Search a number
-
+
1231123000 = 235317139521
BaseRepresentation
bin100100101100001…
…0111001000111000
310011210120112021011
41021120113020320
510010131414000
6322055123304
742336241612
oct11130271070
93153515234
101231123000
11581a33a28
122a4373534
131680a0663
14b9711db2
15731372ba
hex49617238

1231123000 has 128 divisors (see below), whose sum is σ = 3078129600. Its totient is φ = 459264000.

The previous prime is 1231122989. The next prime is 1231123039. The reversal of 1231123000 is 3211321.

It is a super-2 number, since 2×12311230002 = 3031327682258000000, which 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, 2362740 + ... + 2363260.

Almost surely, 21231123000 is an apocalyptic number.

1231123000 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 1231123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539064800).

1231123000 is an abundant number, since it is smaller than the sum of its proper divisors (1847006600).

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

1231123000 is a wasteful number, since it uses less digits than its factorization.

1231123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1231123000 is about 35087.3623973077. The cubic root of 1231123000 is about 1071.7672487004.

Adding to 1231123000 its reverse (3211321), we get a palindrome (1234334321).

The spelling of 1231123000 in words is "one billion, two hundred thirty-one million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 139 170 200 250 278 340 425 500 521 556 680 695 850 1000 1042 1112 1390 1700 2084 2125 2363 2605 2780 3400 3475 4168 4250 4726 5210 5560 6950 8500 8857 9452 10420 11815 13025 13900 17000 17375 17714 18904 20840 23630 26050 27800 34750 35428 44285 47260 52100 59075 65125 69500 70856 72419 88570 94520 104200 118150 130250 139000 144838 177140 221425 236300 260500 289676 295375 354280 362095 442850 472600 521000 579352 590750 724190 885700 1107125 1181500 1231123 1448380 1771400 1810475 2214250 2363000 2462246 2896760 3620950 4428500 4924492 6155615 7241900 8857000 9052375 9848984 12311230 14483800 18104750 24622460 30778075 36209500 49244920 61556150 72419000 123112300 153890375 246224600 307780750 615561500 1231123000