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123000141031311 = 3314323891838807
BaseRepresentation
bin11011111101111000110011…
…101101101010011110001111
3121010111200212022102102222110
4123331320303231222132033
5112110213242101000221
61113333252411115103
734623316105165245
oct3375706355523617
9533450768372873
10123000141031311
1136212081006895
1211966302442a93
135382b2c23844b
14225334a998795
15e347b1456776
hex6fde33b6a78f

123000141031311 has 48 divisors (see below), whose sum is σ = 173764708116480. Its totient is φ = 77310171046080.

The previous prime is 123000141031309. The next prime is 123000141031333. The reversal of 123000141031311 is 113130141000321.

It is not a de Polignac number, because 123000141031311 - 21 = 123000141031309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123000141031711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65971870 + ... + 67810676.

It is an arithmetic number, because the mean of its divisors is an integer number (3620098085760).

Almost surely, 2123000141031311 is an apocalyptic number.

123000141031311 is a deficient number, since it is larger than the sum of its proper divisors (50764567085169).

123000141031311 is a wasteful number, since it uses less digits than its factorization.

123000141031311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839316 (or 1839273 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 123000141031311 its reverse (113130141000321), we get a palindrome (236130282031632).

The spelling of 123000141031311 in words is "one hundred twenty-three trillion, one hundred forty-one million, thirty-one thousand, three hundred eleven".

Divisors: 1 3 31 43 93 129 389 1167 1333 1849 3999 5547 12059 16727 36177 50181 57319 171957 518537 719261 1555611 1838807 2157783 5516421 22297091 57003017 66891273 79068701 171009051 237206103 715295923 2145887769 2451129731 3399954143 7353389193 10199862429 22174173613 30757724689 66522520839 92273174067 105398578433 316195735299 953489465359 1322582161627 2860468396077 3967746484881 41000047010437 123000141031311