Search a number
-
+
31113001020 = 22351274083071
BaseRepresentation
bin11100111110011110…
…101011100000111100
32222022022121012202010
4130332132223200330
51002204412013040
622143151331220
72151003100533
oct347636534074
988268535663
1031113001020
1112216529192
126043820b10
132c1ab4859a
1417121ad31a
15c216cbe80
hex73e7ab83c

31113001020 has 48 divisors (see below), whose sum is σ = 87802380288. Its totient is φ = 8231469120.

The previous prime is 31113001001. The next prime is 31113001021. The reversal of 31113001020 is 2010031113.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 31113000987 and 31113001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31113001021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2033916 + ... + 2049155.

It is an arithmetic number, because the mean of its divisors is an integer number (1829216256).

Almost surely, 231113001020 is an apocalyptic number.

31113001020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31113001020 is an abundant number, since it is smaller than the sum of its proper divisors (56689379268).

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

31113001020 is a wasteful number, since it uses less digits than its factorization.

31113001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083210 (or 4083208 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 31113001020 its reverse (2010031113), we get a palindrome (33123032133).

The spelling of 31113001020 in words is "thirty-one billion, one hundred thirteen million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 7620 4083071 8166142 12249213 16332284 20415355 24498426 40830710 48996852 61246065 81661420 122492130 244984260 518550017 1037100034 1555650051 2074200068 2592750085 3111300102 5185500170 6222600204 7778250255 10371000340 15556500510 31113001020