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131044210224 = 24319143688827
BaseRepresentation
bin111101000001011010…
…1111111011000110000
3110112020200210121202120
41322002311333120300
54121334304211344
6140111220114240
712316253260014
oct1720265773060
9415220717676
10131044210224
1150637049794
1221492535980
13c4853209c5
1464b2044544
15361e879219
hex1e82d7f630

131044210224 has 40 divisors (see below), whose sum is σ = 356348293440. Its totient is φ = 41382381888.

The previous prime is 131044210223. The next prime is 131044210247. The reversal of 131044210224 is 422012440131.

131044210224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1310442102242 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 131044210194 and 131044210203.

It is not an unprimeable number, because it can be changed into a prime (131044210223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71843502 + ... + 71845325.

It is an arithmetic number, because the mean of its divisors is an integer number (8908707336).

Almost surely, 2131044210224 is an apocalyptic number.

It is an amenable number.

131044210224 is an abundant number, since it is smaller than the sum of its proper divisors (225304083216).

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

131044210224 is a wasteful number, since it uses less digits than its factorization.

131044210224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143688857 (or 143688851 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 131044210224 its reverse (422012440131), we get a palindrome (553056650355).

The spelling of 131044210224 in words is "one hundred thirty-one billion, forty-four million, two hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 143688827 287377654 431066481 574755308 862132962 1149510616 1724265924 2299021232 2730087713 3448531848 5460175426 6897063696 8190263139 10920350852 16380526278 21840701704 32761052556 43681403408 65522105112 131044210224