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150253100 = 22522117121
BaseRepresentation
bin10001111010010…
…10111000101100
3101110201122111122
420331022320230
5301431044400
622524240112
73503062454
oct1075127054
9343648448
10150253100
11778a5418
12423a0038
132518a17a
1415d52d64
15d2ce685
hex8f4ae2c

150253100 has 36 divisors (see below), whose sum is σ = 327640488. Its totient is φ = 59808000.

The previous prime is 150253099. The next prime is 150253109. The reversal of 150253100 is 1352051.

150253100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1502531002 = 45151988119220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (150253109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17540 + ... + 24660.

Almost surely, 2150253100 is an apocalyptic number.

150253100 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 150253100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163820244).

150253100 is an abundant number, since it is smaller than the sum of its proper divisors (177387388).

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

150253100 is a wasteful number, since it uses less digits than its factorization.

150253100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7346 (or 7339 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 150253100 is about 12257.7771231166. Note that the first 3 decimals coincide. The cubic root of 150253100 is about 531.6279598703.

The spelling of 150253100 in words is "one hundred fifty million, two hundred fifty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211 422 844 1055 2110 4220 5275 7121 10550 14242 21100 28484 35605 71210 142420 178025 356050 712100 1502531 3005062 6010124 7512655 15025310 30050620 37563275 75126550 150253100