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130022001 = 3217978761
BaseRepresentation
bin1111011111111…
…11101001110001
3100001122210122200
413233333221301
5231241201001
620522453413
73136111614
oct757775161
9301583580
10130022001
11674374aa
1237664269
1320c257c5
14133a817b
15b635086
hex7bffa71

130022001 has 24 divisors (see below), whose sum is σ = 200930184. Its totient is φ = 80732160.

The previous prime is 130021987. The next prime is 130022021. The reversal of 130022001 is 100220031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9000000 + 121022001 = 3000^2 + 11001^2 .

It is not a de Polignac number, because 130022001 - 27 = 130021873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (130022021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10461 + ... + 19221.

It is an arithmetic number, because the mean of its divisors is an integer number (8372091).

Almost surely, 2130022001 is an apocalyptic number.

It is an amenable number.

130022001 is a deficient number, since it is larger than the sum of its proper divisors (70908183).

130022001 is a wasteful number, since it uses less digits than its factorization.

130022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8881 (or 8878 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 130022001 is about 11402.7190178483. The cubic root of 130022001 is about 506.6082778879.

Adding to 130022001 its reverse (100220031), we get a palindrome (230242032).

The spelling of 130022001 in words is "one hundred thirty million, twenty-two thousand, one".

Divisors: 1 3 9 17 51 97 153 291 873 1649 4947 8761 14841 26283 78849 148937 446811 849817 1340433 2549451 7648353 14446889 43340667 130022001