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1000022201220 = 2235723293796479
BaseRepresentation
bin11101000110101011111…
…01111101001110000100
310112121020021012100211110
432203111331331032010
5112341021140414340
62043223122205020
7132151324313430
oct16432575751604
93477207170743
101000022201220
1135611a50a009
121419894b3770
13733bca6cb63
14365893859c0
151b02d69e680
hexe8d5f7d384

1000022201220 has 384 divisors, whose sum is σ = 3547747123200. Its totient is φ = 205391628288.

The previous prime is 1000022201203. The next prime is 1000022201237. The reversal of 1000022201220 is 221022200001.

It is an interprime number because it is at equal distance from previous prime (1000022201203) and next prime (1000022201237).

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 = 1000022201196 and 1000022201205.

It is an unprimeable number.

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, 10316941 + ... + 10413419.

It is an arithmetic number, because the mean of its divisors is an integer number (9238924800).

Almost surely, 21000022201220 is an apocalyptic number.

1000022201220 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 1000022201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773873561600).

1000022201220 is an abundant number, since it is smaller than the sum of its proper divisors (2547724921980).

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

1000022201220 is a wasteful number, since it uses less digits than its factorization.

1000022201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96587 (or 96585 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1000022201220 its reverse (221022200001), we get a palindrome (1221044401221).

The spelling of 1000022201220 in words is "one trillion, twenty-two million, two hundred one thousand, two hundred twenty".