Search a number
-
+
211225525419 = 31721987122611
BaseRepresentation
bin1100010010111000000…
…1011011110010101011
3202012012200002110110010
43010232001123302223
511430042213303134
6241011412023003
721155236225236
oct3045601336253
9665180073403
10211225525419
1181642336637
1234b2b001a63
1316bc2b9a1cc
14a31acda41d
155763c10ce9
hex312e05bcab

211225525419 has 24 divisors (see below), whose sum is σ = 299328261568. Its totient is φ = 132465882240.

The previous prime is 211225525369. The next prime is 211225525429. The reversal of 211225525419 is 914525522112.

211225525419 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211225525419 - 28 = 211225525163 is a prime.

It is a super-2 number, since 2×2112255254192 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211225525429) 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 23 ways as a sum of consecutive naturals, for example, 1661424 + ... + 1784034.

Almost surely, 2211225525419 is an apocalyptic number.

211225525419 is a deficient number, since it is larger than the sum of its proper divisors (88102736149).

211225525419 is a wasteful number, since it uses less digits than its factorization.

211225525419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124635 (or 124618 counting only the distinct ones).

The product of its digits is 72000, while the sum is 39.

The spelling of 211225525419 in words is "two hundred eleven billion, two hundred twenty-five million, five hundred twenty-five thousand, four hundred nineteen".

Divisors: 1 3 17 51 289 867 1987 5961 33779 101337 122611 367833 574243 1722729 2084387 6253161 35434579 106303737 243628057 730884171 4141676969 12425030907 70408508473 211225525419