Search a number
-
+
21000470221129 = 74935232
BaseRepresentation
bin1001100011001100011011…
…00100010101000101001001
32202100121212212200122021011
410301212031210111011021
510223032430334034004
6112355252143043521
74265143141420000
oct461461544250511
982317785618234
1021000470221129
116767281a60033
122432046ba05a1
13b94449b09219
145285dcd07c37
1526640ca32004
hex13198d915149

21000470221129 has 15 divisors (see below), whose sum is σ = 24499352793453. Its totient is φ = 18000210576348.

The previous prime is 21000470221117. The next prime is 21000470221147. The reversal of 21000470221129 is 92112207400012.

The square root of 21000470221129 is 4582627.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 21000470221129 - 221 = 21000468123977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21000470221129.

It is not an unprimeable number, because it can be changed into a prime (21000470221109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 224501962 + ... + 224595484.

Almost surely, 221000470221129 is an apocalyptic number.

21000470221129 is the 4582627-th square number.

21000470221129 is the 2291314-th centered octagonal number.

It is an amenable number.

21000470221129 is a deficient number, since it is larger than the sum of its proper divisors (3498882572324).

21000470221129 is an frugal number, since it uses more digits than its factorization.

21000470221129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187074 (or 93530 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 21000470221129 in words is "twenty-one trillion, four hundred seventy million, two hundred twenty-one thousand, one hundred twenty-nine".

Divisors: 1 7 49 343 2401 93523 654661 4582627 32078389 224548723 8746551529 61225860703 428581024921 3000067174447 21000470221129