Search a number
-
+
13100014556955 = 3252935927961909
BaseRepresentation
bin1011111010100001010110…
…1101101101011100011011
31201101100102112112102220200
42332220111231231130123
53204112312211310310
643510021423353243
72521305400326114
oct276502555553433
951340375472820
1013100014556955
1141a0759778737
121576a54452823
137404314c3931
14334088d9520b
1517ab64ce99c0
hexbea15b6d71b

13100014556955 has 48 divisors (see below), whose sum is σ = 23555112984000. Its totient is φ = 6726963979008.

The previous prime is 13100014556899. The next prime is 13100014556957. The reversal of 13100014556955 is 55965541000131.

13100014556955 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 0 + 0 + 1 + 4 + 556 + 95 + 5 = 666.

It is not a de Polignac number, because 13100014556955 - 233 = 13091424622363 is a prime.

It is a super-2 number, since 2×131000145569552 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13100014556955.

It is not an unprimeable number, because it can be changed into a prime (13100014556957) 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, 13512460 + ... + 14449449.

It is an arithmetic number, because the mean of its divisors is an integer number (490731520500).

Almost surely, 213100014556955 is an apocalyptic number.

13100014556955 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13100014556955 is a deficient number, since it is larger than the sum of its proper divisors (10455098427045).

13100014556955 is a wasteful number, since it uses less digits than its factorization.

13100014556955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27962308 (or 27962305 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 45.

The spelling of 13100014556955 in words is "thirteen trillion, one hundred billion, fourteen million, five hundred fifty-six thousand, nine hundred fifty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 359 435 1077 1305 1795 3231 5385 10411 16155 31233 52055 93699 156165 468495 27961909 83885727 139809545 251657181 419428635 810895361 1258285905 2432686083 4054476805 7298058249 10038325331 12163430415 30114975993 36490291245 50191626655 90344927979 150574879965 291111434599 451724639895 873334303797 1455557172995 2620002911391 4366671518985 13100014556955