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151006015107 = 32172671276823
BaseRepresentation
bin1000110010100010101…
…0001110111010000011
3112102202212110101011100
42030220222032322003
54433230014440412
6153212102545443
713624032643623
oct2145052167203
9472685411140
10151006015107
115904aa601a2
1225323738283
1311316b1447c
147447226883
153ddc09cedc
hex2328a8ee83

151006015107 has 72 divisors (see below), whose sum is σ = 237049819136. Its totient is φ = 92586219264.

The previous prime is 151006015103. The next prime is 151006015123. The reversal of 151006015107 is 701510600151.

It is a happy number.

151006015107 is a `hidden beast` number, since 1 + 5 + 1 + 0 + 0 + 601 + 51 + 0 + 7 = 666.

It is not a de Polignac number, because 151006015107 - 22 = 151006015103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (151006015103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22128498 + ... + 22135320.

Almost surely, 2151006015107 is an apocalyptic number.

151006015107 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

151006015107 is a deficient number, since it is larger than the sum of its proper divisors (86043804029).

151006015107 is a wasteful number, since it uses less digits than its factorization.

151006015107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7057 (or 7037 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 27.

Adding to 151006015107 its reverse (701510600151), we get a palindrome (852516615258).

The spelling of 151006015107 in words is "one hundred fifty-one billion, six million, fifteen thousand, one hundred seven".

Divisors: 1 3 9 17 51 67 127 153 201 289 381 603 867 1139 1143 2159 2601 3417 6477 6823 8509 10251 19363 19431 20469 25527 36703 58089 61407 76581 110109 115991 144653 174267 330327 347973 433959 457141 866521 1043919 1301877 1371423 1971847 2459101 2599563 4114269 5915541 7377303 7771397 7798689 14730857 17746623 22131909 23314191 44192571 58056907 69942573 132113749 132577713 174170721 250424569 396341247 522512163 751273707 986967419 1189023741 2253821121 2960902257 8882706771 16778446123 50335338369 151006015107