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1022240020312 = 2376733722399
BaseRepresentation
bin11101110000000100100…
…00001101011101011000
310121201120122221111221001
432320002100031131120
5113222021421122222
62101335515154344
7133566026543260
oct16700220153530
93551518844831
101022240020312
11364590929375
1214614a1459b4
1375520a77984
14376960267a0
151b8cdea6e27
hexee0240d758

1022240020312 has 96 divisors (see below), whose sum is σ = 2230754688000. Its totient is φ = 430104052224.

The previous prime is 1022240020237. The next prime is 1022240020313. The reversal of 1022240020312 is 2130200422201.

It is a self number, because there is not a number n which added to its sum of digits gives 1022240020312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022240020313) 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 23 ways as a sum of consecutive naturals, for example, 426109689 + ... + 426112087.

It is an arithmetic number, because the mean of its divisors is an integer number (23237028000).

Almost surely, 21022240020312 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 1022240020312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115377344000).

1022240020312 is an abundant number, since it is smaller than the sum of its proper divisors (1208514667688).

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

1022240020312 is an equidigital number, since it uses as much as digits as its factorization.

1022240020312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 1022240020312 its reverse (2130200422201), we get a palindrome (3152440442513).

The spelling of 1022240020312 in words is "one trillion, twenty-two billion, two hundred forty million, twenty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 67 134 268 337 469 536 674 938 1348 1876 2359 2399 2696 3752 4718 4798 9436 9596 16793 18872 19192 22579 33586 45158 67172 90316 113569 134344 158053 160733 180632 227138 316106 321466 454276 632212 642932 794983 808463 908552 1125131 1264424 1285864 1589966 1616926 2250262 3179932 3233852 4500524 5659241 6359864 6467704 7609123 9001048 11318482 15218246 22636964 30436492 45273928 53263861 54167021 60872984 106527722 108334042 213055444 216668084 272452031 379169147 426110888 433336168 544904062 758338294 1089808124 1516676588 1907164217 2179616248 3033353176 3814328434 7628656868 15257313736 18254286077 36508572154 73017144308 127780002539 146034288616 255560005078 511120010156 1022240020312