Search a number
-
+
151055818281 = 321295532
BaseRepresentation
bin1000110010101110100…
…0001101111000101001
3112102220100011122021100
42030223220031320221
54433330242141111
6153221042232013
713625206161444
oct2145350157051
9472810148240
10151055818281
1159076087045
1225338355609
13113242310c4
14744daac65b
153de1639756
hex232ba0de29

151055818281 has 9 divisors (see below), whose sum is σ = 218193421719. Its totient is φ = 100703101536.

The previous prime is 151055818163. The next prime is 151055818337. The reversal of 151055818281 is 182818550151.

The square root of 151055818281 is 388659.

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

151055818281 is a `hidden beast` number, since 1 + 5 + 1 + 0 + 558 + 18 + 2 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58293225 + 150997525056 = 7635^2 + 388584^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2k-151055818281 is a prime.

It is a super-2 number, since 2×1510558182812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (151055817281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1101201 + ... + 1230753.

Almost surely, 2151055818281 is an apocalyptic number.

151055818281 is the 388659-th square number.

151055818281 is the 194330-th centered octagonal number.

It is an amenable number.

151055818281 is a deficient number, since it is larger than the sum of its proper divisors (67137603438).

151055818281 is an frugal number, since it uses more digits than its factorization.

151055818281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259112 (or 129556 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 45.

The spelling of 151055818281 in words is "one hundred fifty-one billion, fifty-five million, eight hundred eighteen thousand, two hundred eighty-one".

Divisors: 1 3 9 129553 388659 1165977 16783979809 50351939427 151055818281