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121319319 = 3113231321
BaseRepresentation
bin1110011101100…
…10111110010111
322110021122211010
413032302332113
5222024204234
620012143303
73002124432
oct716627627
9273248733
10121319319
1162533000
1234767b33
131c1995a4
1412180819
15a9b66e9
hex73b2f97

121319319 has 32 divisors (see below), whose sum is σ = 185799168. Its totient is φ = 70276800.

The previous prime is 121319309. The next prime is 121319323. The reversal of 121319319 is 913913121.

It is a happy number.

It is not a de Polignac number, because 121319319 - 28 = 121319063 is a prime.

It is a super-2 number, since 2×1213193192 = 29436754325247522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121319309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91179 + ... + 92499.

It is an arithmetic number, because the mean of its divisors is an integer number (5806224).

Almost surely, 2121319319 is an apocalyptic number.

121319319 is a deficient number, since it is larger than the sum of its proper divisors (64479849).

121319319 is a wasteful number, since it uses less digits than its factorization.

121319319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1358 counting only the distinct ones).

The product of its digits is 1458, while the sum is 30.

The square root of 121319319 is about 11014.5049366733. The cubic root of 121319319 is about 495.0434529755.

The spelling of 121319319 in words is "one hundred twenty-one million, three hundred nineteen thousand, three hundred nineteen".

Divisors: 1 3 11 23 33 69 121 253 363 759 1321 1331 2783 3963 3993 8349 14531 30383 30613 43593 91149 91839 159841 334213 479523 1002639 1758251 3676343 5274753 11029029 40439773 121319319