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31020131142 = 23471113238317
BaseRepresentation
bin11100111000111100…
…011010001101000110
32222001211211221020000
4130320330122031012
51002012123144032
622130033022130
72145464523060
oct347074321506
988054757200
1031020131142
1112179067720
1260186b4946
132c048302b0
141703b16730
15c18484e7c
hex738f1a346

31020131142 has 320 divisors, whose sum is σ = 97394863104. Its totient is φ = 7113173760.

The previous prime is 31020131113. The next prime is 31020131147. The reversal of 31020131142 is 24113102013.

31020131142 is a `hidden beast` number, since 310 + 2 + 0 + 1 + 311 + 42 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31020131147) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3725568 + ... + 3733884.

Almost surely, 231020131142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31020131142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48697431552).

31020131142 is an abundant number, since it is smaller than the sum of its proper divisors (66374731962).

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

31020131142 is a wasteful number, since it uses less digits than its factorization.

31020131142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8385 (or 8376 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31020131142 its reverse (24113102013), we get a palindrome (55133233155).

The spelling of 31020131142 in words is "thirty-one billion, twenty million, one hundred thirty-one thousand, one hundred forty-two".