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1022124324324 = 2232971179231107
BaseRepresentation
bin11101101111110110101…
…10110111010111100100
310121201021121020112212110
432313323112313113210
5113221302311334244
62101320223321020
7133563123256215
oct16677326672744
93551247215773
101022124324324
11364531597254
12146117450170
1375502ac9acc
143768490b40c
151b8c3c519b9
hexedfb5b75e4

1022124324324 has 96 divisors (see below), whose sum is σ = 2515934131200. Its totient is φ = 322513045120.

The previous prime is 1022124324257. The next prime is 1022124324337. The reversal of 1022124324324 is 4234234212201.

It is a junction number, because it is equal to n+sod(n) for n = 1022124324291 and 1022124324300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4307179 + ... + 4538285.

It is an arithmetic number, because the mean of its divisors is an integer number (26207647200).

Almost surely, 21022124324324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022124324324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257967065600).

1022124324324 is an abundant number, since it is smaller than the sum of its proper divisors (1493809806876).

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

1022124324324 is a wasteful number, since it uses less digits than its factorization.

1022124324324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231393 (or 231391 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1022124324324 its reverse (4234234212201), we get a palindrome (5256358536525).

The spelling of 1022124324324 in words is "one trillion, twenty-two billion, one hundred twenty-four million, three hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 58 71 87 116 142 174 179 213 284 348 358 426 537 716 852 1074 2059 2148 4118 5191 6177 8236 10382 12354 12709 15573 20764 24708 25418 31146 38127 50836 62292 76254 152508 231107 368561 462214 693321 737122 924428 1105683 1386642 1474244 2211366 2773284 4422732 6702103 13404206 16408597 20106309 26808412 32817194 40212618 41368153 49225791 65634388 80425236 82736306 98451582 124104459 165472612 196903164 248208918 475849313 496417836 951698626 1199676437 1427547939 1903397252 2399352874 2855095878 2937138863 3599029311 4798705748 5710191756 5874277726 7198058622 8811416589 11748555452 14396117244 17622833178 35245666356 85177027027 170354054054 255531081081 340708108108 511062162162 1022124324324