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130522100040 = 233251634435021
BaseRepresentation
bin111100110001110111…
…0010011000101001000
3110110220022100200020100
41321203232103011020
54114302124200130
6135543325325400
712300313354623
oct1714356230510
9413808320210
10130522100040
1150399360672
1221367706860
13c4010c6b77
146462974dba
1535ddae4c60
hex1e63b93148

130522100040 has 192 divisors, whose sum is σ = 427847883840. Its totient is φ = 34507399680.

The previous prime is 130522100039. The next prime is 130522100053. The reversal of 130522100040 is 40001225031.

130522100040 is a `hidden beast` number, since 1 + 3 + 0 + 522 + 100 + 0 + 40 = 666.

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 = 130522099986 and 130522100022.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25992730 + ... + 25997750.

It is an arithmetic number, because the mean of its divisors is an integer number (2228374395).

Almost surely, 2130522100040 is an apocalyptic number.

130522100040 is a gapful number since it is divisible by the number (10) 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 130522100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213923941920).

130522100040 is an abundant number, since it is smaller than the sum of its proper divisors (297325783800).

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

130522100040 is a wasteful number, since it uses less digits than its factorization.

130522100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5644 (or 5637 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 130522100040 its reverse (40001225031), we get a palindrome (170523325071).

The spelling of 130522100040 in words is "one hundred thirty billion, five hundred twenty-two million, one hundred thousand, forty".