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151145841 = 37211211443
BaseRepresentation
bin10010000001001…
…00110101110001
3101112102000010010
421000210311301
5302143131331
622555325133
73513501300
oct1100446561
9345360103
10151145841
1178355120
12427507a9
1325410612
1416106437
15d408e46
hex9024d71

151145841 has 48 divisors (see below), whose sum is σ = 257534208. Its totient is φ = 77968800.

The previous prime is 151145833. The next prime is 151145899. The reversal of 151145841 is 148541151.

It is not a de Polignac number, because 151145841 - 23 = 151145833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 151145799 and 151145808.

It is not an unprimeable number, because it can be changed into a prime (151145341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340966 + ... + 341408.

It is an arithmetic number, because the mean of its divisors is an integer number (5365296).

Almost surely, 2151145841 is an apocalyptic number.

151145841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

151145841 is a deficient number, since it is larger than the sum of its proper divisors (106388367).

151145841 is a wasteful number, since it uses less digits than its factorization.

151145841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 675 counting only the distinct ones).

The product of its digits is 3200, while the sum is 30.

The square root of 151145841 is about 12294.1384814065. The cubic root of 151145841 is about 532.6787849932.

Adding to 151145841 its reverse (148541151), we get a palindrome (299686992).

The spelling of 151145841 in words is "one hundred fifty-one million, one hundred forty-five thousand, eight hundred forty-one".

Divisors: 1 3 7 11 21 33 49 77 147 211 231 443 539 633 1329 1477 1617 2321 3101 4431 4873 6963 9303 10339 14619 16247 21707 31017 34111 48741 65121 93473 102333 113729 238777 280419 341187 654311 716331 1028203 1962933 3084609 4580177 7197421 13740531 21592263 50381947 151145841