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151015340525 = 5272177251637
BaseRepresentation
bin1000110010100100110…
…1110011100111101101
3112102210112000011020012
42030221031303213231
54433234411344100
6153213034503005
713624205133500
oct2145115634755
9472715004205
10151015340525
115905524a555
1225326894a65
1311318a2ac7a
147448573137
153ddcce1135
hex23293739ed

151015340525 has 36 divisors (see below), whose sum is σ = 230645598228. Its totient is φ = 97461987840.

The previous prime is 151015340521. The next prime is 151015340551. The reversal of 151015340525 is 525043510151.

It can be written as a sum of positive squares in 6 ways, for example, as 5040148036 + 145975192489 = 70994^2 + 382067^2 .

It is not a de Polignac number, because 151015340525 - 22 = 151015340521 is a prime.

It is a super-3 number, since 3×1510153405253 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 151015340491 and 151015340500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151015340521) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3604994 + ... + 3646643.

It is an arithmetic number, because the mean of its divisors is an integer number (6406822173).

Almost surely, 2151015340525 is an apocalyptic number.

It is an amenable number.

151015340525 is a deficient number, since it is larger than the sum of its proper divisors (79630257703).

151015340525 is a wasteful number, since it uses less digits than its factorization.

151015340525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7251678 (or 7251666 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 32.

Adding to 151015340525 its reverse (525043510151), we get a palindrome (676058850676).

The spelling of 151015340525 in words is "one hundred fifty-one billion, fifteen million, three hundred forty thousand, five hundred twenty-five".

Divisors: 1 5 7 17 25 35 49 85 119 175 245 425 595 833 1225 2975 4165 20825 7251637 36258185 50761459 123277829 181290925 253807295 355330213 616389145 862944803 1269036475 1776651065 3081945725 4314724015 6040613621 8883255325 21573620075 30203068105 151015340525