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131002020241224 = 233112321574772767
BaseRepresentation
bin11101110010010101001000…
…111000011001111101001000
3122011211200010000212121012220
4131302111020320121331020
5114132314114140204344
61142341255225134040
736410404120214556
oct3562251070317510
9564750100777186
10131002020241224
1138817710235270
121283909b62a320
13581358c264222
14244c762a4cbd6
1510229e336ec19
hex772548e19f48

131002020241224 has 64 divisors (see below), whose sum is σ = 372812073431040. Its totient is φ = 37971600068160.

The previous prime is 131002020241151. The next prime is 131002020241241. The reversal of 131002020241224 is 422142020200131.

131002020241224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 131002020241194 and 131002020241203.

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 15 ways as a sum of consecutive naturals, for example, 10787380312 + ... + 10787392455.

It is an arithmetic number, because the mean of its divisors is an integer number (5825188647360).

Almost surely, 2131002020241224 is an apocalyptic number.

It is an amenable number.

131002020241224 is an abundant number, since it is smaller than the sum of its proper divisors (241810053189816).

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

131002020241224 is a wasteful number, since it uses less digits than its factorization.

131002020241224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21574772810 (or 21574772806 counting only the distinct ones).

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

Adding to 131002020241224 its reverse (422142020200131), we get a palindrome (553144040441355).

The spelling of 131002020241224 in words is "one hundred thirty-one trillion, two billion, twenty million, two hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 6072 21574772767 43149545534 64724318301 86299091068 129448636602 172598182136 237322500437 258897273204 474645000874 496219773641 517794546408 711967501311 949290001748 992439547282 1423935002622 1488659320923 1898580003496 1984879094564 2847870005244 2977318641846 3969758189128 5458417510051 5695740010488 5954637283692 10916835020102 11909274567384 16375252530153 21833670040204 32750505060306 43667340080408 65501010120612 131002020241224