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231122000000 = 2756115561
BaseRepresentation
bin1101011100111111110…
…0011101100010000000
3211002120021211002112002
43113033330131202000
512241314213000000
6254102002323132
722461263404613
oct3271774354200
9732507732462
10231122000000
118a022386461
12389623594a8
1318a43c987a8
14b28755417a
15602a82c8d5
hex35cff1d880

231122000000 has 112 divisors (see below), whose sum is σ = 575545562610. Its totient is φ = 92448000000.

The previous prime is 231121999993. The next prime is 231122000003. The reversal of 231122000000 is 221132.

It is a happy number.

231122000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 188279623744 + 42842376256 = 433912^2 + 206984^2 .

It is not an unprimeable number, because it can be changed into a prime (231122000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1942220 + ... + 2057780.

Almost surely, 2231122000000 is an apocalyptic number.

231122000000 is a gapful number since it is divisible by the number (20) 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 231122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287772781305).

231122000000 is an abundant number, since it is smaller than the sum of its proper divisors (344423562610).

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

231122000000 is an frugal number, since it uses more digits than its factorization.

231122000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115605 (or 115568 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 231122000000 its reverse (221132), we get a palindrome (231122221132).

The spelling of 231122000000 in words is "two hundred thirty-one billion, one hundred twenty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 115561 125000 200000 231122 250000 400000 462244 500000 577805 924488 1000000 1155610 1848976 2000000 2311220 2889025 3697952 4622440 5778050 7395904 9244880 11556100 14445125 14791808 18489760 23112200 28890250 36979520 46224400 57780500 72225625 73959040 92448800 115561000 144451250 184897600 231122000 288902500 361128125 369795200 462244000 577805000 722256250 924488000 1155610000 1444512500 1805640625 1848976000 2311220000 2889025000 3611281250 4622440000 5778050000 7222562500 9244880000 11556100000 14445125000 23112200000 28890250000 46224400000 57780500000 115561000000 231122000000