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21011020020 = 22325532202413
BaseRepresentation
bin10011100100010110…
…101011100011110100
32000020021221101222200
4103210112223203310
5321012310120040
613352523024500
71342446503064
oct234426534364
960207841880
1021011020020
118a0219a361
1240a466b130
131c9aca2a33
1410346a13a4
1582e8c7630
hex4e45ab8f4

21011020020 has 72 divisors (see below), whose sum is σ = 64935974376. Its totient is φ = 5497220352.

The previous prime is 21011019973. The next prime is 21011020061. The reversal of 21011020020 is 2002011012.

It can be written as a sum of positive squares in 4 ways, for example, as 7171379856 + 13839640164 = 84684^2 + 117642^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21011019984 and 21011020011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1091667 + ... + 1110746.

It is an arithmetic number, because the mean of its divisors is an integer number (901888533).

Almost surely, 221011020020 is an apocalyptic number.

21011020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21011020020 is an abundant number, since it is smaller than the sum of its proper divisors (43924954356).

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

21011020020 is a wasteful number, since it uses less digits than its factorization.

21011020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202481 (or 2202476 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21011020020 its reverse (2002011012), we get a palindrome (23013031032).

It can be divided in two parts, 2101 and 1020020, that added together give a square (1022121 = 10112).

The spelling of 21011020020 in words is "twenty-one billion, eleven million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 2202413 4404826 6607239 8809652 11012065 13214478 19821717 22024130 26428956 33036195 39643434 44048260 66072390 79286868 99108585 116727889 132144780 198217170 233455778 350183667 396434340 466911556 583639445 700367334 1050551001 1167278890 1400734668 1750918335 2101102002 2334557780 3501836670 4202204004 5252755005 7003673340 10505510010 21011020020