Search a number
-
+
2112933111276 = 22313234347928591
BaseRepresentation
bin11110101111110100101…
…000001010010111101100
321110222211221102022121010
4132233310220022113230
5234104241334030101
64254400145305220
7305440311053241
oct36576450122754
97428757368533
102112933111276
117450a97258a9
122a1601035210
13124330626180
14743a34275c8
1539e678552d6
hex1ebf4a0a5ec

2112933111276 has 192 divisors, whose sum is σ = 5681143480320. Its totient is φ = 606115319040.

The previous prime is 2112933111259. The next prime is 2112933111277. The reversal of 2112933111276 is 6721113392112.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2112933111277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73887741 + ... + 73916331.

It is an arithmetic number, because the mean of its divisors is an integer number (29589288960).

Almost surely, 22112933111276 is an apocalyptic number.

2112933111276 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112933111276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840571740160).

2112933111276 is an abundant number, since it is smaller than the sum of its proper divisors (3568210369044).

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

2112933111276 is a wasteful number, since it uses less digits than its factorization.

2112933111276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29156 (or 29154 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The spelling of 2112933111276 in words is "two trillion, one hundred twelve billion, nine hundred thirty-three million, one hundred eleven thousand, two hundred seventy-six".