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131043442110 = 23573159341179
BaseRepresentation
bin111101000001011001…
…1000011110110111110
3110112020122100121002220
41322002303003312332
54121334110121420
6140111151430210
712316243610430
oct1720263036676
9415218317086
10131043442110
1150636674689
1221492225366
13c4851121b9
1464b1cc4650
15361e776840
hex1e82cc3dbe

131043442110 has 128 divisors (see below), whose sum is σ = 377317785600. Its totient is φ = 28495186560.

The previous prime is 131043442109. The next prime is 131043442163. The reversal of 131043442110 is 11244340131.

131043442110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 213501 + ... + 554679.

It is an arithmetic number, because the mean of its divisors is an integer number (2947795200).

Almost surely, 2131043442110 is an apocalyptic number.

131043442110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131043442110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188658892800).

131043442110 is an abundant number, since it is smaller than the sum of its proper divisors (246274343490).

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

131043442110 is a wasteful number, since it uses less digits than its factorization.

131043442110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341286.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131043442110 its reverse (11244340131), we get a palindrome (142287782241).

The spelling of 131043442110 in words is "one hundred thirty-one billion, forty-three million, four hundred forty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 59 62 70 93 105 118 155 177 186 210 217 295 310 354 413 434 465 590 651 826 885 930 1085 1239 1302 1770 1829 2065 2170 2478 3255 3658 4130 5487 6195 6510 9145 10974 12390 12803 18290 25606 27435 38409 54870 64015 76818 128030 192045 341179 384090 682358 1023537 1705895 2047074 2388253 3411790 4776506 5117685 7164759 10235370 10576549 11941265 14329518 20129561 21153098 23882530 31729647 35823795 40259122 52882745 60388683 63459294 71647590 74035843 100647805 105765490 120777366 140906927 148071686 158648235 201295610 222107529 281813854 301943415 317296470 370179215 422720781 444215058 603886830 624016391 704534635 740358430 845441562 1110537645 1248032782 1409069270 1872049173 2113603905 2221075290 3120081955 3744098346 4227207810 4368114737 6240163910 8736229474 9360245865 13104344211 18720491730 21840573685 26208688422 43681147370 65521721055 131043442110