Search a number
-
+
104102112311190 = 23257273323368783
BaseRepresentation
bin10111101010111000101001…
…011011001011011110010110
3111122121001202012100002200100
4113222320221123023132112
5102121102111222424230
61005223503345554530
730633062250364500
oct2752705133133626
9448531665302610
10104102112311190
1130196504510574
12b81382a945a46
134611a3025c796
141b9c7d7944d70
15c07e0515e660
hex5eae296cb796

104102112311190 has 144 divisors (see below), whose sum is σ = 319168870233408. Its totient is φ = 23468812722432.

The previous prime is 104102112311081. The next prime is 104102112311191. The reversal of 104102112311190 is 91113211201401.

104102112311190 is a `hidden beast` number, since 1 + 0 + 410 + 2 + 1 + 1 + 231 + 1 + 19 + 0 = 666.

It is a super-2 number, since 2×1041021123111902 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104102112311191) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 161362462 + ... + 162006321.

It is an arithmetic number, because the mean of its divisors is an integer number (2216450487732).

Almost surely, 2104102112311190 is an apocalyptic number.

104102112311190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104102112311190 is an abundant number, since it is smaller than the sum of its proper divisors (215066757922218).

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

104102112311190 is a wasteful number, since it uses less digits than its factorization.

104102112311190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323368883 (or 323368873 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

Adding to 104102112311190 its reverse (91113211201401), we get a palindrome (195215323512591).

It can be divided in two parts, 10410 and 2112311190, that added together give a square (2112321600 = 459602).

The spelling of 104102112311190 in words is "one hundred four trillion, one hundred two billion, one hundred twelve million, three hundred eleven thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 73 90 98 105 126 146 147 210 219 245 294 315 365 438 441 490 511 630 657 730 735 882 1022 1095 1314 1470 1533 2190 2205 2555 3066 3285 3577 4410 4599 5110 6570 7154 7665 9198 10731 15330 17885 21462 22995 32193 35770 45990 53655 64386 107310 160965 321930 323368783 646737566 970106349 1616843915 1940212698 2263581481 2910319047 3233687830 4527162962 4850531745 5820638094 6790744443 9701063490 11317907405 13581488886 14551595235 15845070367 20372233329 22635814810 23605921159 29103190470 31690140734 33953722215 40744466658 47211842318 47535211101 67907444430 70817763477 79225351835 95070422202 101861166645 118029605795 141635526954 142605633303 158450703670 165241448113 203722333290 212453290431 236059211590 237676055505 285211266606 330482896226 354088817385 424906580862 475352111010 495724344339 708177634770 713028166515 826207240565 991448688678 1062266452155 1156690136791 1426056333030 1487173033017 1652414481130 2124532904310 2313380273582 2478621721695 2974346066034 3470070410373 4957243443390 5783450683955 6940140820746 7435865165085 10410211231119 11566901367910 14871730330170 17350352051865 20820422462238 34700704103730 52051056155595 104102112311190