Search a number
-
+
31000121302320 = 24325294793099541
BaseRepresentation
bin1110000110001110001110…
…01101111101110100110000
311001202120201202100222110200
413003013013031331310300
513030401222023133240
6145533131545355200
76346453622242302
oct703070715756460
9131676652328420
1031000121302320
1199720943381a5
123588045a98b00
13143b3b68996c1
147925b196b972
1538b5b7001930
hex1c31c737dd30

31000121302320 has 240 divisors, whose sum is σ = 107923572806400. Its totient is φ = 7964974725120.

The previous prime is 31000121302301. The next prime is 31000121302327. The reversal of 31000121302320 is 2320312100013.

31000121302320 is a `hidden beast` number, since 31 + 0 + 0 + 0 + 12 + 1 + 302 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×310001213023202 (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 31000121302293 and 31000121302302.

It is not an unprimeable number, because it can be changed into a prime (31000121302327) 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, 8451750 + ... + 11551290.

It is an arithmetic number, because the mean of its divisors is an integer number (449681553360).

Almost surely, 231000121302320 is an apocalyptic number.

31000121302320 is a gapful number since it is divisible by the number (30) 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 31000121302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53961786403200).

31000121302320 is an abundant number, since it is smaller than the sum of its proper divisors (76923451504080).

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

31000121302320 is a wasteful number, since it uses less digits than its factorization.

31000121302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100068 (or 3100059 counting only the distinct ones).

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

Adding to 31000121302320 its reverse (2320312100013), we get a palindrome (33320433402333).

The spelling of 31000121302320 in words is "thirty-one trillion, one hundred twenty-one million, three hundred two thousand, three hundred twenty".