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131032311104112 = 24311307808362397
BaseRepresentation
bin11101110010110001010110…
…010110111000001001110000
3122011221120022001110212110120
4131302301112112320021300
5114133313133120312422
61142403225051330240
736412525551256305
oct3562612626701160
9564846261425416
10131032311104112
1138829544681950
1212842b33a50980
1358163a8978232
14244ddd796d0ac
1510236b77a045c
hex772c565b8270

131032311104112 has 80 divisors (see below), whose sum is σ = 370475720452992. Its totient is φ = 39577422908160.

The previous prime is 131032311104111. The next prime is 131032311104117. The reversal of 131032311104112 is 211401113230131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131032311104111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 404019103 + ... + 404343294.

Almost surely, 2131032311104112 is an apocalyptic number.

131032311104112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131032311104112 is an abundant number, since it is smaller than the sum of its proper divisors (239443409348880).

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

131032311104112 is a wasteful number, since it uses less digits than its factorization.

131032311104112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808362726 (or 808362720 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 131032311104112 its reverse (211401113230131), we get a palindrome (342433424334243).

The spelling of 131032311104112 in words is "one hundred thirty-one trillion, thirty-two billion, three hundred eleven million, one hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 307 528 614 921 1228 1842 2456 3377 3684 4912 6754 7368 10131 13508 14736 20262 27016 40524 54032 81048 162096 808362397 1616724794 2425087191 3233449588 4850174382 6466899176 8891986367 9700348764 12933798352 17783972734 19400697528 26675959101 35567945468 38801395056 53351918202 71135890936 106703836404 142271781872 213407672808 248167255879 426815345616 496334511758 744501767637 992669023516 1489003535274 1985338047032 2729839814669 2978007070548 3970676094064 5459679629338 5956014141096 8189519444007 10919359258676 11912028282192 16379038888014 21838718517352 32758077776028 43677437034704 65516155552056 131032311104112