Search a number
-
+
12101100201 = 3231712572377
BaseRepresentation
bin10110100010100100…
…00010001010101001
31011020100100120202100
423101102002022221
5144240340201301
65320440324013
7605606440341
oct132122021251
934210316670
1012101100201
11514a834763
122418773609
1311ab0a2028
1482b217d21
154ac591286
hex2d14822a9

12101100201 has 48 divisors (see below), whose sum is σ = 18376270848. Its totient is φ = 7664025600.

The previous prime is 12101100197. The next prime is 12101100203. The reversal of 12101100201 is 10200110121.

It is a happy number.

It is not a de Polignac number, because 12101100201 - 22 = 12101100197 is a prime.

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 (12101100203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5089725 + ... + 5092101.

It is an arithmetic number, because the mean of its divisors is an integer number (382838976).

Almost surely, 212101100201 is an apocalyptic number.

It is an amenable number.

12101100201 is a deficient number, since it is larger than the sum of its proper divisors (6275170647).

12101100201 is a wasteful number, since it uses less digits than its factorization.

12101100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12101100201 its reverse (10200110121), we get a palindrome (22301210322).

The spelling of 12101100201 in words is "twelve billion, one hundred one million, one hundred thousand, two hundred one".

Divisors: 1 3 9 31 71 93 213 257 279 639 771 2201 2313 2377 6603 7131 7967 18247 19809 21393 23901 54741 71703 73687 164223 168767 221061 506301 565657 610889 663183 1518903 1696971 1832667 5090913 5231777 5498001 15695331 18937559 43373119 47085993 56812677 130119357 170438031 390358071 1344566689 4033700067 12101100201