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151132023 = 327217191061
BaseRepresentation
bin10010000001000…
…01011101110111
3101112101022011100
421000201131313
5302142211043
622555141143
73513413100
oct1100413567
9345338140
10151132023
11783457a9
12427447b3
1325407243
14161013a7
15d404cd3
hex9021777

151132023 has 72 divisors (see below), whose sum is σ = 283299120. Its totient is φ = 76930560.

The previous prime is 151131983. The next prime is 151132039. The reversal of 151132023 is 320231151.

It is not a de Polignac number, because 151132023 - 213 = 151123831 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 151131987 and 151132005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151132063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141913 + ... + 142973.

It is an arithmetic number, because the mean of its divisors is an integer number (3934710).

Almost surely, 2151132023 is an apocalyptic number.

151132023 is a deficient number, since it is larger than the sum of its proper divisors (132167097).

151132023 is a wasteful number, since it uses less digits than its factorization.

151132023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 151132023 is about 12293.5764934375. The cubic root of 151132023 is about 532.6625517099.

Adding to 151132023 its reverse (320231151), we get a palindrome (471363174).

The spelling of 151132023 in words is "one hundred fifty-one million, one hundred thirty-two thousand, twenty-three".

Divisors: 1 3 7 9 17 19 21 49 51 57 63 119 133 147 153 171 323 357 399 441 833 931 969 1061 1071 1197 2261 2499 2793 2907 3183 6783 7427 7497 8379 9549 15827 18037 20159 20349 22281 47481 51989 54111 60477 66843 126259 141113 142443 155967 162333 181431 342703 378777 423339 467901 883813 987791 1028109 1136331 1270017 2398921 2651439 2963373 3084327 7196763 7954317 8890119 16792447 21590289 50377341 151132023