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1021000201220 = 225537916773009
BaseRepresentation
bin11101101101110000101…
…10101011010000000100
310121121101021000011212102
432312320112223100010
5113212002022414340
62101012505411232
7133523223342326
oct16667026532004
93547337004772
101021000201220
11364004aa599a
12145a62a99b18
1375383c510cc
14375b94cd616
151b85a203215
hexedb85ab404

1021000201220 has 96 divisors (see below), whose sum is σ = 2225484979200. Its totient is φ = 393247954944.

The previous prime is 1021000201213. The next prime is 1021000201223. The reversal of 1021000201220 is 221020001201.

It is a happy number.

It is a super-3 number, since 3×10210002012203 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1021000201223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13948076 + ... + 14021084.

It is an arithmetic number, because the mean of its divisors is an integer number (23182135200).

Almost surely, 21021000201220 is an apocalyptic number.

1021000201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021000201220 is an abundant number, since it is smaller than the sum of its proper divisors (1204484777980).

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

1021000201220 is a wasteful number, since it uses less digits than its factorization.

1021000201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73317 (or 73315 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1021000201220 its reverse (221020001201), we get a palindrome (1242020202421).

The spelling of 1021000201220 in words is "one trillion, twenty-one billion, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 53 79 106 158 167 212 265 316 334 395 530 668 790 835 1060 1580 1670 3340 4187 8374 8851 13193 16748 17702 20935 26386 35404 41870 44255 52772 65965 73009 83740 88510 131930 146018 177020 263860 292036 365045 699229 730090 1398458 1460180 2796916 3496145 3869477 5767711 6992290 7738954 11535422 12192503 13984580 15477908 19347385 23070844 24385006 28838555 38694770 48770012 57677110 60962515 77389540 115354220 121925030 243850060 305688683 611377366 646202659 963207737 1222754732 1292405318 1528443415 1926415474 2584810636 3056886830 3231013295 3852830948 4816038685 6113773660 6462026590 9632077370 12924053180 19264154740 51050010061 102100020122 204200040244 255250050305 510500100610 1021000201220