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231121131000 = 23353611262957
BaseRepresentation
bin1101011100111111100…
…1001001010111111000
3211002120020011221110220
43113033321021113320
512241314002143000
6254101531540040
722461253125234
oct3271771112770
9732506157426
10231121131000
118a021942581
1238961bba620
1318a43a530a6
14b2873a95c4
15602a70a1a0
hex35cfe495f8

231121131000 has 128 divisors (see below), whose sum is σ = 732919786560. Its totient is φ = 60621888000.

The previous prime is 231121130993. The next prime is 231121131013. The reversal of 231121131000 is 131121132.

It is a happy number.

231121131000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2311211310002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448479 + ... + 814478.

Almost surely, 2231121131000 is an apocalyptic number.

231121131000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231121131000 is an abundant number, since it is smaller than the sum of its proper divisors (501798655560).

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

231121131000 is a wasteful number, since it uses less digits than its factorization.

231121131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263042 (or 1263028 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 231121131000 its reverse (131121132), we get a palindrome (231252252132).

The spelling of 231121131000 in words is "two hundred thirty-one billion, one hundred twenty-one million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 61 75 100 120 122 125 150 183 200 244 250 300 305 366 375 488 500 600 610 732 750 915 1000 1220 1464 1500 1525 1830 2440 3000 3050 3660 4575 6100 7320 7625 9150 12200 15250 18300 22875 30500 36600 45750 61000 91500 183000 1262957 2525914 3788871 5051828 6314785 7577742 10103656 12629570 15155484 18944355 25259140 30310968 31573925 37888710 50518280 63147850 75777420 77040377 94721775 126295700 151554840 154080754 157869625 189443550 231121131 252591400 308161508 315739250 378887100 385201885 462242262 473608875 616323016 631478500 757774200 770403770 924484524 947217750 1155605655 1262957000 1540807540 1848969048 1894435500 1926009425 2311211310 3081615080 3788871000 3852018850 4622422620 5778028275 7704037700 9244845240 9630047125 11556056550 15408075400 19260094250 23112113100 28890141375 38520188500 46224226200 57780282750 77040377000 115560565500 231121131000