Search a number
-
+
20131310110131 = 3311307230995621
BaseRepresentation
bin1001001001111001011111…
…00101101000010110110011
32122021112102121121020112000
410210330233211220112303
510114312410342011011
6110452110213305043
74145303426365203
oct444745745502663
978245377536460
1020131310110131
11646170580a310
1223116bb035183
13b304b372325c
144d850971a403
1524d9dcc35356
hex124f2f9685b3

20131310110131 has 64 divisors (see below), whose sum is σ = 32655907468800. Its totient is φ = 12155658076800.

The previous prime is 20131310110111. The next prime is 20131310110133. The reversal of 20131310110131 is 13101101313102.

20131310110131 is a `hidden beast` number, since 201 + 31 + 310 + 110 + 13 + 1 = 666.

It is not a de Polignac number, because 20131310110131 - 239 = 19581554296243 is a prime.

It is a super-2 number, since 2×201313101101312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20131310110133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210484501 + ... + 210580121.

It is an arithmetic number, because the mean of its divisors is an integer number (510248554200).

Almost surely, 220131310110131 is an apocalyptic number.

20131310110131 is a deficient number, since it is larger than the sum of its proper divisors (12524597358669).

20131310110131 is a wasteful number, since it uses less digits than its factorization.

20131310110131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98257 (or 98251 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 20131310110131 its reverse (13101101313102), we get a palindrome (33232411423233).

The spelling of 20131310110131 in words is "twenty trillion, one hundred thirty-one billion, three hundred ten million, one hundred ten thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 307 921 2309 2763 3377 6927 8289 10131 20781 25399 30393 62343 76197 91179 95621 228591 286863 685773 708863 860589 1051831 2126589 2581767 3155493 6379767 7797493 9466479 19139301 23392479 28399437 29355647 70177437 88066941 210532311 220788889 264200823 322912117 662366667 792602469 968736351 1987100001 2428677779 2906209053 5961300003 7286033337 8718627159 21858100011 65574300033 67782188923 203346566769 610039700307 745604078153 1830119100921 2236812234459 6710436703377 20131310110131