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105201231421 = 11135961320341
BaseRepresentation
bin110000111111001111…
…0110110011000111101
3101001112122200021102111
41201332132312120331
53210423003401141
6120155003254021
710412661466336
oct1417636663075
9331478607374
10105201231421
1140685397270
121847b81a311
139bc7266c80
14513db4528d
152b0ab90381
hex187e7b663d

105201231421 has 32 divisors (see below), whose sum is σ = 125899079040. Its totient is φ = 86638636800.

The previous prime is 105201231397. The next prime is 105201231433. The reversal of 105201231421 is 124132102501.

It is a cyclic number.

It is not a de Polignac number, because 105201231421 - 29 = 105201230909 is a prime.

It is a super-2 number, since 2×1052012314212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105201231392 and 105201231401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105201231491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5161711 + ... + 5182051.

It is an arithmetic number, because the mean of its divisors is an integer number (3934346220).

Almost surely, 2105201231421 is an apocalyptic number.

105201231421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105201231421 is a deficient number, since it is larger than the sum of its proper divisors (20697847619).

105201231421 is a wasteful number, since it uses less digits than its factorization.

105201231421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21037.

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 105201231421 its reverse (124132102501), we get a palindrome (229333333922).

The spelling of 105201231421 in words is "one hundred five billion, two hundred one million, two hundred thirty-one thousand, four hundred twenty-one".

Divisors: 1 11 13 59 143 613 649 767 6743 7969 8437 20341 36167 87659 223751 264433 397837 470171 1200119 2908763 5171881 12469033 13201309 15601547 137159363 162097429 171617017 735672947 1783071719 8092402417 9563748311 105201231421