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42231104033310 = 23252310321923037
BaseRepresentation
bin10011001101000101100011…
…11101000101001000011110
312112112020212020210011010200
421212202301331011020132
521013403300113031220
6225452411254444330
711616045061316463
oct1146426175051036
9175466766704120
1042231104033310
111250212429a705
1248a08073636a6
131a744b717682a
14a5ddd3d6366a
154d37dbb78890
hex2668b1f4521e

42231104033310 has 144 divisors (see below), whose sum is σ = 115698058223904. Its totient is φ = 10667403762048.

The previous prime is 42231104033309. The next prime is 42231104033347. The reversal of 42231104033310 is 1333040113224.

It is a happy number.

42231104033310 is a `hidden beast` number, since 4 + 2 + 2 + 311 + 0 + 4 + 0 + 33 + 310 = 666.

It is a super-2 number, since 2×422311040333102 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20999112 + ... + 22922148.

It is an arithmetic number, because the mean of its divisors is an integer number (803458737666).

Almost surely, 242231104033310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42231104033310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57849029111952).

42231104033310 is an abundant number, since it is smaller than the sum of its proper divisors (73466954190594).

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

42231104033310 is a wasteful number, since it uses less digits than its factorization.

42231104033310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923279 (or 1923173 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 42231104033310 its reverse (1333040113224), we get a palindrome (43564144146534).

The spelling of 42231104033310 in words is "forty-two trillion, two hundred thirty-one billion, one hundred four million, thirty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 103 115 138 206 207 230 309 345 414 515 618 690 927 1030 1035 1545 1854 2070 2369 3090 4635 4738 7107 9270 10609 11845 14214 21218 21321 23690 31827 35535 42642 53045 63654 71070 95481 106090 106605 159135 190962 213210 244007 318270 477405 488014 732021 954810 1220035 1464042 1923037 2196063 2440070 3660105 3846074 4392126 5769111 7320210 9615185 10980315 11538222 17307333 19230370 21960630 28845555 34614666 44229851 57691110 86536665 88459702 132689553 173073330 198072811 221149255 265379106 396145622 398068659 442298510 594218433 663447765 796137318 990364055 1188436866 1326895530 1782655299 1980728110 1990343295 2971092165 3565310598 3980686590 4555674653 5942184330 8913276495 9111349306 13667023959 17826552990 20401499533 22778373265 27334047918 40802999066 41001071877 45556746530 61204498599 68335119795 82002143754 102007497665 122408997198 136670239590 183613495797 204014995330 205005359385 306022492995 367226991594 410010718770 469234489259 612044985990 918067478985 938468978518 1407703467777 1836134957970 2346172446295 2815406935554 4223110403331 4692344892590 7038517338885 8446220806662 14077034677770 21115552016655 42231104033310