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13101310102122 = 234117352025871
BaseRepresentation
bin1011111010100110001011…
…1011110100101001101010
31201101110202211022221210000
42332221202323310221222
53204122440341231442
643510354143403430
72521352451303534
oct276514273645152
951343684287700
1013101310102122
1141a1264002a20
1215771562b3576
137405a9a2bcc8
1433416d076854
1517abdd909d4c
hexbea62ef4a6a

13101310102122 has 40 divisors (see below), whose sum is σ = 32025424698432. Its totient is φ = 3970093969800.

The previous prime is 13101310102117. The next prime is 13101310102129. The reversal of 13101310102122 is 22120101310131.

13101310102122 is a `hidden beast` number, since 1 + 310 + 1 + 310 + 1 + 0 + 21 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13101310102095 and 13101310102104.

It is not an unprimeable number, because it can be changed into a prime (13101310102129) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3676011154 + ... + 3676014717.

Almost surely, 213101310102122 is an apocalyptic number.

13101310102122 is an abundant number, since it is smaller than the sum of its proper divisors (18924114596310).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13101310102122 is a wasteful number, since it uses less digits than its factorization.

13101310102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7352025896 (or 7352025887 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13101310102122 its reverse (22120101310131), we get a palindrome (35221411412253).

The spelling of 13101310102122 in words is "thirteen trillion, one hundred one billion, three hundred ten million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 7352025871 14704051742 22056077613 44112155226 66168232839 80872284581 132336465678 161744569162 198504698517 242616853743 397009397034 485233707486 595514095551 727850561229 1191028191102 1455701122458 2183551683687 4367103367374 6550655051061 13101310102122