Search a number
-
+
12102001002 = 232713113151433
BaseRepresentation
bin10110100010101010…
…11110000101101010
31011020102001100102100
423101111132011222
5144241103013002
65320511514230
7605620211520
oct132125360552
934212040370
1012102001002
11515029a523
122418b28976
1311ab329050
1482b3b0310
154ac6bd11c
hex2d155e16a

12102001002 has 192 divisors, whose sum is σ = 32848897536. Its totient is φ = 3135283200.

The previous prime is 12102000949. The next prime is 12102001031. The reversal of 12102001002 is 20010020121.

12102001002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 27948978 + ... + 27949410.

It is an arithmetic number, because the mean of its divisors is an integer number (171088008).

Almost surely, 212102001002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102001002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16424448768).

12102001002 is an abundant number, since it is smaller than the sum of its proper divisors (20746896534).

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

12102001002 is a wasteful number, since it uses less digits than its factorization.

12102001002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 722 counting only the distinct ones).

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

Adding to 12102001002 its reverse (20010020121), we get a palindrome (32112021123).

The spelling of 12102001002 in words is "twelve billion, one hundred two million, one thousand, two".