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150113100 = 22352661757
BaseRepresentation
bin10001111001010…
…00101101001100
3101110110112110110
420330220231030
5301412104400
622521240020
73501640344
oct1074505514
9343415413
10150113100
117780a215
1242333010
132513b527
1415d17d24
15d2a2e50
hex8f28b4c

150113100 has 72 divisors (see below), whose sum is σ = 435558928. Its totient is φ = 39916800.

The previous prime is 150113083. The next prime is 150113101. The reversal of 150113100 is 1311051.

It is a super-2 number, since 2×1501131002 = 45067885583220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 197922 + ... + 198678.

Almost surely, 2150113100 is an apocalyptic number.

150113100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217779464).

150113100 is an abundant number, since it is smaller than the sum of its proper divisors (285445828).

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

150113100 is a wasteful number, since it uses less digits than its factorization.

150113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 12.

The square root of 150113100 is about 12252.0651320502. The cubic root of 150113100 is about 531.4627918023.

Adding to 150113100 its reverse (1311051), we get a palindrome (151424151).

The spelling of 150113100 in words is "one hundred fifty million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 661 757 1322 1514 1983 2271 2644 3028 3305 3785 3966 4542 6610 7570 7932 9084 9915 11355 13220 15140 16525 18925 19830 22710 33050 37850 39660 45420 49575 56775 66100 75700 99150 113550 198300 227100 500377 1000754 1501131 2001508 2501885 3002262 5003770 6004524 7505655 10007540 12509425 15011310 25018850 30022620 37528275 50037700 75056550 150113100