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31101320340 = 22325473676279
BaseRepresentation
bin11100111101110010…
…000111110010010100
32222021111121202212100
4130331302013302110
51002143414222330
622142053122100
72150501601216
oct347562076224
988244552770
1031101320340
111220a980332
12603b929330
132c185b8a3c
14171080c5b6
15c20671060
hex73dc87c94

31101320340 has 72 divisors (see below), whose sum is σ = 96347946240. Its totient is φ = 8117221824.

The previous prime is 31101320339. The next prime is 31101320353. The reversal of 31101320340 is 4302310113.

31101320340 is a `hidden beast` number, since 3 + 1 + 1 + 0 + 1 + 320 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 1829680 + ... + 1846599.

It is an arithmetic number, because the mean of its divisors is an integer number (1338165920).

Almost surely, 231101320340 is an apocalyptic number.

31101320340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31101320340 is an abundant number, since it is smaller than the sum of its proper divisors (65246625900).

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

31101320340 is a wasteful number, since it uses less digits than its factorization.

31101320340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676341 (or 3676336 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31101320340 its reverse (4302310113), we get a palindrome (35403630453).

The spelling of 31101320340 in words is "thirty-one billion, one hundred one million, three hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 8460 3676279 7352558 11028837 14705116 18381395 22057674 33086511 36762790 44115348 55144185 66173022 73525580 110288370 132346044 165432555 172785113 220576740 330865110 345570226 518355339 661730220 691140452 863925565 1036710678 1555066017 1727851130 2073421356 2591776695 3110132034 3455702260 5183553390 6220264068 7775330085 10367106780 15550660170 31101320340