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12220202013030 = 23251182914889793
BaseRepresentation
bin1011000111010011110011…
…0011001101000101100110
31121021020110220000101022200
42301310330303031011212
53100203433203404110
641553514443235330
72400610666153464
oct261647463150546
947236426011280
1012220202013030
113991616502440
121454434b18b46
136a848b1c700b
14303664b2d834
15162d1ec166c0
hexb1d3cccd166

12220202013030 has 96 divisors (see below), whose sum is σ = 34702749488160. Its totient is φ = 2958899466240.

The previous prime is 12220202012969. The next prime is 12220202013091. The reversal of 12220202013030 is 3031020202221.

12220202013030 is a `hidden beast` number, since 122 + 20 + 20 + 201 + 303 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12220202012969) and next prime (12220202013091).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12220202012994 and 12220202013012.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6624187 + ... + 8265606.

It is an arithmetic number, because the mean of its divisors is an integer number (361486973835).

Almost surely, 212220202013030 is an apocalyptic number.

12220202013030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12220202013030 is an abundant number, since it is smaller than the sum of its proper divisors (22482547475130).

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

12220202013030 is a wasteful number, since it uses less digits than its factorization.

12220202013030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14890646 (or 14890643 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12220202013030 its reverse (3031020202221), we get a palindrome (15251222215251).

The spelling of 12220202013030 in words is "twelve trillion, two hundred twenty billion, two hundred two million, thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 829 990 1658 2487 4145 4974 7461 8290 9119 12435 14922 18238 24870 27357 37305 45595 54714 74610 82071 91190 136785 164142 273570 410355 820710 14889793 29779586 44669379 74448965 89338758 134008137 148897930 163787723 223346895 268016274 327575446 446693790 491363169 670040685 818938615 982726338 1340081370 1474089507 1637877230 2456815845 2948179014 4913631690 7370447535 12343638397 14740895070 24687276794 37030915191 61718191985 74061830382 111092745573 123436383970 135780022367 185154575955 222185491146 271560044734 370309151910 407340067101 555463727865 678900111835 814680134202 1110927455730 1222020201303 1357800223670 2036700335505 2444040402606 4073400671010 6110101006515 12220202013030