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122121301003 = 13149604310433
BaseRepresentation
bin111000110111011111…
…1110010110000001011
3102200012211202212102021
41301232333302300023
54000101023113003
6132033551145311
711552164634302
oct1615677626013
9380184685367
10122121301003
1147878321a49
121b802215237
13b692822870
145ca6d79439
15329b3292bd
hex1c6eff2c0b

122121301003 has 16 divisors (see below), whose sum is σ = 132432501600. Its totient is φ = 111941535744.

The previous prime is 122121300979. The next prime is 122121301021. The reversal of 122121301003 is 300103121221.

It is a cyclic number.

It is not a de Polignac number, because 122121301003 - 29 = 122121300491 is a prime.

It is a super-2 number, since 2×1221213010032 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122121301073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11700075 + ... + 11710507.

It is an arithmetic number, because the mean of its divisors is an integer number (8277031350).

Almost surely, 2122121301003 is an apocalyptic number.

122121301003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

122121301003 is a deficient number, since it is larger than the sum of its proper divisors (10311200597).

122121301003 is a wasteful number, since it uses less digits than its factorization.

122121301003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16638.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 122121301003 its reverse (300103121221), we get a palindrome (422224422224).

The spelling of 122121301003 in words is "one hundred twenty-two billion, one hundred twenty-one million, three hundred one thousand, three".

Divisors: 1 13 149 1937 6043 10433 78559 135629 900407 1554517 11705291 20208721 63046619 819606047 9393946231 122121301003