Search a number
-
+
1122102112002 = 233491850328961
BaseRepresentation
bin10000010101000010011…
…111110110111100000010
310222021100020002101112120
4100111002133312330002
5121341031120041002
62215253034305110
7144032510402604
oct20250237667402
93867306071476
101122102112002
113a2976430963
12161579888196
1381a76b30161
143c44aa29174
151e2c604ecbc
hex105427f6f02

1122102112002 has 32 divisors (see below), whose sum is σ = 2250833961600. Its totient is φ = 372929272320.

The previous prime is 1122102111997. The next prime is 1122102112009. The reversal of 1122102112002 is 2002112012211.

It is a super-2 number, since 2×11221021120022 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1122102112009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38730802 + ... + 38759762.

It is an arithmetic number, because the mean of its divisors is an integer number (70338561300).

Almost surely, 21122102112002 is an apocalyptic number.

1122102112002 is an abundant number, since it is smaller than the sum of its proper divisors (1128731849598).

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

1122102112002 is a wasteful number, since it uses less digits than its factorization.

1122102112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47818.

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

Adding to 1122102112002 its reverse (2002112012211), we get a palindrome (3124214124213).

The spelling of 1122102112002 in words is "one trillion, one hundred twenty-two billion, one hundred two million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 349 698 1047 2094 18503 28961 37006 55509 57922 86883 111018 173766 6457547 10107389 12915094 19372641 20214778 30322167 38745282 60644334 535865383 1071730766 1607596149 3215192298 187017018667 374034037334 561051056001 1122102112002