Search a number
-
+
131010200033031 = 34111918142755819
BaseRepresentation
bin11101110010011100110000…
…011011110101011100000111
3122011212110020002121002010000
4131302130300123311130013
5114132432342202024111
61142345131030332343
736411113613255234
oct3562346033653407
9564773202532100
10131010200033031
1138820128542990
121283a7a2aba0b3
135814293b07517
14244ccdb15878b
151022d21531c56
hex7727306f5707

131010200033031 has 80 divisors (see below), whose sum is σ = 225976480329600. Its totient is φ = 74805579172800.

The previous prime is 131010200033021. The next prime is 131010200033039. The reversal of 131010200033031 is 130330002010131.

It is a happy number.

131010200033031 is a `hidden beast` number, since 1 + 3 + 101 + 0 + 200 + 0 + 330 + 31 = 666.

It is not a de Polignac number, because 131010200033031 - 29 = 131010200032519 is a prime.

It is a super-2 number, since 2×1310102000330312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131010200032995 and 131010200033013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010200033039) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18313761 + ... + 24442058.

It is an arithmetic number, because the mean of its divisors is an integer number (2824706004120).

Almost surely, 2131010200033031 is an apocalyptic number.

131010200033031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131010200033031 is a deficient number, since it is larger than the sum of its proper divisors (94966280296569).

131010200033031 is a wasteful number, since it uses less digits than its factorization.

131010200033031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42756042 (or 42756033 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131010200033031 its reverse (130330002010131), we get a palindrome (261340202043162).

The spelling of 131010200033031 in words is "one hundred thirty-one trillion, ten billion, two hundred million, thirty-three thousand, thirty-one".

Divisors: 1 3 9 11 19 27 33 57 81 99 171 181 209 297 513 543 627 891 1539 1629 1881 1991 3439 4887 5643 5973 10317 14661 16929 17919 30951 37829 53757 92853 113487 161271 278559 340461 1021383 3064149 42755819 128267457 384802371 470314009 812360561 1154407113 1410942027 2437081683 3463221339 4232826081 7311245049 7738803239 8935966171 12698478243 21933735147 23216409717 26807898513 38095434729 65801205441 69649229151 80423695539 85126835629 147037261541 208947687453 241271086617 255380506887 441111784623 626843062359 723813259851 766141520661 1323335353869 1617409876951 2298424561983 3970006061607 4852229630853 6895273685949 11910018184821 14556688892559 43670066677677 131010200033031