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231545434321410 = 235111948317644193
BaseRepresentation
bin110100101001011011011111…
…010111001011001000000010
31010100211112020102122121210220
4310221123133113023020002
5220322120022141241120
62140242300513403510
766525414500010036
oct6451333727131002
91110745212577726
10231545434321410
116786095a32a950
1221b77081569596
139c278439c3081
144126c048461c6
151bb8064d43b40
hexd296df5cb202

231545434321410 has 128 divisors (see below), whose sum is σ = 638266960650240. Its totient is φ = 53166884198400.

The previous prime is 231545434321349. The next prime is 231545434321433. The reversal of 231545434321410 is 14123434545132.

231545434321410 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 2×2315454343214102 (a number of 30 digits) contains 22 as substring.

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, 26468274 + ... + 34112466.

It is an arithmetic number, because the mean of its divisors is an integer number (4986460630080).

Almost surely, 2231545434321410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231545434321410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319133480325120).

231545434321410 is an abundant number, since it is smaller than the sum of its proper divisors (406721526328830).

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

231545434321410 is a wasteful number, since it uses less digits than its factorization.

231545434321410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7649064.

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 231545434321410 its reverse (14123434545132), we get a palindrome (245668868866542).

The spelling of 231545434321410 in words is "two hundred thirty-one trillion, five hundred forty-five billion, four hundred thirty-four million, three hundred twenty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 4831 6270 9662 14493 24155 28986 48310 53141 72465 91789 106282 144930 159423 183578 265705 275367 318846 458945 531410 550734 797115 917890 1009679 1376835 1594230 2019358 2753670 3029037 5048395 6058074 7644193 10096790 15145185 15288386 22932579 30290370 38220965 45865158 76441930 84086123 114662895 145239667 168172246 229325790 252258369 290479334 420430615 435719001 504516738 726198335 840861230 871438002 1261291845 1452396670 1597636337 2178595005 2522583690 3195272674 4357190010 4792909011 7988181685 9585818022 15976363370 23964545055 36929096383 47929090110 73858192766 110787289149 184645481915 221574578298 369290963830 406220060213 553936445745 701652831277 812440120426 1107872891490 1218660180639 1403305662554 2031100301065 2104958493831 2437320361278 3508264156385 4062200602130 4209916987662 6093300903195 7016528312770 7718181144047 10524792469155 12186601806390 15436362288094 21049584938310 23154543432141 38590905720235 46309086864282 77181811440470 115772717160705 231545434321410