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243101121323034 = 231359714671593181
BaseRepresentation
bin110111010001100101100011…
…111110110010000000011010
31011212202020111010102210121110
4313101211203332302000122
5223330432044024314114
62221011040254121150
7102130322260606332
oct6721454376620032
91155666433383543
10243101121323034
1170506674398847
12233227617b01b6
13a5854502a1310
14440622ad460c2
151d18940dd3759
hexdd1963fb201a

243101121323034 has 128 divisors (see below), whose sum is σ = 541133315573760. Its totient is φ = 72341587987200.

The previous prime is 243101121323023. The next prime is 243101121323119. The reversal of 243101121323034 is 430323121101342.

243101121323034 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2431011213230342 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 243101121322992 and 243101121323010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151791924 + ... + 153385104.

It is an arithmetic number, because the mean of its divisors is an integer number (4227604027920).

Almost surely, 2243101121323034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243101121323034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270566657786880).

243101121323034 is an abundant number, since it is smaller than the sum of its proper divisors (298032194250726).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

243101121323034 is a wasteful number, since it uses less digits than its factorization.

243101121323034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593796.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 243101121323034 its reverse (430323121101342), we get a palindrome (673424242424376).

The spelling of 243101121323034 in words is "two hundred forty-three trillion, one hundred one billion, one hundred twenty-one million, three hundred twenty-three thousand, thirty-four".

Divisors: 1 2 3 6 13 26 39 59 71 78 118 142 177 213 354 426 467 767 923 934 1401 1534 1846 2301 2769 2802 4189 4602 5538 6071 8378 12142 12567 18213 25134 27553 33157 36426 54457 55106 66314 82659 99471 108914 163371 165318 198942 326742 358189 431041 716378 862082 1074567 1293123 1593181 1956263 2149134 2586246 3186362 3912526 4779543 5868789 9559086 11737578 20711353 25431419 41422706 50862838 62134059 76294257 93997679 113115851 124268118 152588514 187995358 226231702 281993037 339347553 563986074 678695106 744015527 1221969827 1470506063 1488031054 2232046581 2443939654 2941012126 3665909481 4411518189 4464093162 6673835209 7331818962 8823036378 9672201851 13347670418 19344403702 20021505627 29016605553 40043011254 43896916093 52825102417 58033211106 86759857717 87793832186 105650204834 131690748279 158475307251 173519715434 260279573151 263381496558 316950614502 520559146302 570659909209 686726331421 1141319818418 1373452662842 1711979727627 2060178994263 3116681042603 3423959455254 4120357988526 6233362085206 9350043127809 18700086255618 40516853553839 81033707107678 121550560661517 243101121323034