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10540202193 = 34130125953
BaseRepresentation
bin10011101000011111…
…01011100011010001
31000012120020202020000
421310033223203101
5133041242432233
64501521040213
7522124145313
oct116417534321
930176222200
1010540202193
11451973aa04
122061a86069
13cbc8aa141
1471dbc17b3
1541a517d13
hex2743eb8d1

10540202193 has 10 divisors (see below), whose sum is σ = 15745240434. Its totient is φ = 7026801408.

The previous prime is 10540202191. The next prime is 10540202209. The reversal of 10540202193 is 39120204501.

10540202193 is a `hidden beast` number, since 10 + 540 + 2 + 0 + 21 + 93 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6993642384 + 3546559809 = 83628^2 + 59553^2 .

It is not a de Polignac number, because 10540202193 - 21 = 10540202191 is a prime.

It is a super-2 number, since 2×105402021932 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10540202191) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 65062896 + ... + 65063057.

Almost surely, 210540202193 is an apocalyptic number.

It is an amenable number.

10540202193 is a deficient number, since it is larger than the sum of its proper divisors (5205038241).

10540202193 is an equidigital number, since it uses as much as digits as its factorization.

10540202193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130125965 (or 130125956 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 10540202193 its reverse (39120204501), we get a palindrome (49660406694).

The spelling of 10540202193 in words is "ten billion, five hundred forty million, two hundred two thousand, one hundred ninety-three".

Divisors: 1 3 9 27 81 130125953 390377859 1171133577 3513400731 10540202193