Search a number
-
+
2212002102112 = 251110162218781
BaseRepresentation
bin100000001100000101100…
…110010111101101100000
321211110120020012111100221
4200030011212113231200
5242220140014231422
64412102453452424
7315545321432305
oct40140546275540
97743506174327
102212002102112
11783117579a40
122b884b041114
1313078b2a2aca
14790c09790ac
153c814e8a3c7
hex20305997b60

2212002102112 has 48 divisors (see below), whose sum is σ = 4797814717584. Its totient is φ = 995500480000.

The previous prime is 2212002102091. The next prime is 2212002102113. The reversal of 2212002102112 is 2112012002122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212002102113) 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 7 ways as a sum of consecutive naturals, for example, 31073839 + ... + 31144942.

It is an arithmetic number, because the mean of its divisors is an integer number (99954473283).

Almost surely, 22212002102112 is an apocalyptic number.

2212002102112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2212002102112 is an abundant number, since it is smaller than the sum of its proper divisors (2585812615472).

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

2212002102112 is a wasteful number, since it uses less digits than its factorization.

2212002102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62218903 (or 62218895 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2212002102112 its reverse (2112012002122), we get a palindrome (4324014104234).

The spelling of 2212002102112 in words is "two trillion, two hundred twelve billion, two million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 202 352 404 808 1111 1616 2222 3232 4444 8888 17776 35552 62218781 124437562 248875124 497750248 684406591 995500496 1368813182 1991000992 2737626364 5475252728 6284096881 10950505456 12568193762 21901010912 25136387524 50272775048 69125065691 100545550096 138250131382 201091100192 276500262764 553000525528 1106001051056 2212002102112