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1213119540 = 223258537901
BaseRepresentation
bin100100001001110…
…1011110000110100
310010112200212011100
41020103223300310
54441024311130
6320213210100
742030226443
oct11023536064
93115625140
101213119540
11572857736
1229a330930
13164438c19
14b7186d5a
157177cc60
hex484ebc34

1213119540 has 72 divisors (see below), whose sum is σ = 3684576168. Its totient is φ = 323078400.

The previous prime is 1213119493. The next prime is 1213119547. The reversal of 1213119540 is 459113121.

It is a happy number.

1213119540 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 119 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25765776 + 1187353764 = 5076^2 + 34458^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213119547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149590 + ... + 157490.

It is an arithmetic number, because the mean of its divisors is an integer number (51174669).

Almost surely, 21213119540 is an apocalyptic number.

1213119540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1213119540 is an abundant number, since it is smaller than the sum of its proper divisors (2471456628).

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

1213119540 is a wasteful number, since it uses less digits than its factorization.

1213119540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8769 (or 8764 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1213119540 is about 34829.8656328158. The cubic root of 1213119540 is about 1066.5172054040.

The spelling of 1213119540 in words is "one billion, two hundred thirteen million, one hundred nineteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 853 1706 2559 3412 4265 5118 7677 7901 8530 10236 12795 15354 15802 17060 23703 25590 30708 31604 38385 39505 47406 51180 71109 76770 79010 94812 118515 142218 153540 158020 237030 284436 355545 474060 711090 1422180 6739553 13479106 20218659 26958212 33697765 40437318 60655977 67395530 80874636 101093295 121311954 134791060 202186590 242623908 303279885 404373180 606559770 1213119540