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1122132300309 = 3423315326917
BaseRepresentation
bin10000010101000100010…
…011000001001000010101
310222021102022220010010000
4100111010103001020111
5121341111332102214
62215300033321513
7144033325114266
oct20250423011025
93867368803100
101122132300309
113a299147a879
12161587a06299
1381a8016ca67
143c450a4696d
151e2c8a14809
hex105444c1215

1122132300309 has 120 divisors (see below), whose sum is σ = 1840553713152. Its totient is φ = 679316077440.

The previous prime is 1122132300299. The next prime is 1122132300313. The reversal of 1122132300309 is 9030032312211.

1122132300309 is a `hidden beast` number, since 1 + 1 + 2 + 21 + 32 + 300 + 309 = 666.

It is not a de Polignac number, because 1122132300309 - 24 = 1122132300293 is a prime.

It is a super-2 number, since 2×11221323003092 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122132300319) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 162224719 + ... + 162231635.

Almost surely, 21122132300309 is an apocalyptic number.

It is an amenable number.

1122132300309 is a deficient number, since it is larger than the sum of its proper divisors (718421412843).

1122132300309 is an equidigital number, since it uses as much as digits as its factorization.

1122132300309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7089 (or 7027 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 1122132300309 in words is "one trillion, one hundred twenty-two billion, one hundred thirty-two million, three hundred thousand, three hundred nine".

Divisors: 1 3 9 23 27 31 53 69 81 93 159 207 279 477 621 713 837 1219 1431 1643 1863 2139 2511 2809 3657 4293 4929 6417 6917 8427 10971 14787 19251 20751 25281 32913 37789 44361 57753 62253 64607 75843 87079 98739 113367 133083 159091 186759 193821 214427 227529 261237 340101 366601 477273 560277 581463 643281 783711 1020303 1099803 1431819 1744389 1929843 2002817 2351133 3060909 3299409 4295457 4931821 5233167 5789529 6008451 7053399 8431823 9898227 11364631 12886371 14795463 17368587 18025353 19429853 25295469 29694681 34093893 44386389 54076059 58289559 75886407 102281679 133159167 162228177 174868677 227659221 261386513 306845037 399477501 446886619 524606031 602325443 682977663 784159539 920535111 1340659857 1573818093 1806976329 2352478617 4021979571 5420928987 7057435851 12065938713 13853485189 16262786961 21172307553 36197816139 41560455567 48788360883 124681366701 374044100103 1122132300309