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12101040314 = 211671272509
BaseRepresentation
bin10110100010100011…
…10011100010111010
31011020100020112121022
423101101303202322
5144240331242224
65320435142442
7605606100626
oct132121634272
934210215538
1012101040314
11514a7a3770
122418744a22
1311ab0809ac
1482b200186
154ac57d65e
hex2d14738ba

12101040314 has 48 divisors (see below), whose sum is σ = 20296539360. Its totient is φ = 5365150560.

The previous prime is 12101040313. The next prime is 12101040403. The reversal of 12101040314 is 41304010121.

It is a happy number.

12101040314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12101040292 and 12101040301.

It is not an unprimeable number, because it can be changed into a prime (12101040311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23773892 + ... + 23774400.

It is an arithmetic number, because the mean of its divisors is an integer number (422844570).

Almost surely, 212101040314 is an apocalyptic number.

12101040314 is a deficient number, since it is larger than the sum of its proper divisors (8195499046).

12101040314 is a wasteful number, since it uses less digits than its factorization.

12101040314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12101040314 its reverse (41304010121), we get a palindrome (53405050435).

The spelling of 12101040314 in words is "twelve billion, one hundred one million, forty thousand, three hundred fourteen".

Divisors: 1 2 11 22 67 127 134 254 509 737 1018 1397 1474 2794 5599 8509 11198 16129 17018 32258 34103 64643 68206 93599 129286 177419 187198 354838 375133 711073 750266 1080643 1422146 2161286 4331081 8209661 8662162 11887073 16419322 23774146 47641891 90306271 95283782 180612542 550047287 1100094574 6050520157 12101040314