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131012224202041 = 71331208722252883
BaseRepresentation
bin11101110010011110101001…
…000101011011010100111001
3122011212122110011102111222121
4131302132221011123110321
5114133001013343431131
61142350103535321241
736411215022361510
oct3562365105332471
9564778404374877
10131012224202041
1138820a77098036
121283b068980221
135814527294770
14244d04dd05677
151022dde0ba911
hex7727a915b539

131012224202041 has 32 divisors (see below), whose sum is σ = 166527054102528. Its totient is φ = 100266145600320.

The previous prime is 131012224202029. The next prime is 131012224202047. The reversal of 131012224202041 is 140202422210131.

It is not a de Polignac number, because 131012224202041 - 245 = 95827852113209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131012224201997 and 131012224202015.

It is not an unprimeable number, because it can be changed into a prime (131012224202047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5239015 + ... + 17013868.

It is an arithmetic number, because the mean of its divisors is an integer number (5203970440704).

Almost surely, 2131012224202041 is an apocalyptic number.

It is an amenable number.

131012224202041 is a deficient number, since it is larger than the sum of its proper divisors (35514829900487).

131012224202041 is a wasteful number, since it uses less digits than its factorization.

131012224202041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22255021.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 131012224202041 its reverse (140202422210131), we get a palindrome (271214646412172).

The spelling of 131012224202041 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-four million, two hundred two thousand, forty-one".

Divisors: 1 7 13 31 91 217 403 2087 2821 14609 27131 64697 189917 452879 841061 5887427 22252883 155770181 289287479 689839373 2025012353 4828875611 8967911849 46441766821 62775382943 325092367747 603742968673 1439694771451 4226200780711 10077863400157 18716032028863 131012224202041