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1031031131130 = 2335711138594441
BaseRepresentation
bin11110000000011100011…
…11101000101111111010
310122120021022222012212000
433000032033220233322
5113343022432144010
62105352115201430
7134326625005050
oct17001617505772
93576238865760
101031031131130
11368292216010
121479a22a6276
13762c217a8b0
1437c8b7c41d0
151bc45b707c0
hexf00e3e8bfa

1031031131130 has 512 divisors, whose sum is σ = 3696653721600. Its totient is φ = 197485516800.

The previous prime is 1031031131113. The next prime is 1031031131131. The reversal of 1031031131130 is 311311301301.

1031031131130 is a `hidden beast` number, since 1 + 0 + 3 + 10 + 311 + 311 + 30 = 666.

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 (1031031131131) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 232159710 + ... + 232164150.

It is an arithmetic number, because the mean of its divisors is an integer number (7220026800).

Almost surely, 21031031131130 is an apocalyptic number.

1031031131130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031031131130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848326860800).

1031031131130 is an abundant number, since it is smaller than the sum of its proper divisors (2665622590470).

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

1031031131130 is a wasteful number, since it uses less digits than its factorization.

1031031131130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5347 (or 5341 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1031031131130 its reverse (311311301301), we get a palindrome (1342342432431).

The spelling of 1031031131130 in words is "one trillion, thirty-one billion, thirty-one million, one hundred thirty-one thousand, one hundred thirty".