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1022211010000 = 2454102221101
BaseRepresentation
bin11101110000000001000…
…01100010110111010000
310121201111122100122021001
432320000201202313100
5113221442004310000
62101333001311344
7133565225136145
oct16700041426720
93551448318231
101022211010000
11364576514504
12146140495554
1375517a5b2cb
14376922343cc
151b8cb67646a
hexee00862dd0

1022211010000 has 50 divisors (see below), whose sum is σ = 2474875100522. Its totient is φ = 408884400000.

The previous prime is 1022211009991. The next prime is 1022211010003. The reversal of 1022211010000 is 101122201.

It can be written as a sum of positive squares in 5 ways, for example, as 447689457216 + 574521552784 = 669096^2 + 757972^2 .

It is a tau number, because it is divible by the number of its divisors (50).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022211010003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 51100551 + ... + 51120550.

Almost surely, 21022211010000 is an apocalyptic number.

1022211010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022211010000 is an abundant number, since it is smaller than the sum of its proper divisors (1452664090522).

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

1022211010000 is an equidigital number, since it uses as much as digits as its factorization.

1022211010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102221129 (or 102221108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1022211010000 its reverse (101122201), we get a palindrome (1022312132201).

The spelling of 1022211010000 in words is "one trillion, twenty-two billion, two hundred eleven million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 102221101 204442202 408884404 511105505 817768808 1022211010 1635537616 2044422020 2555527525 4088844040 5111055050 8177688080 10222110100 12777637625 20444220200 25555275250 40888440400 51110550500 63888188125 102221101000 127776376250 204442202000 255552752500 511105505000 1022211010000