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12121322310 = 23251277105467
BaseRepresentation
bin10110100100111110…
…01011001101000110
31011021202101222021100
423102133023031012
5144311024303220
65322442000530
7606243353046
oct132237131506
934252358240
1012121322310
115160196949
1224234a6146
1311b2332586
1482db9d726
154ae237d90
hex2d27cb346

12121322310 has 48 divisors (see below), whose sum is σ = 31540416336. Its totient is φ = 3229790784.

The previous prime is 12121322267. The next prime is 12121322321. The reversal of 12121322310 is 1322312121.

12121322310 is a `hidden beast` number, since 12 + 1 + 21 + 322 + 310 = 666.

12121322310 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121213223102 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62197 + ... + 167663.

It is an arithmetic number, because the mean of its divisors is an integer number (657092007).

Almost surely, 212121322310 is an apocalyptic number.

12121322310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12121322310 is an abundant number, since it is smaller than the sum of its proper divisors (19419094026).

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

12121322310 is a wasteful number, since it uses less digits than its factorization.

12121322310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106757 (or 106754 counting only the distinct ones).

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

Adding to 12121322310 its reverse (1322312121), we get a palindrome (13443634431).

The spelling of 12121322310 in words is "twelve billion, one hundred twenty-one million, three hundred twenty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1277 2554 3831 6385 7662 11493 12770 19155 22986 38310 57465 105467 114930 210934 316401 527335 632802 949203 1054670 1582005 1898406 3164010 4746015 9492030 134681359 269362718 404044077 673406795 808088154 1212132231 1346813590 2020220385 2424264462 4040440770 6060661155 12121322310