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10141131413023 = 1383127178741413
BaseRepresentation
bin1001001110010010101010…
…0010010001011000011111
31022220111000212212212110121
42103210222202101120133
52312123014120204043
633322434345015411
72064446455511662
oct223445242213037
938814025785417
1010141131413023
11325a914338546
121179504484567
135873c6249380
14270b94b156d9
15128bda152ded
hex9392a89161f

10141131413023 has 32 divisors (see below), whose sum is σ = 11146332266496. Its totient is φ = 9170083778688.

The previous prime is 10141131413003. The next prime is 10141131413029. The reversal of 10141131413023 is 32031413114101.

It is a cyclic number.

It is not a de Polignac number, because 10141131413023 - 217 = 10141131281951 is a prime.

It is a super-2 number, since 2×101411314130232 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141131413029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244857265 + ... + 244898677.

It is an arithmetic number, because the mean of its divisors is an integer number (348322883328).

Almost surely, 210141131413023 is an apocalyptic number.

10141131413023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10141131413023 is a deficient number, since it is larger than the sum of its proper divisors (1005200853473).

10141131413023 is a wasteful number, since it uses less digits than its factorization.

10141131413023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43423.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 10141131413023 its reverse (32031413114101), we get a palindrome (42172544527124).

The spelling of 10141131413023 in words is "ten trillion, one hundred forty-one billion, one hundred thirty-one million, four hundred thirteen thousand, twenty-three".

Divisors: 1 13 83 127 1079 1651 1787 10541 23231 41413 137033 148321 226949 538369 1928173 2950337 3437279 5259451 18836767 44684627 68372863 74005031 244877971 436534433 962065403 5674947629 6142417573 9398638937 79851428449 122182306181 780087031771 10141131413023