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130553250201 = 3411217783553
BaseRepresentation
bin111100110010110010…
…1001000000110011001
3110110222110222021020000
41321211211020012121
54114333113001301
6135550401123213
712301142213463
oct1714545100631
9413873867200
10130553250201
11504049a7200
1221376029509
13c4076b250a
146466b63133
1535e16e9786
hex1e65948199

130553250201 has 60 divisors (see below), whose sum is σ = 226975221396. Its totient is φ = 74468782080.

The previous prime is 130553250199. The next prime is 130553250313. The reversal of 130553250201 is 102052355031.

It is a happy number.

130553250201 is a `hidden beast` number, since 130 + 5 + 5 + 325 + 0 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88150203801 + 42403046400 = 296901^2 + 205920^2 .

It is not a de Polignac number, because 130553250201 - 21 = 130553250199 is a prime.

It is a super-2 number, since 2×1305532502012 (a number of 23 digits) contains 22 as substring.

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 (130553250101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 225160 + ... + 558393.

Almost surely, 2130553250201 is an apocalyptic number.

130553250201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130553250201 is a deficient number, since it is larger than the sum of its proper divisors (96421971195).

130553250201 is a wasteful number, since it uses less digits than its factorization.

130553250201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783604 (or 783584 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 130553250201 in words is "one hundred thirty billion, five hundred fifty-three million, two hundred fifty thousand, two hundred one".

Divisors: 1 3 9 11 17 27 33 51 81 99 121 153 187 297 363 459 561 891 1089 1377 1683 2057 3267 5049 6171 9801 15147 18513 55539 166617 783553 2350659 7051977 8619083 13320401 21155931 25857249 39961203 63467793 77571747 94809913 119883609 146524411 232715241 284429739 359650827 439573233 698145723 853289217 1078952481 1318719699 1611768521 2559867651 3956159097 4835305563 7679602953 11868477291 14505916689 43517750067 130553250201