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11313302232102 = 23132157446315923
BaseRepresentation
bin1010010010100001010101…
…0111000101110000100110
31111001112121111002010000120
42210220111113011300212
52440324120332411402
640021132001422410
72245234114210533
oct244502527056046
944045544063016
1011313302232102
113671a4319a062
12132871603aa06
13640abc124400
142b17d1237d8a
15149441aba3bc
hexa4a155c5c26

11313302232102 has 96 divisors (see below), whose sum is σ = 24664128680448. Its totient is φ = 3457851815808.

The previous prime is 11313302232091. The next prime is 11313302232107. The reversal of 11313302232102 is 20123220331311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313302232107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 710492713 + ... + 710508635.

It is an arithmetic number, because the mean of its divisors is an integer number (256918007088).

Almost surely, 211313302232102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11313302232102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12332064340224).

11313302232102 is an abundant number, since it is smaller than the sum of its proper divisors (13350826448346).

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

11313302232102 is a wasteful number, since it uses less digits than its factorization.

11313302232102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20574 (or 20561 counting only the distinct ones).

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

Adding to 11313302232102 its reverse (20123220331311), we get a palindrome (31436522563413).

The spelling of 11313302232102 in words is "eleven trillion, three hundred thirteen billion, three hundred two million, two hundred thirty-two thousand, one hundred two".

Divisors: 1 2 3 6 13 26 39 78 157 169 314 338 471 507 942 1014 2041 4082 4463 6123 8926 12246 13389 15923 26533 26778 31846 47769 53066 58019 79599 95538 116038 159198 174057 206999 348114 413998 620997 700691 754247 1241994 1401382 1508494 2102073 2262741 2499911 2690987 4204146 4525482 4999822 5381974 7499733 8072961 9108983 14999466 16145922 18217966 27326949 32498843 54653898 64997686 71064349 97496529 118416779 142128698 194993058 213193047 236833558 355250337 422484959 426386094 710500674 844969918 923836537 1267454877 1847673074 2534909754 2771509611 5543019222 11157102793 12009874981 22314205586 24019749962 33471308379 36029624943 66942616758 72059249886 145042336309 290084672618 435127008927 870254017854 1885550372017 3771100744034 5656651116051 11313302232102