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13123114011 = 327172720773
BaseRepresentation
bin11000011100011001…
…01101010000011011
31020212120110021010200
430032030231100123
5203334004122021
610010105513243
7643126425420
oct141614552033
936776407120
1013123114011
115624723877
122662aa2823
131311a49127
148c6c55d47
1551c170126
hex30e32d41b

13123114011 has 36 divisors (see below), whose sum is σ = 23012872272. Its totient is φ = 7057799424.

The previous prime is 13123114001. The next prime is 13123114021. The reversal of 13123114011 is 11041132131.

It is a happy number.

13123114011 is a `hidden beast` number, since 1 + 31 + 231 + 1 + 401 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13123114001) and next prime (13123114021).

It is not a de Polignac number, because 13123114011 - 26 = 13123113947 is a prime.

It is a super-2 number, since 2×131231140112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13123114001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 342180 + ... + 378593.

It is an arithmetic number, because the mean of its divisors is an integer number (639246452).

Almost surely, 213123114011 is an apocalyptic number.

13123114011 is a deficient number, since it is larger than the sum of its proper divisors (9889758261).

13123114011 is a wasteful number, since it uses less digits than its factorization.

13123114011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720820 (or 720800 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13123114011 its reverse (11041132131), we get a palindrome (24164246142).

The spelling of 13123114011 in words is "thirteen billion, one hundred twenty-three million, one hundred fourteen thousand, eleven".

Divisors: 1 3 7 9 17 21 51 63 119 153 289 357 867 1071 2023 2601 6069 18207 720773 2162319 5045411 6486957 12253141 15136233 36759423 45408699 85771987 110278269 208303397 257315961 624910191 771947883 1458123779 1874730573 4374371337 13123114011