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31122230000 = 24548093847
BaseRepresentation
bin11100111111000001…
…111000101011110000
32222022221222002112012
4130333001320223300
51002214242330000
622144121222052
72151144406301
oct347701705360
988287862465
1031122230000
1112220762044
126046931928
132c1ca2a214
1417134d27a8
15c22401735
hex73f078af0

31122230000 has 100 divisors (see below), whose sum is σ = 75462781680. Its totient is φ = 12430272000.

The previous prime is 31122229981. The next prime is 31122230119. The reversal of 31122230000 is 3222113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 8088077 + ... + 8091923.

Almost surely, 231122230000 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 31122230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37731390840).

31122230000 is an abundant number, since it is smaller than the sum of its proper divisors (44340551680).

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

31122230000 is an equidigital number, since it uses as much as digits as its factorization.

31122230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4684 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 31122230000 its reverse (3222113), we get a palindrome (31125452113).

The spelling of 31122230000 in words is "thirty-one billion, one hundred twenty-two million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 809 1000 1250 1618 2000 2500 3236 3847 4045 5000 6472 7694 8090 10000 12944 15388 16180 19235 20225 30776 32360 38470 40450 61552 64720 76940 80900 96175 101125 153880 161800 192350 202250 307760 323600 384700 404500 480875 505625 769400 809000 961750 1011250 1538800 1618000 1923500 2022500 2404375 3112223 3847000 4045000 4808750 6224446 7694000 8090000 9617500 12448892 15561115 19235000 24897784 31122230 38470000 49795568 62244460 77805575 124488920 155611150 248977840 311222300 389027875 622444600 778055750 1244889200 1556111500 1945139375 3112223000 3890278750 6224446000 7780557500 15561115000 31122230000