Search a number
-
+
131100240402312 = 23318413329666111
BaseRepresentation
bin11101110011110000100111…
…010000100101011110001000
3122012012001122011102202110220
4131303300213100211132020
5114140421243020333222
61142454341412110040
736420452112625416
oct3563604720453610
9565161564382426
10131100240402312
1138855332a27015
1212854131305320
13581c9130c243c
1424533dd5642b6
1510253411d4b5c
hex773c27425788

131100240402312 has 32 divisors (see below), whose sum is σ = 327752392020480. Its totient is φ = 43699841332160.

The previous prime is 131100240402289. The next prime is 131100240402389. The reversal of 131100240402312 is 213204042001131.

It is a super-4 number, since 4×1311002404023124 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10413864 + ... + 19252247.

It is an arithmetic number, because the mean of its divisors is an integer number (10242262250640).

Almost surely, 2131100240402312 is an apocalyptic number.

131100240402312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131100240402312 is an abundant number, since it is smaller than the sum of its proper divisors (196652151618168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131100240402312 is a wasteful number, since it uses less digits than its factorization.

131100240402312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29850253 (or 29850249 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131100240402312 its reverse (213204042001131), we get a palindrome (344304282403443).

The spelling of 131100240402312 in words is "one hundred thirty-one trillion, one hundred billion, two hundred forty million, four hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 184133 368266 552399 736532 1104798 1473064 2209596 4419192 29666111 59332222 88998333 118664444 177996666 237328888 355993332 711986664 5462510016763 10925020033526 16387530050289 21850040067052 32775060100578 43700080134104 65550120201156 131100240402312