Search a number
-
+
131121302413545 = 3353121487679681
BaseRepresentation
bin11101110100000100001110…
…101001110010000011101001
3122012021002000000022210021000
4131310010032221302003221
5114141242411404213140
61142512143400105213
736422126052025113
oct3564041651620351
9565232000283230
10131121302413545
1138863260983874
121285822aa65209
1358218bb809792
14245443a8da3b3
151025b752d0a30
hex77410ea720e9

131121302413545 has 96 divisors (see below), whose sum is σ = 241028939589120. Its totient is φ = 67629899980800.

The previous prime is 131121302413531. The next prime is 131121302413547. The reversal of 131121302413545 is 545314203121131.

131121302413545 is a `hidden beast` number, since 1 + 3 + 11 + 21 + 30 + 241 + 354 + 5 = 666.

It is not a de Polignac number, because 131121302413545 - 211 = 131121302411497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131121302413547) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 192576105 + ... + 193255785.

It is an arithmetic number, because the mean of its divisors is an integer number (2510718120720).

Almost surely, 2131121302413545 is an apocalyptic number.

131121302413545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131121302413545 is a deficient number, since it is larger than the sum of its proper divisors (109907637175575).

131121302413545 is a wasteful number, since it uses less digits than its factorization.

131121302413545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681244 (or 681207 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 131121302413545 its reverse (545314203121131), we get a palindrome (676435505534676).

The spelling of 131121302413545 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, three hundred two million, four hundred thirteen thousand, five hundred forty-five".

Divisors: 1 3 5 9 15 27 31 45 93 135 155 279 465 837 961 1395 1487 2883 4185 4461 4805 7435 8649 13383 14415 22305 25947 40149 43245 46097 66915 129735 138291 200745 230485 414873 679681 691455 1244619 1429007 2039043 2074365 3398405 4287021 6117129 6223095 7145035 10195215 12861063 18351387 21070111 21435105 30585645 38583189 63210333 64305315 91756935 105350555 189630999 192915945 316051665 568892997 653173441 948154995 1010685647 1959520323 2844464985 3032056941 3265867205 5053428235 5878560969 9096170823 9797601615 15160284705 17635682907 27288512469 29392804845 31331255057 45480854115 88178414535 93993765171 136442562345 156656275285 281981295513 469968825855 845943886539 971268906767 1409906477565 2913806720301 4229719432695 4856344533835 8741420160903 14569033601505 26224260482709 43707100804515 131121302413545