Search a number
-
+
315023100 = 223527150011
BaseRepresentation
bin10010110001101…
…101111011111100
3210221202211110020
4102301231323330
51121121214400
651132012140
710543436460
oct2261557374
9727684406
10315023100
11151905577
1289601050
135035ab02
142dba44a0
151c9ca2a0
hex12c6defc

315023100 has 72 divisors (see below), whose sum is σ = 1041683328. Its totient is φ = 72004800.

The previous prime is 315023099. The next prime is 315023161. The reversal of 315023100 is 1320513.

It is a happy number.

It is a super-2 number, since 2×3150231002 = 198479107067220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 315023100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72906 + ... + 77105.

It is an arithmetic number, because the mean of its divisors is an integer number (14467824).

Almost surely, 2315023100 is an apocalyptic number.

315023100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315023100 is an abundant number, since it is smaller than the sum of its proper divisors (726660228).

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

315023100 is a wasteful number, since it uses less digits than its factorization.

315023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150035 (or 150028 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 315023100 is about 17748.8901061447. The cubic root of 315023100 is about 680.4258434140.

Adding to 315023100 its reverse (1320513), we get a palindrome (316343613).

The spelling of 315023100 in words is "three hundred fifteen million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 150011 300022 450033 600044 750055 900066 1050077 1500110 1800132 2100154 2250165 3000220 3150231 3750275 4200308 4500330 5250385 6300462 7500550 9000660 10500770 11250825 12600924 15001100 15751155 21001540 22501650 26251925 31502310 45003300 52503850 63004620 78755775 105007700 157511550 315023100