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130000101 = 371134651
BaseRepresentation
bin1111011111110…
…10010011100101
3100001121200121120
413233322103211
5231240000401
620522204153
73135661020
oct757722345
9301550546
10130000101
1167422000
1237653659
1320c1884a
14133a01b7
15b62d836
hex7bfa4e5

130000101 has 32 divisors (see below), whose sum is σ = 217936896. Its totient is φ = 67518000.

The previous prime is 130000099. The next prime is 130000151. The reversal of 130000101 is 101000031.

It is not a de Polignac number, because 130000101 - 21 = 130000099 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 130000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130000151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25626 + ... + 30276.

It is an arithmetic number, because the mean of its divisors is an integer number (6810528).

Almost surely, 2130000101 is an apocalyptic number.

130000101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130000101 is a deficient number, since it is larger than the sum of its proper divisors (87936795).

130000101 is an equidigital number, since it uses as much as digits as its factorization.

130000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4694 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 130000101 is about 11401.7586801335. The cubic root of 130000101 is about 506.5798331012.

Adding to 130000101 its reverse (101000031), we get a palindrome (231000132).

The spelling of 130000101 in words is "one hundred thirty million, one hundred one", and thus it is an aban number.

Divisors: 1 3 7 11 21 33 77 121 231 363 847 1331 2541 3993 4651 9317 13953 27951 32557 51161 97671 153483 358127 562771 1074381 1688313 3939397 6190481 11818191 18571443 43333367 130000101