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114301022134155 = 3553794094879137
BaseRepresentation
bin11001111111010011000111…
…110100100101111110001011
3112222201001220202111022020220
4121333103013310211332023
5104440201443131243110
61043033055322521123
733034655611454313
oct3177230764457613
9488631822438226
10114301022134155
113346887819a62a
12109a03790661a3
134ba17038b55ac
1420322b0052443
15d33372981370
hex67f4c7d25f8b

114301022134155 has 128 divisors (see below), whose sum is σ = 189561362227200. Its totient is φ = 58781471883264.

The previous prime is 114301022134127. The next prime is 114301022134171. The reversal of 114301022134155 is 551431220103411.

It is not a de Polignac number, because 114301022134155 - 29 = 114301022133643 is a prime.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 12509683747 + ... + 12509692883.

It is an arithmetic number, because the mean of its divisors is an integer number (1480948142400).

Almost surely, 2114301022134155 is an apocalyptic number.

114301022134155 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114301022134155 is a deficient number, since it is larger than the sum of its proper divisors (75260340093045).

114301022134155 is a wasteful number, since it uses less digits than its factorization.

114301022134155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10173.

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 114301022134155 its reverse (551431220103411), we get a palindrome (665732242237566).

The spelling of 114301022134155 in words is "one hundred fourteen trillion, three hundred one billion, twenty-two million, one hundred thirty-four thousand, one hundred fifty-five".

Divisors: 1 3 5 15 53 79 159 237 265 395 409 487 795 1185 1227 1461 2045 2435 4187 6135 7305 9137 12561 20935 21677 25811 27411 32311 38473 45685 62805 65031 77433 96933 108385 115419 129055 137055 161555 192365 199183 325155 387165 484261 484665 577095 597549 721823 995915 1452783 1712483 2039069 2165469 2421305 2987745 3609115 3737033 4449719 5137449 6117207 7263915 8562415 10195345 10556699 10827345 11211099 13349157 15735457 18685165 22248595 25687245 30586035 31670097 38256619 47206371 52783495 56055495 66745785 78677285 114769857 158350485 191283095 198062749 235835107 236031855 295225607 351527801 573849285 594188247 707505321 833979221 885676821 990313745 1054583403 1179175535 1476128035 1757639005 1819935071 2501937663 2970941235 3537526605 4169896105 4428384105 5272917015 5459805213 9099675355 12509688315 15646957171 18630973453 27299026065 46940871513 55892920359 78234785855 93154867265 96456558763 143774870609 234704357565 279464601795 289369676289 431324611827 482282793815 718874353045 1446848381445 2156623059135 7620068142277 22860204426831 38100340711385 114301022134155