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1022010220000 = 2554711739091
BaseRepresentation
bin11101101111101001000…
…11100101110111100000
310121200222122112110011101
432313310203211313200
5113221034104020000
62101301025524144
7133560236351440
oct16676443456740
93550878473141
101022010220000
11364483141a60
121460a51a3654
13754b5288563
14376736c8120
151b8b8c12e6a
hexedf48e5de0

1022010220000 has 480 divisors, whose sum is σ = 3178000514304. Its totient is φ = 314150400000.

The previous prime is 1022010219983. The next prime is 1022010220031. The reversal of 1022010220000 is 220102201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 112415455 + ... + 112424545.

Almost surely, 21022010220000 is an apocalyptic number.

1022010220000 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 1022010220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589000257152).

1022010220000 is an abundant number, since it is smaller than the sum of its proper divisors (2155990294304).

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

1022010220000 is an equidigital number, since it uses as much as digits as its factorization.

1022010220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9212 (or 9189 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1022010220000 its reverse (220102201), we get a palindrome (1022230322201).

It can be divided in two parts, 102 and 2010220000, that added together give a palindrome (2010220102).

The spelling of 1022010220000 in words is "one trillion, twenty-two billion, ten million, two hundred twenty thousand".