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203123132121 = 37132332349599
BaseRepresentation
bin1011110100101100010…
…1010000011011011001
3201102022000000020100110
42331023011100123121
511311444010211441
6233151413354533
720450403064320
oct2751305203331
9642260006313
10203123132121
1179164792628
1233449638a49
1316201386150
149b8cbbb0b7
15543c73bb16
hex2f4b1506d9

203123132121 has 32 divisors (see below), whose sum is σ = 347822899200. Its totient is φ = 102483526464.

The previous prime is 203123132119. The next prime is 203123132137. The reversal of 203123132121 is 121231321302.

203123132121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 203123132121 - 21 = 203123132119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (203123132111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16168521 + ... + 16181078.

It is an arithmetic number, because the mean of its divisors is an integer number (10869465600).

Almost surely, 2203123132121 is an apocalyptic number.

203123132121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

203123132121 is a deficient number, since it is larger than the sum of its proper divisors (144699767079).

203123132121 is a wasteful number, since it uses less digits than its factorization.

203123132121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32349645.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 203123132121 its reverse (121231321302), we get a palindrome (324354453423).

The spelling of 203123132121 in words is "two hundred three billion, one hundred twenty-three million, one hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 13 21 23 39 69 91 161 273 299 483 897 2093 6279 32349599 97048797 226447193 420544787 679341579 744040777 1261634361 2232122331 2943813509 5208285439 8831440527 9672530101 15624856317 29017590303 67707710707 203123132121