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10241410214431 = 117271619791017
BaseRepresentation
bin1001010100001000001110…
…0111100010101000011111
31100021001212111010210100101
42111002003213202220133
52320243402003330211
633440501111441531
72104626456326404
oct225020347425037
940231774123311
1010241410214431
1132993a3089230
121194a2b6862a7
135939b7743a56
14275988bcc2ab
1512b608ab05c1
hex950839e2a1f

10241410214431 has 16 divisors (see below), whose sum is σ = 11194739861760. Its totient is φ = 9291811826880.

The previous prime is 10241410214363. The next prime is 10241410214461. The reversal of 10241410214431 is 13441201414201.

It is a happy number.

It is not a de Polignac number, because 10241410214431 - 221 = 10241408117279 is a prime.

It is a super-2 number, since 2×102414102144312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10241410214431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10241410214461) 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, 12551635 + ... + 13342651.

It is an arithmetic number, because the mean of its divisors is an integer number (699671241360).

Almost surely, 210241410214431 is an apocalyptic number.

10241410214431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10241410214431 is a deficient number, since it is larger than the sum of its proper divisors (953329647329).

10241410214431 is a wasteful number, since it uses less digits than its factorization.

10241410214431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793374.

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 10241410214431 its reverse (13441201414201), we get a palindrome (23682611628632).

The spelling of 10241410214431 in words is "ten trillion, two hundred forty-one billion, four hundred ten million, two hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 11 727 1619 7997 17809 791017 1177013 8701187 12947143 575069359 1280656523 6325762949 14087221753 931037292221 10241410214431