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315038100 = 223521380779
BaseRepresentation
bin10010110001110…
…001100110010100
3210221210121000210
4102301301212110
51121122204400
651132205420
710543531266
oct2261614624
9727717023
10315038100
11151915873
1289609870
13503648a0
142dba9b36
151c9ce950
hex12c71994

315038100 has 72 divisors (see below), whose sum is σ = 981638560. Its totient is φ = 77546880.

The previous prime is 315038093. The next prime is 315038117. The reversal of 315038100 is 1830513.

It is a happy number.

315038100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3150381002 = 198498008903220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 36490 + ... + 44289.

Almost surely, 2315038100 is an apocalyptic number.

315038100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315038100 is an abundant number, since it is smaller than the sum of its proper divisors (666600460).

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

315038100 is a wasteful number, since it uses less digits than its factorization.

315038100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80809 (or 80802 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 315038100 is about 17749.3126627484. The cubic root of 315038100 is about 680.4366428608.

Adding to 315038100 its reverse (1830513), we get a palindrome (316868613).

The spelling of 315038100 in words is "three hundred fifteen million, thirty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 80779 161558 242337 323116 403895 484674 807790 969348 1050127 1211685 1615580 2019475 2100254 2423370 3150381 4038950 4200508 4846740 5250635 6058425 6300762 8077900 10501270 12116850 12601524 15751905 21002540 24233700 26253175 31503810 52506350 63007620 78759525 105012700 157519050 315038100