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14220132124131 = 331761331505139
BaseRepresentation
bin1100111011101110000111…
…1011001000010111100011
31212100102122110100111202000
43032323201323020113203
53330440312310433011
650124345530255043
72665241062500033
oct316734173102743
955312573314660
1014220132124131
1145927a69586aa
121717b59587483
137c1c5012b2bb
143723881c98c3
15199d719db356
hexceee1ec85e3

14220132124131 has 32 divisors (see below), whose sum is σ = 22306497465600. Its totient is φ = 8922272699520.

The previous prime is 14220132124123. The next prime is 14220132124183. The reversal of 14220132124131 is 13142123102241.

14220132124131 is a `hidden beast` number, since 1 + 4 + 2 + 20 + 13 + 212 + 413 + 1 = 666.

It is not a de Polignac number, because 14220132124131 - 23 = 14220132124123 is a prime.

It is a super-2 number, since 2×142201321241312 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 14220132124095 and 14220132124104.

It is not an unprimeable number, because it can be changed into a prime (14220132124931) 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, 27898360 + ... + 28403498.

It is an arithmetic number, because the mean of its divisors is an integer number (697078045800).

Almost surely, 214220132124131 is an apocalyptic number.

14220132124131 is a deficient number, since it is larger than the sum of its proper divisors (8086365341469).

14220132124131 is a wasteful number, since it uses less digits than its factorization.

14220132124131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566496 (or 566490 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 14220132124131 its reverse (13142123102241), we get a palindrome (27362255226372).

The spelling of 14220132124131 in words is "fourteen trillion, two hundred twenty billion, one hundred thirty-two million, one hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 17 27 51 153 459 61331 183993 505139 551979 1042627 1515417 1655937 3127881 4546251 8587363 9383643 13638753 25762089 28150929 77286267 231858801 30980680009 92942040027 278826120081 526671560153 836478360243 1580014680459 4740044041377 14220132124131