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131006010530 = 256712714910333
BaseRepresentation
bin111101000000010010…
…0010001010010100010
3110112011000220212122002
41322000210101102202
54121300014314110
6140103333244002
712315310500443
oct1720044212242
9415130825562
10131006010530
115061752879a
1221481793602
13c47a437735
1464aad3d2ca
15361b330aa5
hex1e809114a2

131006010530 has 64 divisors (see below), whose sum is σ = 242857267200. Its totient is φ = 50865179904.

The previous prime is 131006010497. The next prime is 131006010533. The reversal of 131006010530 is 35010600131.

It is a happy number.

131006010530 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131006010533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12673244 + ... + 12683576.

It is an arithmetic number, because the mean of its divisors is an integer number (3794644800).

Almost surely, 2131006010530 is an apocalyptic number.

131006010530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131006010530 is a deficient number, since it is larger than the sum of its proper divisors (111851256670).

131006010530 is a wasteful number, since it uses less digits than its factorization.

131006010530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10683.

The product of its (nonzero) digits is 270, while the sum is 20.

Adding to 131006010530 its reverse (35010600131), we get a palindrome (166016610661).

The spelling of 131006010530 in words is "one hundred thirty-one billion, six million, ten thousand, five hundred thirty".

Divisors: 1 2 5 10 67 127 134 149 254 298 335 635 670 745 1270 1490 8509 9983 10333 17018 18923 19966 20666 37846 42545 49915 51665 85090 94615 99830 103330 189230 692311 1267841 1312291 1384622 1539617 2535682 2624582 3079234 3461555 6339205 6561455 6923110 7698085 12678410 13122910 15396170 87923497 103154339 175846994 195531359 206308678 391062718 439617485 515771695 879234970 977656795 1031543390 1955313590 13100601053 26201202106 65503005265 131006010530