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135147741531 = 31137283391117
BaseRepresentation
bin111110111011101101…
…1101110000101011011
3110220211200022121110120
41331313123232011123
54203240310212111
6142030325044323
712523041564105
oct1756733560533
9426750277416
10135147741531
1152352416580
12222388566a3
13c98a52133a
146781028575
1537aec50406
hex1f776ee15b

135147741531 has 32 divisors (see below), whose sum is σ = 202605381888. Its totient is φ = 79412192640.

The previous prime is 135147741529. The next prime is 135147741583.

135147741531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135147741531 - 21 = 135147741529 is a prime.

It is a super-2 number, since 2×1351477415312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135147741331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149985 + ... + 541101.

It is an arithmetic number, because the mean of its divisors is an integer number (6331418184).

Almost surely, 2135147741531 is an apocalyptic number.

135147741531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135147741531 is a deficient number, since it is larger than the sum of its proper divisors (67457640357).

135147741531 is a wasteful number, since it uses less digits than its factorization.

135147741531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391451.

The product of its digits is 176400, while the sum is 42.

It can be divided in two parts, 135147 and 741531, that added together give a palindrome (876678).

The spelling of 135147741531 in words is "one hundred thirty-five billion, one hundred forty-seven million, seven hundred forty-one thousand, five hundred thirty-one".

Divisors: 1 3 11 33 37 111 283 407 849 1221 3113 9339 10471 31413 115181 345543 391117 1173351 4302287 12906861 14471329 43413987 110686111 159184619 332058333 477553857 1217547221 3652641663 4095386107 12286158321 45049247177 135147741531