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130313202201 = 32713449354371
BaseRepresentation
bin111100101011101000…
…1011010101000011001
3110110100202021120021100
41321113101122220121
54113340134432301
6135510504102013
712262165641210
oct1712721325031
9413322246240
10130313202201
11502a1450626
1221309764909
13c399a45890
146442d18077
1535ca5ce286
hex1e5745aa19

130313202201 has 48 divisors (see below), whose sum is σ = 232184534400. Its totient is φ = 68583352320.

The previous prime is 130313202197. The next prime is 130313202259. The reversal of 130313202201 is 102202313031.

130313202201 is a `hidden beast` number, since 130 + 313 + 2 + 0 + 220 + 1 = 666.

It is not a de Polignac number, because 130313202201 - 22 = 130313202197 is a prime.

It is a super-2 number, since 2×1303132022012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130313202281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190546 + ... + 544916.

It is an arithmetic number, because the mean of its divisors is an integer number (4837177800).

Almost surely, 2130313202201 is an apocalyptic number.

It is an amenable number.

130313202201 is a deficient number, since it is larger than the sum of its proper divisors (101871332199).

130313202201 is a wasteful number, since it uses less digits than its factorization.

130313202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354846 (or 354843 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130313202201 its reverse (102202313031), we get a palindrome (232515515232).

The spelling of 130313202201 in words is "one hundred thirty billion, three hundred thirteen million, two hundred two thousand, two hundred one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 449 819 1347 3143 4041 5837 9429 17511 28287 40859 52533 122577 354371 367731 1063113 2480597 3189339 4606823 7441791 13820469 22325373 32247761 41461407 96743283 159112579 290229849 477337737 1113788053 1432013211 2068463527 3341364159 6205390581 10024092477 14479244689 18616171743 43437734067 130313202201