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42312103110 = 23355922711701
BaseRepresentation
bin100111011001111111…
…110111010011000110
311001012210200112201000
4213121333313103012
51143123344244420
631234331114130
73025350641124
oct473177672306
9131183615630
1042312103110
1116a43096362
12824a2a2946
133cb40a4604
1420956aa914
151179999690
hex9d9ff74c6

42312103110 has 128 divisors (see below), whose sum is σ = 115260019200. Its totient is φ = 11042179200.

The previous prime is 42312103069. The next prime is 42312103117. The reversal of 42312103110 is 1130121324.

42312103110 is a `hidden beast` number, since 42 + 312 + 1 + 0 + 311 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42312103117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3610260 + ... + 3621960.

It is an arithmetic number, because the mean of its divisors is an integer number (900468900).

Almost surely, 242312103110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42312103110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57630009600).

42312103110 is an abundant number, since it is smaller than the sum of its proper divisors (72947916090).

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

42312103110 is a wasteful number, since it uses less digits than its factorization.

42312103110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12003 (or 11997 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 42312103110 its reverse (1130121324), we get a palindrome (43442224434).

The spelling of 42312103110 in words is "forty-two billion, three hundred twelve million, one hundred three thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 90 118 135 177 227 270 295 354 454 531 590 681 885 1062 1135 1362 1593 1770 2043 2270 2655 3186 3405 4086 5310 6129 6810 7965 10215 11701 12258 13393 15930 20430 23402 26786 30645 35103 40179 58505 61290 66965 70206 80358 105309 117010 120537 133930 175515 200895 210618 241074 315927 351030 361611 401790 526545 602685 631854 690359 723222 1053090 1205370 1380718 1579635 1808055 2071077 2656127 3159270 3451795 3616110 4142154 5312254 6213231 6903590 7968381 10355385 12426462 13280635 15936762 18639693 20710770 23905143 26561270 31066155 37279386 39841905 47810286 62132310 71715429 79683810 93198465 119525715 143430858 156711493 186396930 239051430 313422986 358577145 470134479 717154290 783557465 940268958 1410403437 1567114930 2350672395 2820806874 4231210311 4701344790 7052017185 8462420622 14104034370 21156051555 42312103110