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10140253350341 = 61831012000381
BaseRepresentation
bin1001001110001111011000…
…1100101110100111000101
31022220101202200122122220112
42103203312030232213011
52312114214324202331
633322211301042405
72064415634221322
oct223436614564705
938811680578815
1010140253350341
11325a50372a004
1211792ba3b6405
135872b6363b5a
14270b10269b49
15128b8800b32b
hex938f632e9c5

10140253350341 has 8 divisors (see below), whose sum is σ = 10306616187768. Its totient is φ = 9973894680000.

The previous prime is 10140253350319. The next prime is 10140253350343. The reversal of 10140253350341 is 14305335204101.

It can be written as a sum of positive squares in 4 ways, for example, as 539681236900 + 9600572113441 = 734630^2 + 3098479^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10140253350341 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10140253350298 and 10140253350307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140253350343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4068971 + ... + 6069351.

It is an arithmetic number, because the mean of its divisors is an integer number (1288327023471).

Almost surely, 210140253350341 is an apocalyptic number.

It is an amenable number.

10140253350341 is a deficient number, since it is larger than the sum of its proper divisors (166362837427).

10140253350341 is an equidigital number, since it uses as much as digits as its factorization.

10140253350341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083543.

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 10140253350341 its reverse (14305335204101), we get a palindrome (24445588554442).

The spelling of 10140253350341 in words is "ten trillion, one hundred forty billion, two hundred fifty-three million, three hundred fifty thousand, three hundred forty-one".

Divisors: 1 61 83101 2000381 5069161 122023241 166233661481 10140253350341