Search a number
-
+
112200000102 = 232172331253313
BaseRepresentation
bin110100001111110100…
…1000010001001100110
3101201121102002120011100
41220133221002021212
53314241200000402
6123313255220530
711051264156631
oct1503751021146
9351542076140
10112200000102
1143646a7a813
12198b3677746
13a77122b608
145605460c18
152dba31471c
hex1a1fa42266

112200000102 has 288 divisors, whose sum is σ = 283674965184. Its totient is φ = 31866531840.

The previous prime is 112200000053. The next prime is 112200000131. The reversal of 112200000102 is 201000002211.

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 358466298 + ... + 358466610.

It is an arithmetic number, because the mean of its divisors is an integer number (984982518).

Almost surely, 2112200000102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112200000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141837482592).

112200000102 is an abundant number, since it is smaller than the sum of its proper divisors (171474965082).

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

112200000102 is a wasteful number, since it uses less digits than its factorization.

112200000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 442 counting only the distinct ones).

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

Adding to 112200000102 its reverse (201000002211), we get a palindrome (313200002313).

The spelling of 112200000102 in words is "one hundred twelve billion, two hundred million, one hundred two", and thus it is an aban number.