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1233213140 = 22561660657
BaseRepresentation
bin100100110000001…
…0101011011010100
310011221111201101202
41021200111123110
510011200310030
6322212012032
742363065405
oct11140253324
93157451352
101233213140
11583131315
122a5001018
13168652b23
14b9ad79ac
15733eb745
hex498156d4

1233213140 has 12 divisors (see below), whose sum is σ = 2589747636. Its totient is φ = 493285248.

The previous prime is 1233213101. The next prime is 1233213151. The reversal of 1233213140 is 413123321.

It can be written as a sum of positive squares in 2 ways, for example, as 124456336 + 1108756804 = 11156^2 + 33298^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 61660657 = 1233213140 / (1 + 2 + 3 + 3 + 2 + 1 + 3 + 1 + 4 + 0).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30830309 + ... + 30830348.

It is an arithmetic number, because the mean of its divisors is an integer number (215812303).

Almost surely, 21233213140 is an apocalyptic number.

1233213140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1233213140 is an abundant number, since it is smaller than the sum of its proper divisors (1356534496).

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

1233213140 is a wasteful number, since it uses less digits than its factorization.

1233213140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61660666 (or 61660664 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1233213140 is about 35117.1345641981. The cubic root of 1233213140 is about 1072.3734369953.

Adding to 1233213140 its reverse (413123321), we get a palindrome (1646336461).

The spelling of 1233213140 in words is "one billion, two hundred thirty-three million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 61660657 123321314 246642628 308303285 616606570 1233213140