Search a number
-
+
12310323001110 = 2345292931788623
BaseRepresentation
bin1011001100100011100001…
…1011011111011100010110
31121120212002120112220220000
42303020320123133130112
53103143020142013420
642103141224552130
72410251165005121
oct263107033373426
947525076486800
1012310323001110
113a1686244a682
1214699a6322646
136b3b210cab74
14307b73b233b8
151653469e1690
hexb32386df716

12310323001110 has 160 divisors (see below), whose sum is σ = 34359395495040. Its totient is φ = 3158735069952.

The previous prime is 12310323001099. The next prime is 12310323001133. The reversal of 12310323001110 is 1110032301321.

12310323001110 is a `hidden beast` number, since 1 + 2 + 310 + 32 + 300 + 11 + 10 = 666.

It is a super-2 number, since 2×123103230011102 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5988259 + ... + 7776881.

It is an arithmetic number, because the mean of its divisors is an integer number (214746221844).

Almost surely, 212310323001110 is an apocalyptic number.

12310323001110 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 12310323001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17179697747520).

12310323001110 is an abundant number, since it is smaller than the sum of its proper divisors (22049072493930).

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

12310323001110 is a wasteful number, since it uses less digits than its factorization.

12310323001110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788964 (or 1788955 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12310323001110 its reverse (1110032301321), we get a palindrome (13420355302431).

The spelling of 12310323001110 in words is "twelve trillion, three hundred ten billion, three hundred twenty-three million, one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 293 405 435 522 586 783 810 870 879 1305 1465 1566 1758 2349 2610 2637 2930 3915 4395 4698 5274 7830 7911 8497 8790 11745 13185 15822 16994 23490 23733 25491 26370 39555 42485 47466 50982 76473 79110 84970 118665 127455 152946 229419 237330 254910 382365 458838 688257 764730 1147095 1376514 1788623 2294190 3441285 3577246 5365869 6882570 8943115 10731738 16097607 17886230 26829345 32195214 48292821 51870067 53658690 80488035 96585642 103740134 144878463 155610201 160976070 241464105 259350335 289756926 311220402 466830603 482928210 518700670 524066539 724392315 778051005 933661206 1048133078 1400491809 1448784630 1556102010 1572199617 2334153015 2620332695 2800983618 3144399234 4201475427 4668306030 4716598851 5240665390 7002459045 7860998085 8402950854 9433197702 14004918090 14149796553 15197929631 15721996170 21007377135 23582994255 28299593106 30395859262 42014754270 42449389659 45593788893 47165988510 70748982765 75989648155 84898779318 91187577786 136781366679 141497965530 151979296310 212246948295 227968944465 273562733358 410344100037 424493896590 455937888930 683906833395 820688200074 1231032300111 1367813666790 2051720500185 2462064600222 4103441000370 6155161500555 12310323001110