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150123105135 = 33516317938113
BaseRepresentation
bin1000101111010000001…
…0001100101101101111
3112100111100002220101000
42023310002030231233
54424423003331020
6152544323051343
713563122224233
oct2136402145557
9470440086330
10150123105135
1158737640933
1225117b10b53
1311205c22833
1473a1c785c3
153d897ea090
hex22f408cb6f

150123105135 has 64 divisors (see below), whose sum is σ = 270030067200. Its totient is φ = 79127829504.

The previous prime is 150123105107. The next prime is 150123105151. The reversal of 150123105135 is 531501321051.

150123105135 is a `hidden beast` number, since 1 + 501 + 23 + 1 + 0 + 5 + 135 = 666.

150123105135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 150123105135 - 26 = 150123105071 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 150123105099 and 150123105108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3919839 + ... + 3957951.

It is an arithmetic number, because the mean of its divisors is an integer number (4219219800).

Almost surely, 2150123105135 is an apocalyptic number.

150123105135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

150123105135 is a deficient number, since it is larger than the sum of its proper divisors (119906962065).

150123105135 is a wasteful number, since it uses less digits than its factorization.

150123105135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38469 (or 38463 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

Adding to 150123105135 its reverse (531501321051), we get a palindrome (681624426186).

The spelling of 150123105135 in words is "one hundred fifty billion, one hundred twenty-three million, one hundred five thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 163 179 489 537 815 895 1467 1611 2445 2685 4401 4833 7335 8055 22005 24165 29177 38113 87531 114339 145885 190565 262593 343017 437655 571695 787779 1029051 1312965 1715085 3938895 5145255 6212419 6822227 18637257 20466681 31062095 34111135 55911771 61400043 93186285 102333405 167735313 184200129 279558855 307000215 838676565 921000645 1112023001 3336069003 5560115005 10008207009 16680345015 30024621027 50041035045 150123105135