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10135362371217 = 319078537207521
BaseRepresentation
bin1001001101111101001010…
…1011000111111010010001
31022212221010211102011212120
42103133102223013322101
52312024210231334332
633320042102244453
72064153504460056
oct223372253077221
938787124364776
1010135362371217
113258423914aa6
121178374426729
135869b6c86a75
142707a886702d
1512899d93c32c
hex937d2ac7e91

10135362371217 has 16 divisors (see below), whose sum is σ = 13522551884352. Its totient is φ = 6752541424640.

The previous prime is 10135362371161. The next prime is 10135362371243. The reversal of 10135362371217 is 71217326353101.

It is a cyclic number.

It is not a de Polignac number, because 10135362371217 - 224 = 10135345594001 is a prime.

It is a super-2 number, since 2×101353623712172 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10135362871217) 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, 48736417 + ... + 48943937.

It is an arithmetic number, because the mean of its divisors is an integer number (845159492772).

Almost surely, 210135362371217 is an apocalyptic number.

It is an amenable number.

10135362371217 is a deficient number, since it is larger than the sum of its proper divisors (3387189513135).

10135362371217 is a wasteful number, since it uses less digits than its factorization.

10135362371217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217968.

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 10135362371217 in words is "ten trillion, one hundred thirty-five billion, three hundred sixty-two million, three hundred seventy-one thousand, two hundred seventeen".

Divisors: 1 3 1907 5721 8537 25611 207521 622563 16280059 48840177 395742547 1187227641 1771606777 5314820331 3378454123739 10135362371217