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150355100 = 22527347619
BaseRepresentation
bin10001111011000…
…11110010011100
3101110220211102102
420331203302130
5301442330400
622530344232
73503666030
oct1075436234
9343824372
10150355100
1177965015
124242b078
13251c471c
1415d7c1c0
15d2ee9d5
hex8f63c9c

150355100 has 72 divisors (see below), whose sum is σ = 374559360. Its totient is φ = 51318720.

The previous prime is 150355099. The next prime is 150355103. The reversal of 150355100 is 1553051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150355103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242591 + ... + 243209.

Almost surely, 2150355100 is an apocalyptic number.

150355100 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 150355100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187279680).

150355100 is an abundant number, since it is smaller than the sum of its proper divisors (224204260).

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

150355100 is a wasteful number, since it uses less digits than its factorization.

150355100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 20.

The square root of 150355100 is about 12261.9370411041. The cubic root of 150355100 is about 531.7482320111.

The spelling of 150355100 in words is "one hundred fifty million, three hundred fifty-five thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 347 350 619 694 700 1238 1388 1735 2429 2476 3095 3470 4333 4858 6190 6940 8666 8675 9716 12145 12380 15475 17332 17350 21665 24290 30950 34700 43330 48580 60725 61900 86660 108325 121450 214793 216650 242900 429586 433300 859172 1073965 1503551 2147930 3007102 4295860 5369825 6014204 7517755 10739650 15035510 21479300 30071020 37588775 75177550 150355100