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10144122203131 = 75418693308141
BaseRepresentation
bin1001001110011101110011…
…0011001110101111111011
31022220202202022120202012121
42103213130303032233323
52312200130241000011
633324051224022111
72064613543015450
oct223473463165773
938822668522177
1010144122203131
113261109588404
121179bba001937
13587781a57867
14270d9a001827
15128d129c7e71
hex939dcccebfb

10144122203131 has 16 divisors (see below), whose sum is σ = 11616085672128. Its totient is φ = 8677863331200.

The previous prime is 10144122203087. The next prime is 10144122203177. The reversal of 10144122203131 is 13130222144101.

It is not a de Polignac number, because 10144122203131 - 27 = 10144122203003 is a prime.

It is a super-2 number, since 2×101441222031312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10144122203096 and 10144122203105.

It is not an unprimeable number, because it can be changed into a prime (10144122206131) 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, 32766321 + ... + 33074461.

It is an arithmetic number, because the mean of its divisors is an integer number (726005354508).

Almost surely, 210144122203131 is an apocalyptic number.

10144122203131 is a deficient number, since it is larger than the sum of its proper divisors (1471963468997).

10144122203131 is an equidigital number, since it uses as much as digits as its factorization.

10144122203131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317382.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 10144122203131 its reverse (13130222144101), we get a palindrome (23274344347232).

The spelling of 10144122203131 in words is "ten trillion, one hundred forty-four billion, one hundred twenty-two million, two hundred three thousand, one hundred thirty-one".

Divisors: 1 7 541 3787 8693 60851 308141 2156987 4702913 32920391 166704281 1166929967 2678669713 18750687991 1449160314733 10144122203131