Search a number
-
+
131153145014205 = 345640195058419
BaseRepresentation
bin11101110100100001111000…
…100111101010011110111101
3122012101010012011210111120000
4131310201320213222132331
5114142303120110423310
61142534531213344513
736424334124460416
oct3564417047523675
9565333164714500
10131153145014205
1138875811228a66
1212862436a98139
1358248c4859112
142455bbb94a80d
1510268daa7a4c0
hex7748789ea7bd

131153145014205 has 40 divisors (see below), whose sum is σ = 235107875138400. Its totient is φ = 69947237561184.

The previous prime is 131153145014167. The next prime is 131153145014207. The reversal of 131153145014205 is 502410541351131.

131153145014205 is a `hidden beast` number, since 1 + 3 + 11 + 53 + 1 + 450 + 142 + 0 + 5 = 666.

It is not a de Polignac number, because 131153145014205 - 28 = 131153145013949 is a prime.

It is a super-2 number, since 2×1311531450142052 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131153145014205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131153145014207) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23398486 + ... + 28456904.

It is an arithmetic number, because the mean of its divisors is an integer number (5877696878460).

Almost surely, 2131153145014205 is an apocalyptic number.

131153145014205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131153145014205 is a deficient number, since it is larger than the sum of its proper divisors (103954730124195).

131153145014205 is an equidigital number, since it uses as much as digits as its factorization.

131153145014205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5122455 (or 5122446 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 131153145014205 its reverse (502410541351131), we get a palindrome (633563686365336).

The spelling of 131153145014205 in words is "one hundred thirty-one trillion, one hundred fifty-three billion, one hundred forty-five million, fourteen thousand, two hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 64019 192057 320095 576171 960285 1728513 2880855 5058419 5185539 8642565 15175257 25292095 25927695 45525771 75876285 136577313 227628855 409731939 682886565 2048659695 323834925961 971504777883 1619174629805 2914514333649 4857523889415 8743543000947 14572571668245 26230629002841 43717715004735 131153145014205