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1001222110020 = 22351131145333679
BaseRepresentation
bin11101001000111010111…
…11001111101101000100
310112201022220001001021010
432210131133033231010
5112401000330010040
62043542144322220
7132223134342006
oct16443537175504
93481286031233
101001222110020
11356685863280
12142063313370
1373551531972
1436660890376
151b09dbbce80
hexe91d7cfb44

1001222110020 has 192 divisors, whose sum is σ = 3159199088640. Its totient is φ = 234722188800.

The previous prime is 1001222110019. The next prime is 1001222110027. The reversal of 1001222110020 is 200112221001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1001222109978 and 1001222110005.

It is not an unprimeable number, because it can be changed into a prime (1001222110027) 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, 29711541 + ... + 29745219.

It is an arithmetic number, because the mean of its divisors is an integer number (16454161920).

Almost surely, 21001222110020 is an apocalyptic number.

1001222110020 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 1001222110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579599544320).

1001222110020 is an abundant number, since it is smaller than the sum of its proper divisors (2157976978620).

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

1001222110020 is a wasteful number, since it uses less digits than its factorization.

1001222110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35186 (or 35184 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1001222110020 its reverse (200112221001), we get a palindrome (1201334331021).

The spelling of 1001222110020 in words is "one trillion, one billion, two hundred twenty-two million, one hundred ten thousand, twenty".