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12417131301 = 341472638167
BaseRepresentation
bin10111001000001111…
…00110001100100101
31012001101000121220220
423210013212030211
5200412241200201
65412050114553
7616464605661
oct134407461445
935041017826
1012417131301
1152a2168593
1224a657ba59
13122b6c3893
1485b1a18a1
154ca1ba036
hex2e41e6325

12417131301 has 32 divisors (see below), whose sum is σ = 17388822528. Its totient is φ = 7873330560.

The previous prime is 12417131273. The next prime is 12417131317. The reversal of 12417131301 is 10313171421.

It is not a de Polignac number, because 12417131301 - 210 = 12417130277 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12417131201) 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, 1516320 + ... + 1524486.

It is an arithmetic number, because the mean of its divisors is an integer number (543400704).

Almost surely, 212417131301 is an apocalyptic number.

It is an amenable number.

12417131301 is a deficient number, since it is larger than the sum of its proper divisors (4971691227).

12417131301 is a wasteful number, since it uses less digits than its factorization.

12417131301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8521.

The product of its (nonzero) digits is 504, while the sum is 24.

The spelling of 12417131301 in words is "twelve billion, four hundred seventeen million, one hundred thirty-one thousand, three hundred one".

Divisors: 1 3 41 47 123 141 263 789 1927 5781 8167 10783 12361 24501 32349 37083 334847 383849 506801 1004541 1151547 1520403 2147921 6443763 15737809 47213427 88064761 100952287 264194283 302856861 4139043767 12417131301