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12341131000 = 2353113136191
BaseRepresentation
bin10110111111001011…
…01011011011111000
31011212002000102002221
423133211223123320
5200233312143000
65400333133424
7614552611522
oct133745533370
934762012087
1012341131000
115263279420
12248502a274
131218a33ba3
1485105aa12
154c36a661a
hex2df96b6f8

12341131000 has 128 divisors (see below), whose sum is σ = 32520683520. Its totient is φ = 4342800000.

The previous prime is 12341130979. The next prime is 12341131001. The reversal of 12341131000 is 13114321.

It is a super-2 number, since 2×123411310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12341131001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322905 + ... + 359095.

It is an arithmetic number, because the mean of its divisors is an integer number (254067840).

Almost surely, 212341131000 is an apocalyptic number.

12341131000 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 12341131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16260341760).

12341131000 is an abundant number, since it is smaller than the sum of its proper divisors (20179552520).

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

12341131000 is a wasteful number, since it uses less digits than its factorization.

12341131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36254 (or 36240 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12341131000 its reverse (13114321), we get a palindrome (12354245321).

It can be divided in two parts, 12341 and 131000, that added together give a palindrome (143341).

The spelling of 12341131000 in words is "twelve billion, three hundred forty-one million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 125 155 200 220 248 250 275 310 341 440 500 550 620 682 775 1000 1100 1240 1364 1375 1550 1705 2200 2728 2750 3100 3410 3875 5500 6200 6820 7750 8525 11000 13640 15500 17050 31000 34100 36191 42625 68200 72382 85250 144764 170500 180955 289528 341000 361910 398101 723820 796202 904775 1121921 1447640 1592404 1809550 1990505 2243842 3184808 3619100 3981010 4487684 4523875 5609605 7238200 7962020 8975368 9047750 9952525 11219210 12341131 15924040 18095500 19905050 22438420 24682262 28048025 36191000 39810100 44876840 49364524 49762625 56096050 61705655 79620200 98729048 99525250 112192100 123411310 140240125 199050500 224384200 246822620 280480250 308528275 398101000 493645240 560960500 617056550 1121921000 1234113100 1542641375 2468226200 3085282750 6170565500 12341131000