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10013122020 = 22351179192043
BaseRepresentation
bin10010101001101010…
…00001110111100100
3221211211110022011010
421110311001313210
5131001324401040
64333331542220
7503064063366
oct112465016744
927754408133
1010013122020
114279167860
121b3545a970
13c37633095
146adbbad36
153d9100e80
hex254d41de4

10013122020 has 96 divisors (see below), whose sum is σ = 30972856320. Its totient is φ = 2396684160.

The previous prime is 10013122019. The next prime is 10013122027. The reversal of 10013122020 is 2022131001.

It is a super-2 number, since 2×100131220202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10013121987 and 10013122005.

It is not an unprimeable number, because it can be changed into a prime (10013122027) 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, 43882 + ... + 148161.

It is an arithmetic number, because the mean of its divisors is an integer number (322633920).

Almost surely, 210013122020 is an apocalyptic number.

10013122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013122020 is an abundant number, since it is smaller than the sum of its proper divisors (20959734300).

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

10013122020 is a wasteful number, since it uses less digits than its factorization.

10013122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192145 (or 192143 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10013122020 its reverse (2022131001), we get a palindrome (12035253021).

The spelling of 10013122020 in words is "ten billion, thirteen million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 79 110 132 158 165 220 237 316 330 395 474 660 790 869 948 1185 1580 1738 2370 2607 3476 4345 4740 5214 8690 10428 13035 17380 26070 52140 192043 384086 576129 768172 960215 1152258 1920430 2112473 2304516 2880645 3840860 4224946 5761290 6337419 8449892 10562365 11522580 12674838 15171397 21124730 25349676 30342794 31687095 42249460 45514191 60685588 63374190 75856985 91028382 126748380 151713970 166885367 182056764 227570955 303427940 333770734 455141910 500656101 667541468 834426835 910283820 1001312202 1668853670 2002624404 2503280505 3337707340 5006561010 10013122020