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11010113131302 = 23317101145181839
BaseRepresentation
bin1010000000110111110111…
…1000011101001100100110
31102222120000201021222102000
42200031331320131030212
52420342202430200202
635225550503030130
72214311603321205
oct240157570351446
942876021258360
1011010113131302
1135653a991416a
121299a0073b346
1361b3316a1c0c
142a0c6c74723c
151415e946291c
hexa037de1d326

11010113131302 has 128 divisors (see below), whose sum is σ = 26180995737600. Its totient is φ = 3417554880000.

The previous prime is 11010113131267. The next prime is 11010113131361. The reversal of 11010113131302 is 20313131101011.

11010113131302 is a `hidden beast` number, since 110 + 10 + 113 + 131 + 302 = 666.

11010113131302 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134492899 + ... + 134574737.

It is an arithmetic number, because the mean of its divisors is an integer number (204539029200).

Almost surely, 211010113131302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11010113131302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13090497868800).

11010113131302 is an abundant number, since it is smaller than the sum of its proper divisors (15170882606298).

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

11010113131302 is a wasteful number, since it uses less digits than its factorization.

11010113131302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83419 (or 83413 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11010113131302 its reverse (20313131101011), we get a palindrome (31323244232313).

The spelling of 11010113131302 in words is "eleven trillion, ten billion, one hundred thirteen million, one hundred thirty-one thousand, three hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 101 102 153 202 303 306 459 606 909 918 1451 1717 1818 2727 2902 3434 4353 5151 5454 8706 10302 13059 15453 24667 26118 30906 39177 46359 49334 74001 78354 81839 92718 146551 148002 163678 222003 245517 293102 439653 444006 491034 666009 736551 879306 1318959 1332018 1391263 1473102 2209653 2491367 2637918 2782526 3956877 4173789 4419306 4982734 7474101 7913754 8265739 8347578 12521367 14948202 16531478 22422303 24797217 25042734 37564101 44844606 49594434 67266909 74391651 75128202 118748389 134533818 140517563 148783302 223174953 237496778 281035126 356245167 421552689 446349906 712490334 843105378 1068735501 1264658067 2018722613 2137471002 2529316134 3206206503 3793974201 4037445226 6056167839 6412413006 7587948402 11993587289 12112335678 18168503517 23987174578 35980761867 36337007034 54505510551 71961523734 107942285601 109011021102 203890983913 215884571202 323826856803 407781967826 611672951739 647653713606 1223345903478 1835018855217 3670037710434 5505056565651 11010113131302