Search a number
-
+
10122021201222 = 23272334976113151
BaseRepresentation
bin1001001101001011011101…
…1110100110010101000110
31022211122201001122112011100
42103102313132212111012
52311314344411414342
633305554202520530
72063202056422530
oct223226736462506
938748631575140
1010122021201222
1132527a80a6577
121175870506146
1358566c001038
1426dca0a8c850
1512846c597e4c
hex934b77a6546

10122021201222 has 192 divisors, whose sum is σ = 26265196339200. Its totient is φ = 2754506304000.

The previous prime is 10122021201217. The next prime is 10122021201223. The reversal of 10122021201222 is 22210212022101.

It is a happy number.

10122021201222 is a `hidden beast` number, since 1 + 0 + 1 + 220 + 21 + 201 + 222 = 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 = 10122021201195 and 10122021201204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122021201223) 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 95 ways as a sum of consecutive naturals, for example, 769670347 + ... + 769683497.

It is an arithmetic number, because the mean of its divisors is an integer number (136797897600).

Almost surely, 210122021201222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122021201222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13132598169600).

10122021201222 is an abundant number, since it is smaller than the sum of its proper divisors (16143175137978).

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

10122021201222 is a wasteful number, since it uses less digits than its factorization.

10122021201222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14299 (or 14296 counting only the distinct ones).

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

Adding to 10122021201222 its reverse (22210212022101), we get a palindrome (32332233223323).

The spelling of 10122021201222 in words is "ten trillion, one hundred twenty-two billion, twenty-one million, two hundred one thousand, two hundred twenty-two".