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31132012300 = 22526710914259
BaseRepresentation
bin11100111111100111…
…001100111100001100
32222100122101002022121
4130333213030330030
51002224243343200
622145111022324
72151323511154
oct347747147414
988318332277
1031132012300
1112226233694
12604a06a9a4
132c21a7396c
14171491b764
15c231d4e1a
hex73f9ccf0c

31132012300 has 72 divisors (see below), whose sum is σ = 68643731520. Its totient is φ = 12252820800.

The previous prime is 31132012271. The next prime is 31132012309. The reversal of 31132012300 is 321023113.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (31132012309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7307571 + ... + 7311829.

It is an arithmetic number, because the mean of its divisors is an integer number (953385160).

Almost surely, 231132012300 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 31132012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34321865760).

31132012300 is an abundant number, since it is smaller than the sum of its proper divisors (37511719220).

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

31132012300 is a wasteful number, since it uses less digits than its factorization.

31132012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5431 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31132012300 its reverse (321023113), we get a palindrome (31453035413).

The spelling of 31132012300 in words is "thirty-one billion, one hundred thirty-two million, twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 1091 1340 1675 2182 3350 4259 4364 5455 6700 8518 10910 17036 21295 21820 27275 42590 54550 73097 85180 106475 109100 146194 212950 285353 292388 365485 425900 570706 730970 1141412 1426765 1461940 1827425 2853530 3654850 4646569 5707060 7133825 7309700 9293138 14267650 18586276 23232845 28535300 46465690 92931380 116164225 232328450 311320123 464656900 622640246 1245280492 1556600615 3113201230 6226402460 7783003075 15566006150 31132012300