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21120020101020 = 22351531316372689
BaseRepresentation
bin1001100110101011000110…
…10010111011011110011100
32202210001110111212210001110
410303111203102323132130
510232012300121213040
6112530223035542020
74306604533552611
oct463254322733634
982701414783043
1021120020101020
116802a4a827265
12245124bbba910
13ba27bc984019
14530300560508
152695a8223980
hex1335634bb79c

21120020101020 has 96 divisors (see below), whose sum is σ = 59194204796160. Its totient is φ = 5626469882880.

The previous prime is 21120020100989. The next prime is 21120020101021. The reversal of 21120020101020 is 2010102002112.

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 = 21120020100987 and 21120020101005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21120020101021) 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, 290516836 + ... + 290589524.

It is an arithmetic number, because the mean of its divisors is an integer number (616606299960).

Almost surely, 221120020101020 is an apocalyptic number.

21120020101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21120020101020 is an abundant number, since it is smaller than the sum of its proper divisors (38074184695140).

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

21120020101020 is a wasteful number, since it uses less digits than its factorization.

21120020101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77395 (or 77393 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21120020101020 its reverse (2010102002112), we get a palindrome (23130122103132).

The spelling of 21120020101020 in words is "twenty-one trillion, one hundred twenty billion, twenty million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1531 3062 3163 4593 6124 6326 7655 9186 9489 12652 15310 15815 18372 18978 22965 30620 31630 37956 45930 47445 63260 72689 91860 94890 145378 189780 218067 290756 363445 436134 726890 872268 1090335 1453780 2180670 4361340 4842553 9685106 14527659 19370212 24212765 29055318 48425530 58110636 72638295 96851060 111286859 145276590 222573718 229915307 290553180 333860577 445147436 459830614 556434295 667721154 689745921 919661228 1112868590 1149576535 1335442308 1379491842 1669302885 2225737180 2299153070 2758983684 3338605770 3448729605 4598306140 6677211540 6897459210 13794918420 352000335017 704000670034 1056001005051 1408001340068 1760001675085 2112002010102 3520003350170 4224004020204 5280005025255 7040006700340 10560010050510 21120020101020