Search a number
-
+
31112111000 = 2353263118297
BaseRepresentation
bin11100111110011011…
…010010001110011000
32222022020220222212102
4130332123102032120
51002204200023000
622143120302532
72150662402655
oct347633221630
988266828772
1031112111000
1112215a80533
126043471a48
132c1a8c6449
14171201ac2c
15c215a33d5
hex73e6d2398

31112111000 has 64 divisors (see below), whose sum is σ = 73079772480. Its totient is φ = 12397420800.

The previous prime is 31112110987. The next prime is 31112111011. The reversal of 31112111000 is 11121113.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203852 + ... + 322148.

It is an arithmetic number, because the mean of its divisors is an integer number (1141871445).

Almost surely, 231112111000 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 31112111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36539886240).

31112111000 is an abundant number, since it is smaller than the sum of its proper divisors (41967661480).

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

31112111000 is a wasteful number, since it uses less digits than its factorization.

31112111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118581 (or 118567 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 31112111000 its reverse (11121113), we get a palindrome (31123232113).

The spelling of 31112111000 in words is "thirty-one billion, one hundred twelve million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 263 500 526 1000 1052 1315 2104 2630 5260 6575 10520 13150 26300 32875 52600 65750 118297 131500 236594 263000 473188 591485 946376 1182970 2365940 2957425 4731880 5914850 11829700 14787125 23659400 29574250 31112111 59148500 62224222 118297000 124448444 155560555 248896888 311121110 622242220 777802775 1244484440 1555605550 3111211100 3889013875 6222422200 7778027750 15556055500 31112111000