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31133243000 = 2353373492411
BaseRepresentation
bin11100111111101011…
…111001011001111000
32222100201200121112002
4130333223321121320
51002230102234000
622145153240132
72151340125206
oct347753713170
988321617462
1031133243000
11122269a42a2
12604a563048
132c220b4ba2
141714b5c076
15c233798d5
hex73faf9678

31133243000 has 128 divisors (see below), whose sum is σ = 75066264000. Its totient is φ = 12076992000.

The previous prime is 31133242969. The next prime is 31133243017. The reversal of 31133243000 is 34233113.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 12911795 + ... + 12914205.

Almost surely, 231133243000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31133243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37533132000).

31133243000 is an abundant number, since it is smaller than the sum of its proper divisors (43933021000).

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

31133243000 is a wasteful number, since it uses less digits than its factorization.

31133243000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 31133243000 its reverse (34233113), we get a palindrome (31167476113).

The spelling of 31133243000 in words is "thirty-one billion, one hundred thirty-three million, two hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 349 370 500 698 740 925 1000 1396 1480 1745 1850 2411 2792 3490 3700 4625 4822 6980 7400 8725 9250 9644 12055 12913 13960 17450 18500 19288 24110 25826 34900 37000 43625 48220 51652 60275 64565 69800 87250 89207 96440 103304 120550 129130 174500 178414 241100 258260 301375 322825 349000 356828 446035 482200 516520 602750 645650 713656 841439 892070 1205500 1291300 1614125 1682878 1784140 2230175 2411000 2582600 3228250 3365756 3568280 4207195 4460350 6456500 6731512 8414390 8920700 11150875 12913000 16828780 17841400 21035975 22301750 31133243 33657560 42071950 44603500 62266486 84143900 89207000 105179875 124532972 155666215 168287800 210359750 249065944 311332430 420719500 622664860 778331075 841439000 1245329720 1556662150 3113324300 3891655375 6226648600 7783310750 15566621500 31133243000