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1223110201000 = 23538211489781
BaseRepresentation
bin10001110011000111000…
…011001000111010101000
311022221001122121221220211
4101303013003020322220
5130014412202413000
62333520012230504
7154236545112232
oct21630703107250
94287048557824
101223110201000
11431799905166
1217906916b434
138b45344c85c
14432ad901252
1521c38a177ba
hex11cc70c8ea8

1223110201000 has 64 divisors (see below), whose sum is σ = 2865565881360. Its totient is φ = 488647840000.

The previous prime is 1223110200989. The next prime is 1223110201009. The reversal of 1223110201000 is 1020113221.

It can be written as a sum of positive squares in 8 ways, for example, as 15568551076 + 1207541649924 = 124774^2 + 1098882^2 .

It is not an unprimeable number, because it can be changed into a prime (1223110201009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76110 + ... + 1565890.

Almost surely, 21223110201000 is an apocalyptic number.

1223110201000 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 1223110201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432782940680).

1223110201000 is an abundant number, since it is smaller than the sum of its proper divisors (1642455680360).

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

1223110201000 is a wasteful number, since it uses less digits than its factorization.

1223110201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490623 (or 1490609 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1223110201000 its reverse (1020113221), we get a palindrome (1224130314221).

The spelling of 1223110201000 in words is "one trillion, two hundred twenty-three billion, one hundred ten million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 821 1000 1642 3284 4105 6568 8210 16420 20525 32840 41050 82100 102625 164200 205250 410500 821000 1489781 2979562 5959124 7448905 11918248 14897810 29795620 37244525 59591240 74489050 148978100 186222625 297956200 372445250 744890500 1223110201 1489781000 2446220402 4892440804 6115551005 9784881608 12231102010 24462204020 30577755025 48924408040 61155510050 122311020100 152888775125 244622040200 305777550250 611555100500 1223110201000