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3141132300 = 2232527149157
BaseRepresentation
bin1011101100111001…
…1110000000001100
322002220121001110100
42323032132000030
522413112213200
61235405211100
7140561120055
oct27316360014
98086531410
103141132300
1113720a6209
12737b60a90
133b09ca087
1421b26372c
15135b70d00
hexbb39e00c

3141132300 has 108 divisors (see below), whose sum is σ = 9984579696. Its totient is φ = 825820800.

The previous prime is 3141132299. The next prime is 3141132311. The reversal of 3141132300 is 32311413.

It is a super-2 number, since 2×31411323002 = 19733424252206580000, which contains 22 as substring.

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

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, 39322 + ... + 88478.

It is an arithmetic number, because the mean of its divisors is an integer number (92449812).

Almost surely, 23141132300 is an apocalyptic number.

3141132300 is a gapful number since it is divisible by the number (30) 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 3141132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4992289848).

3141132300 is an abundant number, since it is smaller than the sum of its proper divisors (6843447396).

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

3141132300 is a wasteful number, since it uses less digits than its factorization.

3141132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49248 (or 49238 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3141132300 is about 56045.8053738190. The cubic root of 3141132300 is about 1464.5203460280.

Adding to 3141132300 its reverse (32311413), we get a palindrome (3173443713).

The spelling of 3141132300 in words is "three billion, one hundred forty-one million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 71 75 90 100 142 150 180 213 225 284 300 355 426 450 639 710 852 900 1065 1278 1420 1775 2130 2556 3195 3550 4260 5325 6390 7100 10650 12780 15975 21300 31950 49157 63900 98314 147471 196628 245785 294942 442413 491570 589884 737355 884826 983140 1228925 1474710 1769652 2212065 2457850 2949420 3490147 3686775 4424130 4915700 6980294 7373550 8848260 10470441 11060325 13960588 14747100 17450735 20940882 22120650 31411323 34901470 41881764 44241300 52352205 62822646 69802940 87253675 104704410 125645292 157056615 174507350 209408820 261761025 314113230 349014700 523522050 628226460 785283075 1047044100 1570566150 3141132300