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1141231000 = 235371312541
BaseRepresentation
bin100010000000101…
…1100110110011000
32221112102112121211
41010001130312120
54314123343000
6305124312504
740165206040
oct10401346630
92845375554
101141231000
11536216818
1227a242734
13152588920
14ab7d2720
156a2cc7ba
hex4405cd98

1141231000 has 128 divisors (see below), whose sum is σ = 3287007360. Its totient is φ = 361152000.

The previous prime is 1141230989. The next prime is 1141231031. The reversal of 1141231000 is 1321411.

1141231000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11412310002 = 2604816390722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84730 + ... + 97270.

It is an arithmetic number, because the mean of its divisors is an integer number (25679745).

Almost surely, 21141231000 is an apocalyptic number.

1141231000 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 1141231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643503680).

1141231000 is an abundant number, since it is smaller than the sum of its proper divisors (2145776360).

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

1141231000 is a wasteful number, since it uses less digits than its factorization.

1141231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12582 (or 12568 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1141231000 is about 33782.1106504611. The cubic root of 1141231000 is about 1045.0198022849.

Adding to 1141231000 its reverse (1321411), we get a palindrome (1142552411).

The spelling of 1141231000 in words is "one billion, one hundred forty-one million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1625 1750 1820 2275 2600 3250 3500 3640 4550 6500 7000 9100 11375 12541 13000 18200 22750 25082 45500 50164 62705 87787 91000 100328 125410 163033 175574 250820 313525 326066 351148 438935 501640 627050 652132 702296 815165 877870 1141231 1254100 1304264 1567625 1630330 1755740 2194675 2282462 2508200 3135250 3260660 3511480 4075825 4389350 4564924 5706155 6270500 6521320 8151650 8778700 9129848 10973375 11412310 12541000 16303300 17557400 20379125 21946750 22824620 28530775 32606600 40758250 43893500 45649240 57061550 81516500 87787000 114123100 142653875 163033000 228246200 285307750 570615500 1141231000