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13101030011142 = 2334783102160913
BaseRepresentation
bin1011111010100101001000…
…1111010111000100000110
31201101110001022021212012000
42332221102033113010012
53204121402140324032
643510310300210130
72521342510464003
oct276512217270406
951343038255160
1013101030011142
1141a112a997477
121577098539946
137405639b20b8
14334143ba68aa
1517abc402ee7c
hexbea523d7106

13101030011142 has 128 divisors (see below), whose sum is σ = 30121027614720. Its totient is φ = 4218394775040.

The previous prime is 13101030011093. The next prime is 13101030011143. The reversal of 13101030011142 is 24111003010131.

It is a happy number.

13101030011142 is a `hidden beast` number, since 1 + 310 + 1 + 0 + 300 + 1 + 11 + 42 = 666.

13101030011142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101030011143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215047278 + ... + 215108190.

It is an arithmetic number, because the mean of its divisors is an integer number (235320528240).

Almost surely, 213101030011142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13101030011142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15060513807360).

13101030011142 is an abundant number, since it is smaller than the sum of its proper divisors (17019997603578).

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

13101030011142 is a wasteful number, since it uses less digits than its factorization.

13101030011142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62075 (or 62069 counting only the distinct ones).

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

Adding to 13101030011142 its reverse (24111003010131), we get a palindrome (37212033021273).

The spelling of 13101030011142 in words is "thirteen trillion, one hundred one billion, thirty million, eleven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 47 54 83 94 141 166 249 282 423 498 747 846 1021 1269 1494 2042 2241 2538 3063 3901 4482 6126 7802 9189 11703 18378 23406 27567 35109 47987 55134 60913 70218 84743 95974 105327 121826 143961 169486 182739 210654 254229 287922 365478 431883 508458 548217 762687 863766 1096434 1295649 1525374 1644651 2288061 2591298 2862911 3289302 3982921 4576122 5055779 5725822 7965842 8588733 10111558 11948763 15167337 17177466 23897526 25766199 30334674 35846289 45502011 51532398 62192173 71692578 77298597 91004022 107538867 124384346 136506033 154597194 186576519 215077734 237621613 273012066 373153038 475243226 559729557 712864839 1119459114 1425729678 1679188671 2138594517 2923032131 3358377342 4277189034 5161950359 5846064262 6415783551 8769096393 10323900718 12831567102 15485851077 17538192786 26307289179 30971702154 46457553231 52614578358 78921867537 92915106462 139372659693 157843735074 242611666873 278745319386 485223333746 727835000619 1455670001238 2183505001857 4367010003714 6550515005571 13101030011142