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22111212002000 = 2453111735809567
BaseRepresentation
bin1010000011100001010101…
…11011111101101011010000
32220021210220101022102011212
411001300222323331223100
510344232230233031000
6115005430042155252
74441324305653642
oct501605273755320
986253811272155
1022111212002000
117055348811a80
1225913741b2b28
13c4510317c344
1456628cc66892
1528526b567c35
hex141c2aefdad0

22111212002000 has 160 divisors (see below), whose sum is σ = 58662507930624. Its totient is φ = 7993962816000.

The previous prime is 22111212001997. The next prime is 22111212002003. The reversal of 22111212002000 is 20021211122.

It is an interprime number because it is at equal distance from previous prime (22111212001997) and next prime (22111212002003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22111212002003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 901217 + ... + 6710783.

Almost surely, 222111212002000 is an apocalyptic number.

22111212002000 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 22111212002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29331253965312).

22111212002000 is an abundant number, since it is smaller than the sum of its proper divisors (36551295928624).

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

22111212002000 is a wasteful number, since it uses less digits than its factorization.

22111212002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5809774 (or 5809758 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22111212002000 its reverse (20021211122), we get a palindrome (22131233213122).

The spelling of 22111212002000 in words is "twenty-two trillion, one hundred eleven billion, two hundred twelve million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 173 176 200 220 250 275 346 400 440 500 550 692 865 880 1000 1100 1375 1384 1730 1903 2000 2200 2750 2768 3460 3806 4325 4400 5500 6920 7612 8650 9515 11000 13840 15224 17300 19030 21625 22000 30448 34600 38060 43250 47575 69200 76120 86500 95150 152240 173000 190300 237875 346000 380600 475750 761200 951500 1903000 3806000 5809567 11619134 23238268 29047835 46476536 58095670 63905237 92953072 116191340 127810474 145239175 232382680 255620948 290478350 319526185 464765360 511241896 580956700 639052370 726195875 1005055091 1022483792 1161913400 1278104740 1452391750 1597630925 2010110182 2323826800 2556209480 2904783500 3195261850 4020220364 5025275455 5112418960 5809567000 6390523700 7988154625 8040440728 10050550910 11055606001 11619134000 12781047400 15976309250 16080881456 20101101820 22111212002 25126377275 25562094800 31952618500 40202203640 44222424004 50252754550 55278030005 63905237000 80404407280 88444848008 100505509100 110556060010 125631886375 127810474000 176889696016 201011018200 221112120020 251263772750 276390150025 402022036400 442224240040 502527545500 552780300050 884448480080 1005055091000 1105560600100 1381950750125 2010110182000 2211121200200 2763901500250 4422242400400 5527803000500 11055606001000 22111212002000