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131000022222023 = 17295367109768213
BaseRepresentation
bin11101110010010011010001…
…110010100100010011000111
3122011211110221210020201010202
4131302103101302210103013
5114132301021142101043
61142340325052441115
736410303446302653
oct3562232162442307
9564743853221122
10131000022222023
1138816885420929
121283882247919b
135813331331646
14244c61354ba63
151022927c4e1b8
hex7724d1ca44c7

131000022222023 has 64 divisors (see below), whose sum is σ = 148515673599360. Its totient is φ = 114946732572672.

The previous prime is 131000022222007. The next prime is 131000022222029. The reversal of 131000022222023 is 320222220000131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131000022222023 - 24 = 131000022222007 is a prime.

It is a super-2 number, since 2×1310000222220232 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131000022221986 and 131000022222004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131000022222029) 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 63 ways as a sum of consecutive naturals, for example, 1920421265 + ... + 1920489477.

It is an arithmetic number, because the mean of its divisors is an integer number (2320557399990).

Almost surely, 2131000022222023 is an apocalyptic number.

131000022222023 is a deficient number, since it is larger than the sum of its proper divisors (17515651377337).

131000022222023 is a wasteful number, since it uses less digits than its factorization.

131000022222023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69476.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 131000022222023 its reverse (320222220000131), we get a palindrome (451222242222154).

The spelling of 131000022222023 in words is "one hundred thirty-one trillion, twenty-two million, two hundred twenty-two thousand, twenty-three".

Divisors: 1 17 29 53 67 493 901 1097 1139 1537 1943 3551 18649 26129 31813 33031 58141 60367 68213 73499 102979 540821 988397 1159621 1249483 1686089 1750643 1978177 2131471 3615289 3895447 4570271 28663513 33629009 36235007 61459913 66222599 74829661 77694607 104843381 112967963 132537859 242224363 1272104237 1782337477 1920455371 2170060169 2253143603 3965972033 4117814171 5013587287 7024506527 36891022873 67421524561 85230983879 115013188957 119416610959 145394031323 265720126211 1955224212269 2471698532491 4517242145587 7705883660119 131000022222023