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671300100 = 2232523532113
BaseRepresentation
bin101000000000110…
…011101000000100
31201210011120121200
4220000303220010
52333323100400
6150340142500
722430646102
oct5000635004
91653146550
10671300100
11314a27779
12168997a30
13a91010c3
1465226c72
153de03b00
hex28033a04

671300100 has 108 divisors (see below), whose sum is σ = 2111112276. Its totient is φ = 178421760.

The previous prime is 671300089. The next prime is 671300141. The reversal of 671300100 is 1003176.

It can be written as a sum of positive squares in 6 ways, for example, as 193265604 + 478034496 = 13902^2 + 21864^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 316644 + ... + 318756.

Almost surely, 2671300100 is an apocalyptic number.

671300100 is a gapful number since it is divisible by the number (60) 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 671300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055556138).

671300100 is an abundant number, since it is smaller than the sum of its proper divisors (1439812176).

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

671300100 is a wasteful number, since it uses less digits than its factorization.

671300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 671300100 is about 25909.4596624476. The cubic root of 671300100 is about 875.5996325188.

Adding to 671300100 its reverse (1003176), we get a palindrome (672303276).

The spelling of 671300100 in words is "six hundred seventy-one million, three hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 353 450 706 900 1059 1412 1765 2113 2118 3177 3530 4226 4236 5295 6339 6354 7060 8452 8825 10565 10590 12678 12708 15885 17650 19017 21130 21180 25356 26475 31695 31770 35300 38034 42260 52825 52950 63390 63540 76068 79425 95085 105650 105900 126780 158475 158850 190170 211300 316950 317700 380340 475425 633900 745889 950850 1491778 1901700 2237667 2983556 3729445 4475334 6713001 7458890 8950668 11188335 13426002 14917780 18647225 22376670 26852004 33565005 37294450 44753340 55941675 67130010 74588900 111883350 134260020 167825025 223766700 335650050 671300100