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20320414101 = 32131973125219
BaseRepresentation
bin10010111011001100…
…001110100110010101
31221110011102222202200
4102323030032212111
5313104011222401
613200212555113
71316362445541
oct227314164625
957404388680
1020320414101
118688386969
123b31322a99
131bbaba2490
14daaa90a21
157dde5d686
hex4bb30e995

20320414101 has 48 divisors (see below), whose sum is σ = 33729259200. Its totient is φ = 11684342016.

The previous prime is 20320414091. The next prime is 20320414117. The reversal of 20320414101 is 10141402302.

It is not a de Polignac number, because 20320414101 - 25 = 20320414069 is a prime.

It is a super-2 number, since 2×203204141012 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20320414181) 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, 99670 + ... + 224888.

It is an arithmetic number, because the mean of its divisors is an integer number (702692900).

Almost surely, 220320414101 is an apocalyptic number.

It is an amenable number.

20320414101 is a deficient number, since it is larger than the sum of its proper divisors (13408845099).

20320414101 is a wasteful number, since it uses less digits than its factorization.

20320414101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125330 (or 125327 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20320414101 its reverse (10141402302), we get a palindrome (30461816403).

The spelling of 20320414101 in words is "twenty billion, three hundred twenty million, four hundred fourteen thousand, one hundred one".

Divisors: 1 3 9 13 19 39 57 73 117 171 219 247 657 741 949 1387 2223 2847 4161 8541 12483 18031 54093 125219 162279 375657 1126971 1627847 2379161 4883541 7137483 9140987 14650623 21412449 27422961 30929093 82268883 92787279 118832831 173678753 278361837 356498493 521036259 1069495479 1563108777 2257823789 6773471367 20320414101