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12232231000 = 2353111765413
BaseRepresentation
bin10110110010001100…
…10000100001011000
31011120111002201101121
423121012100201120
5200022422343000
65341443055024
7612061151023
oct133106204130
934514081347
1012232231000
115207859220
122454671474
1311cc2c5412
148407d01ba
154b8d44b1a
hex2d9190858

12232231000 has 128 divisors (see below), whose sum is σ = 33062852160. Its totient is φ = 4186368000.

The previous prime is 12232230947. The next prime is 12232231019. The reversal of 12232231000 is 13223221.

It is a super-2 number, since 2×122322310002 (a number of 21 digits) 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 31 ways as a sum of consecutive naturals, for example, 154294 + ... + 219706.

Almost surely, 212232231000 is an apocalyptic number.

12232231000 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 12232231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16531426080).

12232231000 is an abundant number, since it is smaller than the sum of its proper divisors (20830621160).

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

12232231000 is a wasteful number, since it uses less digits than its factorization.

12232231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65462 (or 65448 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12232231000 its reverse (13223221), we get a palindrome (12245454221).

The spelling of 12232231000 in words is "twelve billion, two hundred thirty-two million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 125 136 170 187 200 220 250 275 340 374 425 440 500 550 680 748 850 935 1000 1100 1375 1496 1700 1870 2125 2200 2750 3400 3740 4250 4675 5500 7480 8500 9350 11000 17000 18700 23375 37400 46750 65413 93500 130826 187000 261652 327065 523304 654130 719543 1112021 1308260 1439086 1635325 2224042 2616520 2878172 3270650 3597715 4448084 5560105 5756344 6541300 7195430 8176625 8896168 11120210 12232231 13082600 14390860 16353250 17988575 22240420 24464462 27800525 28781720 32706500 35977150 44480840 48928924 55601050 61161155 65413000 71954300 89942875 97857848 111202100 122322310 139002625 143908600 179885750 222404200 244644620 278005250 305805775 359771500 489289240 556010500 611611550 719543000 1112021000 1223223100 1529028875 2446446200 3058057750 6116115500 12232231000