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130221010113201 = 357194029240079
BaseRepresentation
bin11101100110111101110001…
…000011001101001010110001
3122002002000012002112022100000
4131212331301003031022301
5114032020112042110301
61140542412311420213
736300105011524020
oct3546756103151261
9562060162468300
10130221010113201
1138546469399447
1212731854984669
135787a3361a3b7
142422a327868b7
15100c5322b6786
hex766f710cd2b1

130221010113201 has 48 divisors (see below), whose sum is σ = 234662942259200. Its totient is φ = 70495584404688.

The previous prime is 130221010113179. The next prime is 130221010113253. The reversal of 130221010113201 is 102311010122031.

130221010113201 is a `hidden beast` number, since 1 + 30 + 2 + 210 + 101 + 1 + 320 + 1 = 666.

It is not a de Polignac number, because 130221010113201 - 210 = 130221010112177 is a prime.

It is a super-2 number, since 2×1302210101132012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130221010117201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2014587721 + ... + 2014652358.

Almost surely, 2130221010113201 is an apocalyptic number.

It is an amenable number.

130221010113201 is a deficient number, since it is larger than the sum of its proper divisors (104441932145999).

130221010113201 is an equidigital number, since it uses as much as digits as its factorization.

130221010113201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4029240120 (or 4029240108 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 130221010113201 its reverse (102311010122031), we get a palindrome (232532020235232).

The spelling of 130221010113201 in words is "one hundred thirty trillion, two hundred twenty-one billion, ten million, one hundred thirteen thousand, two hundred one".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 243 399 513 567 1197 1539 1701 3591 4617 10773 32319 4029240079 12087720237 28204680553 36263160711 76555561501 84614041659 108789482133 229666684503 253842124977 326368446399 535888930507 689000053509 761526374931 979105339197 1607666791521 2067000160527 2284579124793 4823000374563 6201000481581 6853737374379 14469001123689 18603001444743 43407003371067 130221010113201