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150113106 = 2321113292011
BaseRepresentation
bin10001111001010…
…00101101010010
3101110110112110200
420330220231102
5301412104411
622521240030
73501640353
oct1074505522
9343415420
10150113106
117780a220
1242333016
132513b530
1415d17d2a
15d2a2e56
hex8f28b52

150113106 has 96 divisors (see below), whose sum is σ = 395478720. Its totient is φ = 40521600.

The previous prime is 150113101. The next prime is 150113113. The reversal of 150113106 is 601311051.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (150113101) 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 47 ways as a sum of consecutive naturals, for example, 73641 + ... + 75651.

It is an arithmetic number, because the mean of its divisors is an integer number (4119570).

Almost surely, 2150113106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150113106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197739360).

150113106 is an abundant number, since it is smaller than the sum of its proper divisors (245365614).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

150113106 is a wasteful number, since it uses less digits than its factorization.

150113106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 150113106 is about 12252.0653769069. The cubic root of 150113106 is about 531.4627988831.

Adding to 150113106 its reverse (601311051), we get a palindrome (751424157).

The spelling of 150113106 in words is "one hundred fifty million, one hundred thirteen thousand, one hundred six".

Divisors: 1 2 3 6 9 11 13 18 22 26 29 33 39 58 66 78 87 99 117 143 174 198 234 261 286 319 377 429 522 638 754 858 957 1131 1287 1914 2011 2262 2574 2871 3393 4022 4147 5742 6033 6786 8294 12066 12441 18099 22121 24882 26143 36198 37323 44242 52286 58319 66363 74646 78429 116638 132726 156858 174957 199089 235287 287573 349914 398178 470574 524871 575146 641509 758147 862719 1049742 1283018 1516294 1725438 1924527 2274441 2588157 3849054 4548882 5176314 5773581 6823323 8339617 11547162 13646646 16679234 25018851 50037702 75056553 150113106