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10123040112141 = 3111719393495517
BaseRepresentation
bin1001001101001111010000…
…1101011011111000001101
31022211202100001220120011210
42103103310031123320031
52311323441232042031
633310243241405033
72063236241135355
oct223236415337015
938752301816153
1010123040112141
113253180266410
121175ab5799779
135857a212c9c8
1426dd5a11db65
151284cbc62746
hex934f435be0d

10123040112141 has 32 divisors (see below), whose sum is σ = 15671344745088. Its totient is φ = 5744364503040.

The previous prime is 10123040112121. The next prime is 10123040112187. The reversal of 10123040112141 is 14121104032101.

It is not a de Polignac number, because 10123040112141 - 211 = 10123040110093 is a prime.

It is a super-2 number, since 2×101230401121412 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123040112121) 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 31 ways as a sum of consecutive naturals, for example, 46639486 + ... + 46856031.

It is an arithmetic number, because the mean of its divisors is an integer number (489729523284).

Almost surely, 210123040112141 is an apocalyptic number.

10123040112141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10123040112141 is a deficient number, since it is larger than the sum of its proper divisors (5548304632947).

10123040112141 is a wasteful number, since it uses less digits than its factorization.

10123040112141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93495741.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 10123040112141 its reverse (14121104032101), we get a palindrome (24244144144242).

The spelling of 10123040112141 in words is "ten trillion, one hundred twenty-three billion, forty million, one hundred twelve thousand, one hundred forty-one".

Divisors: 1 3 11 17 33 51 187 193 561 579 2123 3281 6369 9843 36091 108273 93495517 280486551 1028450687 1589423789 3085352061 4768271367 17483661679 18044634781 52450985037 54133904343 198490982591 306758791277 595472947773 920276373831 3374346704047 10123040112141