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130103101332 = 22323797675001
BaseRepresentation
bin111100100101010111…
…1111100011110010100
3110102211002221100001200
41321022233330132110
54112422343220312
6135434000552500
712254035054221
oct1711257743624
9412732840050
10130103101332
11501a3899746
122126b322730
13c365362b39
146423066948
1535b6e2c0dc
hex1e4abfc794

130103101332 has 36 divisors (see below), whose sum is σ = 337760156916. Its totient is φ = 42195600000.

The previous prime is 130103101309. The next prime is 130103101333. The reversal of 130103101332 is 233101301031.

It is a happy number.

130103101332 is a `hidden beast` number, since 1 + 301 + 0 + 31 + 0 + 1 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101624513796 + 28478587536 = 318786^2 + 168756^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (130103101333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48836169 + ... + 48838832.

It is an arithmetic number, because the mean of its divisors is an integer number (9382226581).

Almost surely, 2130103101332 is an apocalyptic number.

130103101332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130103101332 is an abundant number, since it is smaller than the sum of its proper divisors (207657055584).

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

130103101332 is a wasteful number, since it uses less digits than its factorization.

130103101332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97675048 (or 97675043 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 130103101332 its reverse (233101301031), we get a palindrome (363204402363).

The spelling of 130103101332 in words is "one hundred thirty billion, one hundred three million, one hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 97675001 195350002 293025003 390700004 586050006 879075009 1172100012 1758150018 3516300036 3613975037 7227950074 10841925111 14455900148 21683850222 32525775333 43367700444 65051550666 130103101332