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10134411067 = 1119731714753
BaseRepresentation
bin10010111000000111…
…01101011100111011
3222011021200102110001
421130003231130323
5131223402123232
64353343333431
7506066033644
oct113403553473
928137612401
1010134411067
11433067a040
121b69bb1277
13c567bb951
146c1d506cb
153e4aad6e7
hex25c0ed73b

10134411067 has 16 divisors (see below), whose sum is σ = 11147650272. Its totient is φ = 9136798720.

The previous prime is 10134410987. The next prime is 10134411113. The reversal of 10134411067 is 76011443101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10134411067 - 27 = 10134410939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10134414067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679563 + ... + 694315.

It is an arithmetic number, because the mean of its divisors is an integer number (696728142).

Almost surely, 210134411067 is an apocalyptic number.

10134411067 is a deficient number, since it is larger than the sum of its proper divisors (1013239205).

10134411067 is a wasteful number, since it uses less digits than its factorization.

10134411067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15278.

The product of its (nonzero) digits is 2016, while the sum is 28.

Adding to 10134411067 its reverse (76011443101), we get a palindrome (86145854168).

It can be divided in two parts, 10134 and 411067, that added together give a square (421201 = 6492).

The spelling of 10134411067 in words is "ten billion, one hundred thirty-four million, four hundred eleven thousand, sixty-seven".

Divisors: 1 11 197 317 2167 3487 14753 62449 162283 686939 2906341 4676701 31969751 51443711 921310097 10134411067