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1022233124020 = 2254124147910799
BaseRepresentation
bin11101110000000011101…
…01111001110010110100
310121201120011222010222211
432320001311321302310
5113222013134432040
62101335111303204
7133565614121413
oct16700165716264
93551504863884
101022233124020
11364587a49059
1214614797ab04
137551c501a24
143769514d47a
151b8cd5938ea
hexee01d79cb4

1022233124020 has 96 divisors (see below), whose sum is σ = 2212987392000. Its totient is φ = 396398899200.

The previous prime is 1022233123991. The next prime is 1022233124021. The reversal of 1022233124020 is 204213322201.

It is a junction number, because it is equal to n+sod(n) for n = 1022233123982 and 1022233124000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022233124021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94654581 + ... + 94665379.

It is an arithmetic number, because the mean of its divisors is an integer number (23051952000).

Almost surely, 21022233124020 is an apocalyptic number.

1022233124020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022233124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106493696000).

1022233124020 is an abundant number, since it is smaller than the sum of its proper divisors (1190754267980).

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

1022233124020 is a wasteful number, since it uses less digits than its factorization.

1022233124020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11569 (or 11567 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1022233124020 its reverse (204213322201), we get a palindrome (1226446446221).

The spelling of 1022233124020 in words is "one trillion, twenty-two billion, two hundred thirty-three million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 241 410 479 482 820 958 964 1205 1916 2395 2410 4790 4820 9580 9881 10799 19639 19762 21598 39278 39524 43196 49405 53995 78556 98195 98810 107990 115439 196390 197620 215980 230878 392780 442759 461756 577195 885518 1154390 1771036 2213795 2308780 2602559 4427590 4732999 5172721 5205118 8855180 9465998 10345442 10410236 13012795 18931996 20690884 23664995 25863605 26025590 47329990 51727210 52051180 94659980 103454420 106704919 212081561 213409838 424163122 426819676 533524595 848326244 1060407805 1067049190 1246625761 2120815610 2134098380 2493251522 4241631220 4986503044 6233128805 12466257610 24932515220 51111656201 102223312402 204446624804 255558281005 511116562010 1022233124020