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131233223112 = 233173269117499
BaseRepresentation
bin111101000111000011…
…1000001000111001000
3110112201212110110200220
41322032013001013020
54122231201114422
6140142051230040
712324036664005
oct1721607010710
9415655413626
10131233223112
1150723807992
12215258a8320
13c4b552c054
1464cd1a68ac
153631262e5c
hex1e8e1c11c8

131233223112 has 64 divisors (see below), whose sum is σ = 331209000000. Its totient is φ = 43329502464.

The previous prime is 131233223111. The next prime is 131233223129. The reversal of 131233223112 is 211322332131.

It is a super-3 number, since 3×1312332231123 (a number of 34 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131233223111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1058139 + ... + 1175637.

It is an arithmetic number, because the mean of its divisors is an integer number (5175140625).

Almost surely, 2131233223112 is an apocalyptic number.

131233223112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131233223112 is an abundant number, since it is smaller than the sum of its proper divisors (199975776888).

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

131233223112 is a wasteful number, since it uses less digits than its factorization.

131233223112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117950 (or 117946 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 131233223112 its reverse (211322332131), we get a palindrome (342555555243).

The spelling of 131233223112 in words is "one hundred thirty-one billion, two hundred thirty-three million, two hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 173 269 346 519 538 692 807 1038 1076 1384 1614 2076 2152 3228 4152 6456 46537 93074 117499 139611 186148 234998 279222 352497 372296 469996 558444 704994 939992 1116888 1409988 2819976 20327327 31607231 40654654 60981981 63214462 81309308 94821693 121963962 126428924 162618616 189643386 243927924 252857848 379286772 487855848 758573544 5468050963 10936101926 16404152889 21872203852 32808305778 43744407704 65616611556 131233223112