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20002121220320 = 2551673132391637
BaseRepresentation
bin1001000110001000110110…
…10101001000000011100000
32121211011222012220122220022
410203010123111020003200
510110203321013022240
6110312503031133012
74133051132056451
oct443043325100340
977734865818808
1020002121220320
116411940a7a288
1222b0665b14168
13b212658c15a5
144d2171c6d128
1524a47b1e09b5
hex12311b5480e0

20002121220320 has 96 divisors (see below), whose sum is σ = 47689873979328. Its totient is φ = 7927527149568.

The previous prime is 20002121220311. The next prime is 20002121220329. The reversal of 20002121220320 is 2302212120002.

It is an interprime number because it is at equal distance from previous prime (20002121220311) and next prime (20002121220329).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002121220329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7167542 + ... + 9559178.

It is an arithmetic number, because the mean of its divisors is an integer number (496769520618).

Almost surely, 220002121220320 is an apocalyptic number.

20002121220320 is a gapful number since it is divisible by the number (20) 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 20002121220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23844936989664).

20002121220320 is an abundant number, since it is smaller than the sum of its proper divisors (27687752759008).

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

20002121220320 is a wasteful number, since it uses less digits than its factorization.

20002121220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392132 (or 2392124 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 20002121220320 its reverse (2302212120002), we get a palindrome (22304333340322).

The spelling of 20002121220320 in words is "twenty trillion, two billion, one hundred twenty-one million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 167 313 334 626 668 835 1252 1336 1565 1670 2504 2672 3130 3340 5008 5344 6260 6680 10016 12520 13360 25040 26720 50080 52271 104542 209084 261355 418168 522710 836336 1045420 1672672 2090840 2391637 4181680 4783274 8363360 9566548 11958185 19133096 23916370 38266192 47832740 76532384 95665480 191330960 382661920 399403379 748582381 798806758 1497164762 1597613516 1997016895 2994329524 3195227032 3742911905 3994033790 5988659048 6390454064 7485823810 7988067580 11977318096 12780908128 14971647620 15976135160 23954636192 29943295240 31952270320 59886590480 63904540640 119773180960 125013257627 250026515254 500053030508 625066288135 1000106061016 1250132576270 2000212122032 2500265152540 4000424244064 5000530305080 10001060610160 20002121220320