Search a number
-
+
119033576883001 = 1124744492
BaseRepresentation
bin11011000100001010101010…
…000100010000001100111001
3120121110111110122011222212201
4123010022222010100030321
5111100221231140224001
61101055134215310201
734033615000215244
oct3304125204201471
9517414418158781
10119033576883001
1134a22946a51500
121142560807b361
135155a835a1251
14215738212425b
15db650aa60501
hex6c42aa110339

119033576883001 has 45 divisors (see below), whose sum is σ = 133981273442863. Its totient is φ = 105674072725760.

The previous prime is 119033576882963. The next prime is 119033576883121. The reversal of 119033576883001 is 100388675330911.

The square root of 119033576883001 is 10910251.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 72742971044601 + 46290605838400 = 8528949^2 + 6803720^2 .

It is not a de Polignac number, because 119033576883001 - 213 = 119033576874809 is a prime.

It is a super-2 number, since 2×1190335768830012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (119033576983001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 265108188825 + ... + 265108189273.

Almost surely, 2119033576883001 is an apocalyptic number.

119033576883001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

119033576883001 is the 10910251-st square number.

119033576883001 is the 5455126-th centered octagonal number.

It is an amenable number.

119033576883001 is a deficient number, since it is larger than the sum of its proper divisors (14947696559862).

119033576883001 is an frugal number, since it uses more digits than its factorization.

119033576883001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 119033576883001 in words is "one hundred nineteen trillion, thirty-three billion, five hundred seventy-six million, eight hundred eighty-three thousand, one".

Divisors: 1 11 47 121 449 517 2209 4939 5687 21103 24299 54329 103823 201601 232133 267289 991841 1142053 2217611 2553463 4879681 9475247 10910251 12562583 24393721 46616527 53676491 104227717 120012761 445336609 512781797 590441401 1146504887 2190976769 4898702699 5640599767 20930820623 24100744459 53885729689 230239026853 265108189049 983748569281 2532629295383 10821234262091 119033576883001