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1022210020000 = 2554132302429
BaseRepresentation
bin11101110000000000111…
…01110001001010100000
310121201111120111100020101
432320000131301022200
5113221441231120000
62101332524152144
7133565213543641
oct16700035611240
93551446440211
101022210020000
113645759a8724
12146140098654
13755177a2800
14376920576c8
151b8cb52ce6a
hexee007712a0

1022210020000 has 180 divisors, whose sum is σ = 2723124782070. Its totient is φ = 377430144000.

The previous prime is 1022210019949. The next prime is 1022210020067. The reversal of 1022210020000 is 200122201.

It can be written as a sum of positive squares in 15 ways, for example, as 713220786576 + 308989233424 = 844524^2 + 555868^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3228786 + ... + 3531214.

Almost surely, 21022210020000 is an apocalyptic number.

1022210020000 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 1022210020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361562391035).

1022210020000 is an abundant number, since it is smaller than the sum of its proper divisors (1700914762070).

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

1022210020000 is an equidigital number, since it uses as much as digits as its factorization.

1022210020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302485 (or 302449 counting only the distinct ones).

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

Adding to 1022210020000 its reverse (200122201), we get a palindrome (1022410142201).

The spelling of 1022210020000 in words is "one trillion, twenty-two billion, two hundred ten million, twenty thousand".