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21011001121012 = 22759122310399447
BaseRepresentation
bin1001100011100000000010…
…10000100001100011110100
32202101122001210102210010011
410301300001100201203310
510223221012241333022
6112404153132510004
74265665123533010
oct461600120414364
982348053383104
1021011001121012
116770796416a81
1224340a591b304
13b954377aa226
14528d1b787540
1526682730d977
hex131c014218f4

21011001121012 has 48 divisors (see below), whose sum is σ = 42769185822720. Its totient is φ = 8844853616352.

The previous prime is 21011001121007. The next prime is 21011001121013. The reversal of 21011001121012 is 21012110011012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21011001120983 and 21011001121001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21011001121013) 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, 3179328 + ... + 7220119.

It is an arithmetic number, because the mean of its divisors is an integer number (891024704640).

Almost surely, 221011001121012 is an apocalyptic number.

It is an amenable number.

21011001121012 is an abundant number, since it is smaller than the sum of its proper divisors (21758184701708).

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

21011001121012 is a wasteful number, since it uses less digits than its factorization.

21011001121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10400740 (or 10400738 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 21011001121012 its reverse (21012110011012), we get a palindrome (42023111132024).

Subtracting 21011001121012 from its reverse (21012110011012), we obtain a square (1108890000 = 333002).

The spelling of 21011001121012 in words is "twenty-one trillion, eleven billion, one million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 4 7 14 28 59 118 236 413 826 1223 1652 2446 4892 8561 17122 34244 72157 144314 288628 505099 1010198 2020396 10399447 20798894 41597788 72796129 145592258 291184516 613567373 1227134746 2454269492 4294971611 8589943222 12718523681 17179886444 25437047362 50874094724 89029665767 178059331534 356118663068 750392897179 1500785794358 3001571588716 5252750280253 10505500560506 21011001121012