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11301312220107 = 37131729631133073
BaseRepresentation
bin1010010001110100101010…
…1100110100101111001011
31111000101122212202101122020
42210131022230310233023
52440130041412020412
640011430130055523
72244331023613410
oct244351254645713
944011585671566
1011301312220107
11366795013a638
12132632a71a5a3
1363c92b078b60
142b0db4a9a107
15148e8e16e18c
hexa474ab34bcb

11301312220107 has 128 divisors (see below), whose sum is σ = 20346141634560. Its totient is φ = 5408386744320.

The previous prime is 11301312220063. The next prime is 11301312220117. The reversal of 11301312220107 is 70102221310311.

It is not a de Polignac number, because 11301312220107 - 26 = 11301312220043 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11301312220117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84859123 + ... + 84992195.

It is an arithmetic number, because the mean of its divisors is an integer number (158954231520).

Almost surely, 211301312220107 is an apocalyptic number.

11301312220107 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

11301312220107 is a deficient number, since it is larger than the sum of its proper divisors (9044829414453).

11301312220107 is a wasteful number, since it uses less digits than its factorization.

11301312220107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133773.

The product of its (nonzero) digits is 504, while the sum is 24.

Adding to 11301312220107 its reverse (70102221310311), we get a palindrome (81403533530418).

The spelling of 11301312220107 in words is "eleven trillion, three hundred one billion, three hundred twelve million, two hundred twenty thousand, one hundred seven".

Divisors: 1 3 7 13 17 21 29 39 51 87 91 119 203 221 273 357 377 493 609 631 663 1131 1479 1547 1893 2639 3451 4417 4641 6409 7917 8203 10353 10727 13251 18299 19227 24609 32181 44863 54897 57421 75089 128093 133073 134589 139451 172263 225267 237887 311083 384279 399219 418353 713661 931511 933249 976157 1665209 1729949 2177581 2262241 2794533 2928471 3859117 4044079 4995627 5189847 6532743 6786723 11577351 12109643 12132237 15835687 27013819 28308553 29409133 36328929 47507061 50168521 65604989 81041457 83969063 84925659 88227399 150505563 196814967 205863931 251907189 351179647 459234923 587783441 617591793 852864857 1053538941 1091597819 1377704769 1427474071 1763350323 2435102827 2558594571 3274793457 4282422213 5970053999 7305308481 7641184733 9992318497 17045719789 17910161997 18557162923 22923554199 29976955491 31656336751 41396748059 51137159367 55671488769 94969010253 124190244177 129900140461 221594357257 289777236413 389700421383 538157724767 664783071771 869331709239 1614473174301 3767104073369 11301312220107