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114313115524113 = 3211192919121109597
BaseRepresentation
bin11001111111011110011000…
…101001001101110000010001
3112222202020010120100011112200
4121333132120221031300101
5104440401230033232423
61043042415330113413
733035564365543062
oct3177363051156021
9488666116304480
10114313115524113
1133472a13638490
12109a279311b869
134ba28b01b803c
142032ada220569
15d3382e4ecd43
hex67f798a4dc11

114313115524113 has 96 divisors (see below), whose sum is σ = 196160604681600. Its totient is φ = 63367179724800.

The previous prime is 114313115523983. The next prime is 114313115524123. The reversal of 114313115524113 is 311425511313411.

114313115524113 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 1 + 3 + 1 + 15 + 524 + 113 = 666.

It is not a de Polignac number, because 114313115524113 - 212 = 114313115520017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114313115524123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1042976631 + ... + 1043086227.

It is an arithmetic number, because the mean of its divisors is an integer number (2043339632100).

Almost surely, 2114313115524113 is an apocalyptic number.

It is an amenable number.

114313115524113 is a deficient number, since it is larger than the sum of its proper divisors (81847489157487).

114313115524113 is a wasteful number, since it uses less digits than its factorization.

114313115524113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128783 (or 128780 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

Adding to 114313115524113 its reverse (311425511313411), we get a palindrome (425738626837524).

The spelling of 114313115524113 in words is "one hundred fourteen trillion, three hundred thirteen billion, one hundred fifteen million, five hundred twenty-four thousand, one hundred thirteen".

Divisors: 1 3 9 11 19 29 33 57 87 99 171 209 261 319 551 627 957 1653 1881 2871 4959 6061 18183 19121 54549 57363 109597 172089 210331 328791 363299 554509 630993 986373 1089897 1205567 1663527 1892979 2082343 3178313 3269691 3616701 3996289 4990581 6099599 6247029 9534939 10535671 10850103 11988867 18298797 18741087 22905773 28604817 31607013 34961443 35966601 54896391 60387947 68717319 94821039 104884329 115892381 181163841 206151957 314652987 347677143 543491523 664267417 1043031429 1992802251 2095604237 5978406753 6286812711 18860438133 23051646607 39816480503 60772522873 69154939821 119449441509 182317568619 207464819463 358348324527 437981285533 546952705857 668497751603 1154677934587 1313943856599 2005493254809 3464033803761 3941831569797 6016479764427 10392101411283 12701457280457 38104371841371 114313115524113