Search a number
-
+
10110222222120 = 23325591014712863
BaseRepresentation
bin1001001100011111100000…
…1101000100001100101000
31022210112020202210021122100
42103013320031010030220
52311121213342101440
633300323313453400
72062303505644536
oct223077015041450
938715222707570
1010110222222120
1132487a2964979
121173518b71260
1358450b6c03b7
1426d4a1a3b156
15127ecb7d4230
hex931f8344328

10110222222120 has 192 divisors, whose sum is σ = 33745991385600. Its totient is φ = 2624121561600.

The previous prime is 10110222222119. The next prime is 10110222222127. The reversal of 10110222222120 is 2122222201101.

It is a happy number.

10110222222120 is a `hidden beast` number, since 101 + 1 + 0 + 222 + 222 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10110222222093 and 10110222222102.

It is not an unprimeable number, because it can be changed into a prime (10110222222127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211192 + ... + 4501671.

It is an arithmetic number, because the mean of its divisors is an integer number (175760371800).

Almost surely, 210110222222120 is an apocalyptic number.

10110222222120 is a gapful number since it is divisible by the number (10) 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 10110222222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16872995692800).

10110222222120 is an abundant number, since it is smaller than the sum of its proper divisors (23635769163480).

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

10110222222120 is a wasteful number, since it uses less digits than its factorization.

10110222222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4713040 (or 4713033 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10110222222120 its reverse (2122222201101), we get a palindrome (12232444423221).

The spelling of 10110222222120 in words is "ten trillion, one hundred ten billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty".