Search a number
-
+
201010000122 = 23237301816817
BaseRepresentation
bin1011101100110100100…
…0010011000011111010
3201012211201210000012100
42323031020103003322
511243132030000442
6232202005524230
720344133544531
oct2731510230372
9635751700170
10201010000122
117827a9a5248
1232b59a13676
1315c5564ac99
149a2c2b3318
155366e7d84c
hex2ecd2130fa

201010000122 has 24 divisors (see below), whose sum is σ = 447292524276. Its totient is φ = 65192432256.

The previous prime is 201010000073. The next prime is 201010000123. The reversal of 201010000122 is 221000010102.

201010000122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 168839631801 + 32170368321 = 410901^2 + 179361^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (201010000123) 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 11 ways as a sum of consecutive naturals, for example, 150907743 + ... + 150909074.

Almost surely, 2201010000122 is an apocalyptic number.

201010000122 is an abundant number, since it is smaller than the sum of its proper divisors (246282524154).

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

201010000122 is a wasteful number, since it uses less digits than its factorization.

201010000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301816862 (or 301816859 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201010000122 its reverse (221000010102), we get a palindrome (422010010224).

The spelling of 201010000122 in words is "two hundred one billion, ten million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 301816817 603633634 905450451 1810900902 2716351353 5432702706 11167222229 22334444458 33501666687 67003333374 100505000061 201010000122