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130673102040 = 233351318151421
BaseRepresentation
bin111100110110010111…
…0010100110011011000
3110111021211111101001000
41321230232110303120
54120104303231130
6140010322025000
712304126016655
oct1715456246330
9414254441030
10130673102040
1150466617708
12213aa1a8160
13c426486b70
146478a40c2c
1535ebec1260
hex1e6cb94cd8

130673102040 has 256 divisors, whose sum is σ = 471683721600. Its totient is φ = 31987353600.

The previous prime is 130673102023. The next prime is 130673102107. The reversal of 130673102040 is 40201376031.

130673102040 is a `hidden beast` number, since 1 + 306 + 7 + 310 + 2 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 130673101995 and 130673102013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2515530 + ... + 2566950.

Almost surely, 2130673102040 is an apocalyptic number.

130673102040 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 130673102040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235841860800).

130673102040 is an abundant number, since it is smaller than the sum of its proper divisors (341010619560).

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

130673102040 is a wasteful number, since it uses less digits than its factorization.

130673102040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51635 (or 51625 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 130673102040 its reverse (40201376031), we get a palindrome (170874478071).

The spelling of 130673102040 in words is "one hundred thirty billion, six hundred seventy-three million, one hundred two thousand, forty".