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10131042144301 = 137347512246999
BaseRepresentation
bin1001001101101101000100…
…1010110001000000101101
31022212111222202010220200021
42103123101022301000231
52311441333242104201
633314045253002141
72063641445241241
oct223332112610055
938774882126607
1010131042144301
1132566071a1631
121177569623351
13586478c04a90
142704b8b96421
151287e950eea1
hex936d12b102d

10131042144301 has 16 divisors (see below), whose sum is σ = 11062142784000. Its totient is φ = 9221679792000.

The previous prime is 10131042144277. The next prime is 10131042144373. The reversal of 10131042144301 is 10344124013101.

It is a de Polignac number, because none of the positive numbers 2k-10131042144301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131042144701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3385200 + ... + 5632198.

It is an arithmetic number, because the mean of its divisors is an integer number (691383924000).

Almost surely, 210131042144301 is an apocalyptic number.

It is an amenable number.

10131042144301 is a deficient number, since it is larger than the sum of its proper divisors (931100639699).

10131042144301 is a wasteful number, since it uses less digits than its factorization.

10131042144301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251836.

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

Adding to 10131042144301 its reverse (10344124013101), we get a palindrome (20475166157402).

The spelling of 10131042144301 in words is "ten trillion, one hundred thirty-one billion, forty-two million, one hundred forty-four thousand, three hundred one".

Divisors: 1 13 73 949 4751 61763 346823 2246999 4508699 29210987 164030927 2132402051 10675492249 138781399237 779310934177 10131042144301