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21121020020020 = 2252416177102033
BaseRepresentation
bin1001100110101100111101…
…11001010100010100110100
32202210011001012101221001111
410303112132321110110310
510232021322111120040
6112530510155404404
74306641364665424
oct463263671242464
982704035357044
1021121020020020
1168034131a51a8
12245148aa53704
13ba291bb9337b
1453039728a484
15269615ddadea
hex13359ee54534

21121020020020 has 48 divisors (see below), whose sum is σ = 44610375469968. Its totient is φ = 8399715287040.

The previous prime is 21121020019997. The next prime is 21121020020033. The reversal of 21121020020020 is 2002002012112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2006251282084 + 19114768737936 = 1416422^2 + 4372044^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577077 + ... + 6524956.

It is an arithmetic number, because the mean of its divisors is an integer number (929382822291).

Almost surely, 221121020020020 is an apocalyptic number.

21121020020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121020020020 is an abundant number, since it is smaller than the sum of its proper divisors (23489355449948).

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

21121020020020 is a wasteful number, since it uses less digits than its factorization.

21121020020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7102900 (or 7102898 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21121020020020 its reverse (2002002012112), we get a palindrome (23123022032132).

The spelling of 21121020020020 in words is "twenty-one trillion, one hundred twenty-one billion, twenty million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 241 482 617 964 1205 1234 2410 2468 3085 4820 6170 12340 148697 297394 594788 743485 1486970 2973940 7102033 14204066 28408132 35510165 71020330 142040660 1711589953 3423179906 4381954361 6846359812 8557949765 8763908722 17115899530 17527817444 21909771805 34231799060 43819543610 87639087220 1056051001001 2112102002002 4224204004004 5280255005005 10560510010010 21121020020020