166729 236700333458 355050500187 710101000374 1065151500561 2130303001122