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130545420201 = 33721673791559
BaseRepresentation
bin111100110010100011…
…1010000011110101001
3110110221221020110111000
41321211013100132221
54114324111421301
6135545521225213
712301015522500
oct1714507203651
9413857213430
10130545420201
1150400539429
1221373492209
13c405ba0591
146465ac5837
1535e0b9e786
hex1e651d07a9

130545420201 has 96 divisors (see below), whose sum is σ = 227066112000. Its totient is φ = 73907606304.

The previous prime is 130545420193. The next prime is 130545420211. The reversal of 130545420201 is 102024545031.

130545420201 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 454 + 2 + 0 + 201 = 666.

It is not a de Polignac number, because 130545420201 - 23 = 130545420193 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (130545420211) 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 95 ways as a sum of consecutive naturals, for example, 83735860 + ... + 83737418.

It is an arithmetic number, because the mean of its divisors is an integer number (2365272000).

Almost surely, 2130545420201 is an apocalyptic number.

It is an amenable number.

130545420201 is a deficient number, since it is larger than the sum of its proper divisors (96520691799).

130545420201 is a wasteful number, since it uses less digits than its factorization.

130545420201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 130545420201 its reverse (102024545031), we get a palindrome (232569965232).

The spelling of 130545420201 in words is "one hundred thirty billion, five hundred forty-five million, four hundred twenty thousand, two hundred one".

Divisors: 1 3 7 9 21 27 49 63 147 167 189 379 441 501 1137 1169 1323 1503 1559 2653 3411 3507 4509 4677 7959 8183 10233 10521 10913 14031 18571 23877 24549 31563 32739 42093 55713 63293 71631 73647 76391 98217 167139 189879 220941 229173 260353 294651 443051 501417 569637 590861 687519 781059 1329153 1708911 1772583 1822471 2062557 2343177 3101357 3987459 4136027 5317749 5467413 7029531 9304071 11962377 12408081 12757297 15953247 16402239 27912213 28952189 37224243 38271891 49206717 83736639 86856567 98673787 111672729 114815673 260569701 296021361 344447019 690716509 781709103 888064083 2072149527 2664192249 4835015563 6216448581 14505046689 18649345743 43515140067 130545420201