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11313504522 = 2331773792137
BaseRepresentation
bin10101000100101011…
…00110000100001010
31002012110100120121000
422202111212010022
5141132224121042
65110343355430
7550234126125
oct124225460412
932173316530
1011313504522
1148861a6441
122238a52b76
1310b3b73198
1479479b3bc
1546336974c
hex2a256610a

11313504522 has 128 divisors (see below), whose sum is σ = 27339033600. Its totient is φ = 3454783488.

The previous prime is 11313504491. The next prime is 11313504547. The reversal of 11313504522 is 22540531311.

11313504522 is a `hidden beast` number, since 1 + 1 + 3 + 135 + 0 + 4 + 522 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5293038 + ... + 5295174.

It is an arithmetic number, because the mean of its divisors is an integer number (213586200).

Almost surely, 211313504522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11313504522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13669516800).

11313504522 is an abundant number, since it is smaller than the sum of its proper divisors (16025529078).

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

11313504522 is a wasteful number, since it uses less digits than its factorization.

11313504522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 11313504522 in words is "eleven billion, three hundred thirteen million, five hundred four thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 73 79 102 146 153 158 219 237 306 438 459 474 657 711 918 1241 1314 1343 1422 1971 2133 2137 2482 2686 3723 3942 4029 4266 4274 5767 6411 7446 8058 11169 11534 12087 12822 17301 19233 22338 24174 33507 34602 36261 36329 38466 51903 57699 67014 72522 72658 98039 103806 108987 115398 155709 156001 168823 196078 217974 294117 311418 312002 326961 337646 468003 506469 588234 653922 882351 936006 980883 1012938 1404009 1519407 1764702 1961766 2647053 2652017 2808018 2869991 3038814 4212027 4558221 5294106 5304034 5739982 7956051 8424054 8609973 9116442 12324079 15912102 17219946 23868153 24648158 25829919 36972237 47736306 51659838 71604459 73944474 77489757 110916711 143208918 154979514 209509343 221833422 332750133 419018686 628528029 665500266 1257056058 1885584087 3771168174 5656752261 11313504522