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121144304304023 = 711132925791618153
BaseRepresentation
bin11011100010111000011011…
…001110010111111110010111
3120212221021121212012122021012
4123202320123032113332113
5111334312013400212043
61105352531453242435
734342246536242630
oct3342703316277627
9525837555178235
10121144304304023
11356670136105a0
12117066b249341b
135279b21c52a50
1421cb5b662c887
15e01394922a18
hex6e2e1b397f97

121144304304023 has 64 divisors (see below), whose sum is σ = 168329440742400. Its totient is φ = 84099372456960.

The previous prime is 121144304304011. The next prime is 121144304304043. The reversal of 121144304304023 is 320403403441121.

It is not a de Polignac number, because 121144304304023 - 216 = 121144304238487 is a prime.

It is a super-3 number, since 3×1211443043040233 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121144304304043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74056715 + ... + 75674867.

It is an arithmetic number, because the mean of its divisors is an integer number (2630147511600).

Almost surely, 2121144304304023 is an apocalyptic number.

121144304304023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

121144304304023 is a deficient number, since it is larger than the sum of its proper divisors (47185136438377).

121144304304023 is a wasteful number, since it uses less digits than its factorization.

121144304304023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620792.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 121144304304023 its reverse (320403403441121), we get a palindrome (441547707745144).

The spelling of 121144304304023 in words is "one hundred twenty-one trillion, one hundred forty-four billion, three hundred four million, three hundred four thousand, twenty-three".

Divisors: 1 7 11 13 29 77 91 143 203 319 377 1001 2233 2579 2639 4147 18053 28369 29029 33527 74791 198583 234689 368797 523537 822701 972283 1618153 2581579 5758907 6805981 10695113 11327071 17799683 21035989 46926437 74865791 124597781 147251923 231395879 328485059 516190807 610043681 1619771153 3613335649 4173216587 4270305767 6710480491 29212516109 45905382457 46973363437 54251815631 121023281023 321337677199 379762709417 596769971941 847162967161 1331256091253 1573302653299 4177389803587 9318792638771 11013118573093 17306329186289 121144304304023