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10013330120022 = 2321929234814201
BaseRepresentation
bin1001000110110110100011…
…1111000001110101010110
31022110021011012012111211100
42101231220333001311112
52303024300002320042
633144021011450530
72052303440450055
oct221555077016526
938407135174740
1010013330120022
1132106a1895539
121158797bb6a46
13578339a427c8
1426890d66c39c
1512570a35324c
hex91b68fc1d56

10013330120022 has 72 divisors (see below), whose sum is σ = 23652072554760. Its totient is φ = 3053066083200.

The previous prime is 10013330120011. The next prime is 10013330120029. The reversal of 10013330120022 is 22002103331001.

10013330120022 is a `hidden beast` number, since 10 + 0 + 133 + 301 + 200 + 22 = 666.

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 = 10013330119977 and 10013330120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013330120029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17119479 + ... + 17694722.

It is an arithmetic number, because the mean of its divisors is an integer number (328501007705).

Almost surely, 210013330120022 is an apocalyptic number.

10013330120022 is an abundant number, since it is smaller than the sum of its proper divisors (13638742434738).

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

10013330120022 is a wasteful number, since it uses less digits than its factorization.

10013330120022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34814286 (or 34814254 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10013330120022 its reverse (22002103331001), we get a palindrome (32015433451023).

The spelling of 10013330120022 in words is "ten trillion, thirteen billion, three hundred thirty million, one hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 522 551 841 1102 1653 1682 2523 3306 4959 5046 7569 9918 15138 15979 31958 47937 95874 143811 287622 34814201 69628402 104442603 208885206 313327809 626655618 661469819 1009611829 1322939638 1984409457 2019223658 3028835487 3968818914 5953228371 6057670974 9086506461 11906456742 18173012922 19182624751 29278743041 38365249502 57547874253 58557486082 87836229123 115095748506 172643622759 175672458246 263508687369 345287245518 527017374738 556296117779 1112592235558 1668888353337 3337776706674 5006665060011 10013330120022