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1213444140102 = 23219231459105733
BaseRepresentation
bin10001101010000110111…
…010000010110001000110
311022000010000020012010100
4101222012322002301012
5124340113144440402
62325240515104530
7153445164002535
oct21520672026106
94260100205110
101213444140102
11428689645587
1217720bba2146
138a5729b40ac
1442a33c6831c
152187011e71c
hex11a86e82c46

1213444140102 has 96 divisors (see below), whose sum is σ = 2889837100800. Its totient is φ = 366277640256.

The previous prime is 1213444140059. The next prime is 1213444140109. The reversal of 1213444140102 is 2010414443121.

1213444140102 is a `hidden beast` number, since 1 + 213 + 4 + 4 + 41 + 401 + 0 + 2 = 666.

It is a super-2 number, since 2×12134441401022 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213444140109) 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 47 ways as a sum of consecutive naturals, for example, 11423628 + ... + 11529360.

It is an arithmetic number, because the mean of its divisors is an integer number (30102469800).

Almost surely, 21213444140102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213444140102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444918550400).

1213444140102 is an abundant number, since it is smaller than the sum of its proper divisors (1676392960698).

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

1213444140102 is a wasteful number, since it uses less digits than its factorization.

1213444140102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107242 (or 107239 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1213444140102 its reverse (2010414443121), we get a palindrome (3223858583223).

The spelling of 1213444140102 in words is "one trillion, two hundred thirteen billion, four hundred forty-four million, one hundred forty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 114 138 171 207 342 414 437 874 1311 1459 2622 2918 3933 4377 7866 8754 13131 26262 27721 33557 55442 67114 83163 100671 105733 166326 201342 211466 249489 302013 317199 498978 604026 634398 637583 951597 1275166 1903194 1912749 2008927 2431859 3825498 4017854 4863718 5738247 6026781 7295577 11476494 12053562 14591154 18080343 21886731 36160686 43773462 46205321 92410642 138615963 154264447 277231926 308528894 415847889 462793341 831695778 925586682 1388380023 2776760046 2931024493 3548082281 5862048986 7096164562 8793073479 10644246843 17586146958 21288493686 26379220437 31932740529 52758440874 63865481058 67413563339 134827126678 202240690017 404481380034 606722070051 1213444140102