Search a number
-
+
12112100010 = 23251319102031
BaseRepresentation
bin10110100011110111…
…11111101010101010
31011021010001102122200
423101323333222222
5144301144200020
65321512201030
7606102102633
oct132173775252
934233042580
1012112100010
115155a6800a
122420399176
1311b04539aa
1482c87c88a
154ad515590
hex2d1effaaa

12112100010 has 48 divisors (see below), whose sum is σ = 31515644160. Its totient is φ = 3227412960.

The previous prime is 12112099997. The next prime is 12112100023. The reversal of 12112100010 is 1000121121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12112099997) and next prime (12112100023).

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

It is a junction number, because it is equal to n+sod(n) for n = 12112099965 and 12112100001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67695 + ... + 169725.

It is an arithmetic number, because the mean of its divisors is an integer number (656575920).

Almost surely, 212112100010 is an apocalyptic number.

12112100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12112100010 is an abundant number, since it is smaller than the sum of its proper divisors (19403544150).

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

12112100010 is a wasteful number, since it uses less digits than its factorization.

12112100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103363 (or 103360 counting only the distinct ones).

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

Adding to 12112100010 its reverse (1000121121), we get a palindrome (13112221131).

The spelling of 12112100010 in words is "twelve billion, one hundred twelve million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1319 2638 3957 6595 7914 11871 13190 19785 23742 39570 59355 102031 118710 204062 306093 510155 612186 918279 1020310 1530465 1836558 3060930 4591395 9182790 134578889 269157778 403736667 672894445 807473334 1211210001 1345788890 2018683335 2422420002 4037366670 6056050005 12112100010