Search a number
-
+
131201431414301 = 3133176731666417
BaseRepresentation
bin11101110101001110110110…
…101101101010011000011101
3122012112201211100011210000202
4131311032312231222120131
5114144101012420224201
61143013034442433245
736430663531216163
oct3565166655523035
9565481740153022
10131201431414301
113889423a68a046
121286b871b02825
13582931b59a2b1
14245827c855233
151027cb4c81c6b
hex7753b6b6a61d

131201431414301 has 16 divisors (see below), whose sum is σ = 135860686560768. Its totient is φ = 126568961164800.

The previous prime is 131201431414289. The next prime is 131201431414307. The reversal of 131201431414301 is 103414134102131.

It is a cyclic number.

It is not a de Polignac number, because 131201431414301 - 218 = 131201431152157 is a prime.

It is a super-2 number, since 2×1312014314143012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201431414307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77899445 + ... + 79565861.

It is an arithmetic number, because the mean of its divisors is an integer number (8491292910048).

Almost surely, 2131201431414301 is an apocalyptic number.

It is an amenable number.

131201431414301 is a deficient number, since it is larger than the sum of its proper divisors (4659255146467).

131201431414301 is a wasteful number, since it uses less digits than its factorization.

131201431414301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674452.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 131201431414301 its reverse (103414134102131), we get a palindrome (234615565516432).

The spelling of 131201431414301 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred thirty-one million, four hundred fourteen thousand, three hundred one".

Divisors: 1 31 331 7673 10261 237863 1666417 2539763 51658927 78732653 551584027 12786417641 17099104837 396378946871 4232304239171 131201431414301