Search a number
-
+
10012012222212 = 2232711131392119473
BaseRepresentation
bin1001000110110001101001…
…1011101001011100000100
31022110010202100100100220100
42101230122123221130010
52303014100112102322
633143242132404100
72052225665504310
oct221543233513404
938403670310810
1010012012222212
1132100859833a0
12115848a776630
135781899ac210
1426882660cb40
1512567e7c9dac
hex91b1a6e9704

10012012222212 has 576 divisors, whose sum is σ = 34390456289280. Its totient is φ = 2371667558400.

The previous prime is 10012012222211. The next prime is 10012012222241. The reversal of 10012012222212 is 21222221021001.

It is a happy number.

10012012222212 is a `hidden beast` number, since 100 + 120 + 1 + 222 + 221 + 2 = 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 (10012012222211) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1056895108 + ... + 1056904580.

It is an arithmetic number, because the mean of its divisors is an integer number (59705653280).

Almost surely, 210012012222212 is an apocalyptic number.

10012012222212 is a gapful number since it is divisible by the number (12) 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 10012012222212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17195228144640).

10012012222212 is an abundant number, since it is smaller than the sum of its proper divisors (24378444067068).

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

10012012222212 is a wasteful number, since it uses less digits than its factorization.

10012012222212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9864 (or 9859 counting only the distinct ones).

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

Adding to 10012012222212 its reverse (21222221021001), we get a palindrome (31234233243213).

The spelling of 10012012222212 in words is "ten trillion, twelve billion, twelve million, two hundred twenty-two thousand, two hundred twelve".