Search a number
-
+
112102022202210 = 233517292422934759
BaseRepresentation
bin11001011111010011001001…
…001101100100001101100010
3112200220211220200011111021000
4121133103021031210031202
5104143134420140432320
61034230542534412430
732420050420445445
oct3137231115441542
9480824820144230
10112102022202210
11327a0223048577
12106a6158501116
134a72238294201
141d97aa424965c
15ce606e225c90
hex65f4c9364362

112102022202210 has 256 divisors, whose sum is σ = 327460890240000. Its totient is φ = 27163320274944.

The previous prime is 112102022202169. The next prime is 112102022202211. The reversal of 112102022202210 is 12202220201211.

It is a happy number.

112102022202210 is a `hidden beast` number, since 1 + 1 + 21 + 0 + 202 + 220 + 221 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (112102022202211) 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 127 ways as a sum of consecutive naturals, for example, 3225104811 + ... + 3225139569.

It is an arithmetic number, because the mean of its divisors is an integer number (1279144102500).

Almost surely, 2112102022202210 is an apocalyptic number.

112102022202210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112102022202210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163730445120000).

112102022202210 is an abundant number, since it is smaller than the sum of its proper divisors (215358868037790).

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

112102022202210 is a wasteful number, since it uses less digits than its factorization.

112102022202210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59050 (or 59044 counting only the distinct ones).

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

Adding to 112102022202210 its reverse (12202220201211), we get a palindrome (124304242403421).

The spelling of 112102022202210 in words is "one hundred twelve trillion, one hundred two billion, twenty-two million, two hundred two thousand, two hundred ten".