Search a number
-
+
2969051121 = 324124432
BaseRepresentation
bin1011000011111000…
…0001111111110001
321122220210102110100
42300332001333301
522040034113441
61210341023013
7133401342501
oct26076017761
97586712410
102969051121
111293a52063
126aa3b4a69
133841696aa
1420246ba01
151259cdcb6
hexb0f81ff1

2969051121 has 27 divisors (see below), whose sum is σ = 4405726507. Its totient is φ = 1926731040.

The previous prime is 2969051089. The next prime is 2969051167. The reversal of 2969051121 is 1211509692.

The square root of 2969051121 is 54489.

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

It can be written as a sum of positive squares in only one way, i.e., 143065521 + 2825985600 = 11961^2 + 53160^2 .

It is not a de Polignac number, because 2969051121 - 25 = 2969051089 is a prime.

It is a super-2 number, since 2×29690511212 = 17630529118222713282, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2969051171) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6701926 + ... + 6702368.

Almost surely, 22969051121 is an apocalyptic number.

2969051121 is the 54489-th square number.

2969051121 is the 27245-th centered octagonal number.

It is an amenable number.

2969051121 is a deficient number, since it is larger than the sum of its proper divisors (1436675386).

2969051121 is an frugal number, since it uses more digits than its factorization.

2969051121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The cubic root of 2969051121 is about 1437.2728607569.

Multiplying 2969051121 by its sum of digits (36), we get a square (106885840356 = 3269342).

The spelling of 2969051121 in words is "two billion, nine hundred sixty-nine million, fifty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 41 123 369 443 1329 1681 3987 5043 15129 18163 54489 163467 196249 588747 744683 1766241 2234049 6702147 8046209 24138627 72415881 329894569 989683707 2969051121