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133513126241 = 11101480125031
BaseRepresentation
bin111110001011000000…
…0001010000101100001
3110202121202111112211112
41330112000022011201
54141413330014431
6141200213353105
712434402563625
oct1742600120541
9422552445745
10133513126241
1151693751950
1221a61338795
13c789988961
146667cc3185
1537164b4c2b
hex1f1600a161

133513126241 has 16 divisors (see below), whose sum is σ = 147129284736. Its totient is φ = 120144000000.

The previous prime is 133513126231. The next prime is 133513126247. The reversal of 133513126241 is 142621315331.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133513126241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133513126198 and 133513126207.

It is not an unprimeable number, because it can be changed into a prime (133513126247) 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, 5321396 + ... + 5346426.

It is an arithmetic number, because the mean of its divisors is an integer number (9195580296).

Almost surely, 2133513126241 is an apocalyptic number.

133513126241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133513126241 is a deficient number, since it is larger than the sum of its proper divisors (13616158495).

133513126241 is a wasteful number, since it uses less digits than its factorization.

133513126241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29944.

The product of its digits is 12960, while the sum is 32.

The spelling of 133513126241 in words is "one hundred thirty-three billion, five hundred thirteen million, one hundred twenty-six thousand, two hundred forty-one".

Divisors: 1 11 101 1111 4801 25031 52811 275341 484901 2528131 5333911 27809441 120173831 1321912141 12137556931 133513126241