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12311100322000 = 245367169754139
BaseRepresentation
bin1011001100100110011011…
…0000101111000011010000
31121120221002202012220200121
42303021212300233003100
53103201113140301000
642103350313400024
72410306354063564
oct263114660570320
947527082186617
1012311100322000
113a17121200337
121469b82709014
136b3c1617005c
14307c090676a4
1516538ed88b1a
hexb3266c2f0d0

12311100322000 has 160 divisors (see below), whose sum is σ = 30230904562560. Its totient is φ = 4847992934400.

The previous prime is 12311100321991. The next prime is 12311100322033. The reversal of 12311100322000 is 22300111321.

It is a super-2 number, since 2×123111003220002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227370931 + ... + 227425069.

It is an arithmetic number, because the mean of its divisors is an integer number (188943153516).

Almost surely, 212311100322000 is an apocalyptic number.

12311100322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12311100322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15115452281280).

12311100322000 is an abundant number, since it is smaller than the sum of its proper divisors (17919804240560).

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

12311100322000 is a wasteful number, since it uses less digits than its factorization.

12311100322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55926 (or 55910 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12311100322000 its reverse (22300111321), we get a palindrome (12333400433321).

The spelling of 12311100322000 in words is "twelve trillion, three hundred eleven billion, one hundred million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 125 134 200 250 268 335 400 500 536 670 1000 1072 1340 1675 1697 2000 2680 3350 3394 5360 6700 6788 8375 8485 13400 13576 16750 16970 26800 27152 33500 33940 42425 54139 67000 67880 84850 108278 113699 134000 135760 169700 212125 216556 227398 270695 339400 424250 433112 454796 541390 568495 678800 848500 866224 909592 1082780 1136990 1353475 1697000 1819184 2165560 2273980 2706950 2842475 3394000 3627313 4331120 4547960 5413900 5684950 6767375 7254626 9095920 10827800 11369900 13534750 14212375 14509252 18136565 21655600 22739800 27069500 28424750 29018504 36273130 45479600 54139000 56849500 58037008 72546260 90682825 91873883 108278000 113699000 145092520 181365650 183747766 227398000 290185040 362731300 367495532 453414125 459369415 725462600 734991064 906828250 918738830 1450925200 1469982128 1813656500 1837477660 2296847075 3627313000 3674955320 4593694150 6155550161 7254626000 7349910640 9187388300 11484235375 12311100322 18374776600 22968470750 24622200644 30777750805 36749553200 45936941500 49244401288 61555501610 91873883000 98488802576 123111003220 153888754025 183747766000 246222006440 307777508050 492444012880 615555016100 769443770125 1231110032200 1538887540250 2462220064400 3077775080500 6155550161000 12311100322000