Search a number
-
+
31010312201130 = 23255389197370793
BaseRepresentation
bin1110000110100001001101…
…01001001010001110101010
311001210120000222100021112100
413003100212221022032222
513031033104410414010
6145541535111554230
76350264305404453
oct703204651121652
9131716028307470
1031010312201130
119976443889319
12358a00a98b976
13143c34bca5742
14792c9b1c412a
1538b9b1a1c2c0
hex1c3426a4a3aa

31010312201130 has 192 divisors, whose sum is σ = 83492990174880. Its totient is φ = 7981484679168.

The previous prime is 31010312201117. The next prime is 31010312201131. The reversal of 31010312201130 is 3110221301013.

31010312201130 is a `hidden beast` number, since 3 + 10 + 10 + 312 + 201 + 130 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 9698359979961 + 21311952221169 = 3114219^2 + 4616487^2 .

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

It is not an unprimeable number, because it can be changed into a prime (31010312201131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83447014 + ... + 83817806.

Almost surely, 231010312201130 is an apocalyptic number.

31010312201130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31010312201130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41746495087440).

31010312201130 is an abundant number, since it is smaller than the sum of its proper divisors (52482677973750).

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

31010312201130 is a wasteful number, since it uses less digits than its factorization.

31010312201130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371145 (or 371142 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31010312201130 its reverse (3110221301013), we get a palindrome (34120533502143).

The spelling of 31010312201130 in words is "thirty-one trillion, ten billion, three hundred twelve million, two hundred one thousand, one hundred thirty".