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2102122020020 = 2251159421138459
BaseRepresentation
bin11110100101110000001…
…111000111110010110100
321102221221111102222102212
4132211300033013302310
5233420121214120040
64245411310152552
7304605354231611
oct36456017076264
97387844388385
102102122020020
11740561094a40
1229b4a44b2758
131232c98a1659
1473a5968d508
1539a3367dd65
hex1e9703c7cb4

2102122020020 has 96 divisors (see below), whose sum is σ = 4898684044800. Its totient is φ = 751253955200.

The previous prime is 2102122020017. The next prime is 2102122020023. The reversal of 2102122020020 is 200202212012.

It is an interprime number because it is at equal distance from previous prime (2102122020017) and next prime (2102122020023).

It is a junction number, because it is equal to n+sod(n) for n = 2102122019977 and 2102122020004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102122020023) 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, 54639551 + ... + 54678009.

It is an arithmetic number, because the mean of its divisors is an integer number (51027958800).

Almost surely, 22102122020020 is an apocalyptic number.

2102122020020 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 2102122020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449342022400).

2102122020020 is an abundant number, since it is smaller than the sum of its proper divisors (2796562024780).

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

2102122020020 is a wasteful number, since it uses less digits than its factorization.

2102122020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42749 (or 42747 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2102122020020 its reverse (200202212012), we get a palindrome (2302324232032).

The spelling of 2102122020020 in words is "two trillion, one hundred two billion, one hundred twenty-two million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 1180 1298 2596 3245 4211 6490 8422 12980 16844 21055 38459 42110 46321 76918 84220 92642 153836 185284 192295 231605 248449 384590 423049 463210 496898 769180 846098 926420 993796 1242245 1692196 2115245 2269081 2484490 2732939 4230490 4538162 4968980 5465878 8460980 9076324 10931756 11345405 13664695 22690810 24959891 27329390 45381620 49919782 54658780 99839564 124799455 161950849 249598910 323901698 499197820 647803396 809754245 1619508490 1781459339 3239016980 3562918678 7125837356 8907296695 9555100091 17814593390 19110200182 35629186780 38220400364 47775500455 95551000910 105106101001 191102001820 210212202002 420424404004 525530505005 1051061010010 2102122020020