Search a number
-
+
2102001122022 = 2316731733119993
BaseRepresentation
bin11110100101101001000…
…001111011101011100110
321102221122001221201120020
4132211221001323223212
5233414344241401042
64245351311020010
7304602355510404
oct36455101735346
97387561851506
102102001122022
117404a991a53a
1229b46bb0a606
131232aa821a89
1473a475bc474
1539a27c4c3ec
hex1e96907bae6

2102001122022 has 64 divisors (see below), whose sum is σ = 4255547272704. Its totient is φ = 692142232320.

The previous prime is 2102001122021. The next prime is 2102001122027. The reversal of 2102001122022 is 2202211002012.

It is a junction number, because it is equal to n+sod(n) for n = 2102001121992 and 2102001122010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102001122021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105126858 + ... + 105146850.

It is an arithmetic number, because the mean of its divisors is an integer number (66492926136).

Almost surely, 22102001122022 is an apocalyptic number.

2102001122022 is an abundant number, since it is smaller than the sum of its proper divisors (2153546150682).

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

2102001122022 is a wasteful number, since it uses less digits than its factorization.

2102001122022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20813.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2102001122022 its reverse (2202211002012), we get a palindrome (4304212124034).

The spelling of 2102001122022 in words is "two trillion, one hundred two billion, one million, one hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 167 317 331 334 501 634 662 951 993 1002 1902 1986 19993 39986 52939 55277 59979 104927 105878 110554 119958 158817 165831 209854 314781 317634 331662 629562 3338831 6337781 6617683 6677662 10016493 12675562 13235366 17522809 19013343 19853049 20032986 35045618 38026686 39706098 52568427 105136854 1058409427 1105153061 2097805511 2116818854 2210306122 3175228281 3315459183 4195611022 6293416533 6350456562 6630918366 12586833066 350333520337 700667040674 1051000561011 2102001122022