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11323313220102 = 23134165911294759
BaseRepresentation
bin1010010011000110101000…
…0011111110101000000110
31111002111110011111222211220
42210301222003332220012
52441010121141020402
640025505215541210
72246040154205502
oct244615203765006
944074404458756
1011323313220102
113676210129564
12132a64a82a806
13641a2618b050
142b20a0a1b302
1514982a8e8dbc
hexa4c6a0fea06

11323313220102 has 128 divisors (see below), whose sum is σ = 25048856448000. Its totient is φ = 3390241720320.

The previous prime is 11323313220101. The next prime is 11323313220173. The reversal of 11323313220102 is 20102231332311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11323313220101) 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, 2379344799 + ... + 2379349557.

It is an arithmetic number, because the mean of its divisors is an integer number (195694191000).

Almost surely, 211323313220102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11323313220102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12524428224000).

11323313220102 is an abundant number, since it is smaller than the sum of its proper divisors (13725543227898).

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

11323313220102 is a wasteful number, since it uses less digits than its factorization.

11323313220102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6606.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11323313220102 its reverse (20102231332311), we get a palindrome (31425544552413).

The spelling of 11323313220102 in words is "eleven trillion, three hundred twenty-three billion, three hundred thirteen million, two hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 246 533 659 1066 1129 1318 1599 1977 2258 3198 3387 3954 4759 6774 8567 9518 14277 14677 17134 25701 27019 28554 29354 44031 46289 51402 54038 61867 81057 88062 92578 123734 138867 162114 185601 195119 277734 351247 371202 390238 585357 601757 702494 744011 1053741 1170714 1203514 1488022 1805271 2107482 2232033 2536547 3136181 3610542 4464066 5073094 5372911 6272362 7609641 9408543 9672143 10745822 15219282 16118733 18817086 19344286 29016429 30504451 32237466 40770353 58032858 61008902 69847843 81540706 91513353 122311059 128583421 139695686 183026706 209543529 220289351 244622118 257166842 385750263 396557863 419087058 440578702 660868053 771500526 793115726 1189673589 1321736106 1671584473 2379347178 2863761563 3343168946 3540748349 5014753419 5727523126 7081496698 8591284689 10029506838 10622245047 17182569378 21244490094 46029728537 92059457074 138089185611 145170682309 276178371222 290341364618 435512046927 871024093854 1887218870017 3774437740034 5661656610051 11323313220102