Search a number
-
+
21302323000020 = 22325373198546997
BaseRepresentation
bin1001101011111110101010…
…11001010011001011010100
32210102111000111221120211200
410311333111121103023110
510243004124142000040
6113150052503432500
74326020264620146
oct465772531231324
983374014846750
1021302323000020
11687329aa8a557
122480648a55730
13bb6a537470aa
14539076140c96
1526e1c7bc2630
hex135fd56532d4

21302323000020 has 72 divisors (see below), whose sum is σ = 66363453114504. Its totient is φ = 5527089209088.

The previous prime is 21302322999989. The next prime is 21302323000051. The reversal of 21302323000020 is 2000032320312.

It is a happy number.

21302323000020 is a `hidden beast` number, since 2 + 130 + 232 + 300 + 0 + 0 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21302322999989) and next prime (21302323000051).

It can be written as a sum of positive squares in 4 ways, for example, as 4432557572496 + 16869765427524 = 2105364^2 + 4107282^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21302322999957 and 21302323000002.

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, 1599266839 + ... + 1599280158.

Almost surely, 221302323000020 is an apocalyptic number.

21302323000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21302323000020 is an abundant number, since it is smaller than the sum of its proper divisors (45061130114484).

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

21302323000020 is a wasteful number, since it uses less digits than its factorization.

21302323000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198547049 (or 3198547044 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 21302323000020 its reverse (2000032320312), we get a palindrome (23302355320332).

The spelling of 21302323000020 in words is "twenty-one trillion, three hundred two billion, three hundred twenty-three million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 3198546997 6397093994 9595640991 12794187988 15992734985 19191281982 28786922973 31985469970 38382563964 47978204955 57573845946 63970939940 95956409910 115147691892 118346238889 143934614865 191912819820 236692477778 287869229730 355038716667 473384955556 575738459460 591731194445 710077433334 1065116150001 1183462388890 1420154866668 1775193583335 2130232300002 2366924777780 3550387166670 4260464600004 5325580750005 7100774333340 10651161500010 21302323000020