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13121210322 = 23211371791047
BaseRepresentation
bin11000011100001010…
…11100011111010010
31020212102212112202200
430032011130133102
5203333012212242
610010001024030
7643104306333
oct141605343722
936772775680
1013121210322
115623643580
122662325016
13131153079c
148c68bc28a
1551bde604c
hex30e15c7d2

13121210322 has 48 divisors (see below), whose sum is σ = 31851997632. Its totient is φ = 3868659360.

The previous prime is 13121210321. The next prime is 13121210327. The reversal of 13121210322 is 22301212131.

13121210322 is a `hidden beast` number, since 13 + 121 + 210 + 322 = 666.

13121210322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13121210295 and 13121210304.

It is not an unprimeable number, because it can be changed into a prime (13121210321) 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, 888198 + ... + 902849.

It is an arithmetic number, because the mean of its divisors is an integer number (663583284).

Almost surely, 213121210322 is an apocalyptic number.

13121210322 is an abundant number, since it is smaller than the sum of its proper divisors (18730787310).

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

13121210322 is a wasteful number, since it uses less digits than its factorization.

13121210322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791103 (or 1791100 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13121210322 its reverse (22301212131), we get a palindrome (35422422453).

The spelling of 13121210322 in words is "thirteen billion, one hundred twenty-one million, two hundred ten thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 1791047 3582094 5373141 10746282 16119423 19701517 32238846 39403034 59104551 66268739 118209102 132537478 177313653 198806217 354627306 397612434 596418651 728956129 1192837302 1457912258 2186868387 4373736774 6560605161 13121210322