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21621271331034 = 2329971237397373
BaseRepresentation
bin1001110101010000110000…
…01100101000000011011010
32211112222021120111120012100
410322220120030220003122
510313220330430043114
6113552401441224230
74361041154660214
oct472503014500332
984488246446170
1021621271331034
116986591001351
122512420032076
13c0ab530c248b
1454a691a0b5b4
15277643b11909
hex13aa183280da

21621271331034 has 48 divisors (see below), whose sum is σ = 46897346505672. Its totient is φ = 7199205830784.

The previous prime is 21621271330993. The next prime is 21621271331083. The reversal of 21621271331034 is 43013317212612.

21621271331034 is a `hidden beast` number, since 2 + 1 + 6 + 21 + 271 + 331 + 0 + 34 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17077531455009 + 4543739876025 = 4132497^2 + 2131605^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21621271331034.

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, 221997172 + ... + 222094544.

Almost surely, 221621271331034 is an apocalyptic number.

21621271331034 is an abundant number, since it is smaller than the sum of its proper divisors (25276075174638).

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

21621271331034 is a wasteful number, since it uses less digits than its factorization.

21621271331034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110751 (or 110748 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 21621271331034 its reverse (43013317212612), we get a palindrome (64634588543646).

It can be divided in two parts, 2162127 and 1331034, that added together give a square (3493161 = 18692).

The spelling of 21621271331034 in words is "twenty-one trillion, six hundred twenty-one billion, two hundred seventy-one million, three hundred thirty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 18 997 1994 2991 5982 8973 12373 17946 24746 37119 74238 97373 111357 194746 222714 292119 584238 876357 1752714 12335881 24671762 37007643 74015286 97080881 111022929 194161762 222045858 291242643 582485286 873727929 1204796129 1747455858 2409592258 3614388387 7228776774 10843165161 21686330322 1201181740613 2402363481226 3603545221839 7207090443678 10810635665517 21621271331034