Search a number
-
+
31120000002 = 23271363130109
BaseRepresentation
bin11100111110111001…
…011000010000000010
32222022210202210112200
4130332321120100002
51002213210000002
622144001334030
72151116430660
oct347671302002
988283683480
1031120000002
111221a479673
126046037316
132c1c4291b0
1417130b1c30
15c22110b1c
hex73ee58402

31120000002 has 96 divisors (see below), whose sum is σ = 83120943360. Its totient is φ = 8194193280.

The previous prime is 31119999991. The next prime is 31120000007. The reversal of 31120000002 is 20000002113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (31120000007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1018524 + ... + 1048632.

It is an arithmetic number, because the mean of its divisors is an integer number (865843160).

Almost surely, 231120000002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31120000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41560471680).

31120000002 is an abundant number, since it is smaller than the sum of its proper divisors (52000943358).

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

31120000002 is a wasteful number, since it uses less digits than its factorization.

31120000002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30768 (or 30765 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 31120000002 its reverse (20000002113), we get a palindrome (51120002115).

The spelling of 31120000002 in words is "thirty-one billion, one hundred twenty million, two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 631 819 1262 1638 1893 3786 4417 5679 8203 8834 11358 13251 16406 24609 26502 30109 39753 49218 57421 60218 73827 79506 90327 114842 147654 172263 180654 210763 270981 344526 391417 421526 516789 541962 632289 782834 1033578 1174251 1264578 1896867 2348502 2739919 3522753 3793734 5479838 7045506 8219757 16439514 18998779 24659271 37997558 49318542 56996337 113992674 132991453 170989011 246984127 265982906 341978022 398974359 493968254 740952381 797948718 1196923077 1481904762 1728888889 2222857143 2393846154 3457777778 4445714286 5186666667 10373333334 15560000001 31120000002