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22200104102000 = 2453111481681361
BaseRepresentation
bin1010000110000110111010…
…10100011010100001110000
32220121022100102110222012212
411003003131110122201300
510402211303122231000
6115114330444311252
74450622163232226
oct503033524324160
986538312428185
1022200104102000
11708a014012430
1225a6641b42528
13c505cb5b5b96
1456a6c296ab16
152877204ecc35
hex1430dd51a870

22200104102000 has 160 divisors (see below), whose sum is σ = 58599464983488. Its totient is φ = 8067302400000.

The previous prime is 22200104101999. The next prime is 22200104102021. The reversal of 22200104102000 is 20140100222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32241320 + ... + 32922680.

Almost surely, 222200104102000 is an apocalyptic number.

22200104102000 is a gapful number since it is divisible by the number (20) 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 22200104102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29299732491744).

22200104102000 is an abundant number, since it is smaller than the sum of its proper divisors (36399360881488).

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

22200104102000 is a wasteful number, since it uses less digits than its factorization.

22200104102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682876 (or 682860 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22200104102000 its reverse (20140100222), we get a palindrome (22220244202222).

The spelling of 22200104102000 in words is "twenty-two trillion, two hundred billion, one hundred four million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 1481 2000 2200 2750 2962 4400 5500 5924 7405 11000 11848 14810 16291 22000 23696 29620 32582 37025 59240 65164 74050 81455 118480 130328 148100 162910 185125 260656 296200 325820 370250 407275 592400 651640 681361 740500 814550 1303280 1362722 1481000 1629100 2036375 2725444 2962000 3258200 3406805 4072750 5450888 6516400 6813610 7494971 8145500 10901776 13627220 14989942 16291000 17034025 27254440 29979884 32582000 34068050 37474855 54508880 59959768 68136100 74949710 85170125 119919536 136272200 149899420 170340250 187374275 272544400 299798840 340680500 374748550 599597680 681361000 749497100 936871375 1009095641 1362722000 1498994200 1873742750 2018191282 2997988400 3747485500 4036382564 5045478205 7494971000 8072765128 10090956410 11100052051 14989942000 16145530256 20181912820 22200104102 25227391025 40363825640 44400208204 50454782050 55500260255 80727651280 88800416408 100909564100 111000520510 126136955125 177600832816 201819128200 222001041020 252273910250 277501301275 403638256400 444002082040 504547820500 555002602550 888004164080 1009095641000 1110005205100 1387506506375 2018191282000 2220010410200 2775013012750 4440020820400 5550026025500 11100052051000 22200104102000