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131300311121433 = 33311063147573043
BaseRepresentation
bin11101110110101010111100…
…011001110011111000011001
3122012220012001102210100101000
4131312222330121303320121
5114202211014121341213
61143130310310015213
736441064052652546
oct3566527431637031
9565805042710330
10131300311121433
11389221706aa573
1212886a68647509
135835748c7253c
14245cd7cbb3bcd
15102a650977c73
hex776abc673e19

131300311121433 has 32 divisors (see below), whose sum is σ = 200982680084480. Its totient is φ = 84630188126160.

The previous prime is 131300311121423. The next prime is 131300311121477. The reversal of 131300311121433 is 334121113003131.

131300311121433 is a `hidden beast` number, since 1 + 3 + 1 + 300 + 3 + 111 + 214 + 33 = 666.

It is not a de Polignac number, because 131300311121433 - 210 = 131300311120409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131300311121397 and 131300311121406.

It is not an unprimeable number, because it can be changed into a prime (131300311121423) 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, 72896791 + ... + 74676252.

It is an arithmetic number, because the mean of its divisors is an integer number (6280708752640).

Almost surely, 2131300311121433 is an apocalyptic number.

It is an amenable number.

131300311121433 is a deficient number, since it is larger than the sum of its proper divisors (69682368963047).

131300311121433 is a wasteful number, since it uses less digits than its factorization.

131300311121433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147574146 (or 147574140 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 131300311121433 its reverse (334121113003131), we get a palindrome (465421424124564).

The spelling of 131300311121433 in words is "one hundred thirty-one trillion, three hundred billion, three hundred eleven million, one hundred twenty-one thousand, four hundred thirty-three".

Divisors: 1 3 9 27 31 93 279 837 1063 3189 9567 28701 32953 98859 296577 889731 147573043 442719129 1328157387 3984472161 4574764333 13724292999 41172878997 123518636991 156870144709 470610434127 1411831302381 4235493907143 4862974485979 14588923457937 43766770373811 131300311121433