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10520315641 = 1147101201473
BaseRepresentation
bin10011100110000111…
…10100011011111001
31000011011211102000001
421303003310123321
5133021200100031
64455530513001
7521463131113
oct116303643371
930134742001
1010520315641
114509497940
122057295761
13cb8736554
1471b2c63b3
154188da861
hex2730f46f9

10520315641 has 16 divisors (see below), whose sum is σ = 11837000448. Its totient is φ = 9267712000.

The previous prime is 10520315633. The next prime is 10520315693. The reversal of 10520315641 is 14651302501.

It is a cyclic number.

It is not a de Polignac number, because 10520315641 - 23 = 10520315633 is a prime.

It is a super-2 number, since 2×105203156412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10520315441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48520 + ... + 152953.

It is an arithmetic number, because the mean of its divisors is an integer number (739812528).

Almost surely, 210520315641 is an apocalyptic number.

10520315641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10520315641 is a deficient number, since it is larger than the sum of its proper divisors (1316684807).

10520315641 is a wasteful number, since it uses less digits than its factorization.

10520315641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201632.

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 10520315641 in words is "ten billion, five hundred twenty million, three hundred fifteen thousand, six hundred forty-one".

Divisors: 1 11 47 101 517 1111 4747 52217 201473 2216203 9469231 20348773 104161541 223836503 956392331 10520315641