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22111202021000 = 23531491217121937
BaseRepresentation
bin1010000011100001010100…
…10101111000111010001000
32220021210212200112022211012
411001300222111320322020
510344232220204133000
6115005425044223052
74441324125063551
oct501605225707210
986253780468735
1022111202021000
117055343115114
12259137099aa88
13c45101096321
1456628b7c9328
1528526a745735
hex141c2a578e88

22111202021000 has 128 divisors (see below), whose sum is σ = 52130689884000. Its totient is φ = 8777831219200.

The previous prime is 22111202020993. The next prime is 22111202021059. The reversal of 22111202021000 is 12020211122.

It can be written as a sum of positive squares in 16 ways, for example, as 9567378961924 + 12543823059076 = 3093118^2 + 3541726^2 .

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, 181272032 + ... + 181393968.

Almost surely, 222111202021000 is an apocalyptic number.

22111202021000 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 22111202021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26065344942000).

22111202021000 is an abundant number, since it is smaller than the sum of its proper divisors (30019487863000).

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

22111202021000 is a wasteful number, since it uses less digits than its factorization.

22111202021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123324 (or 123310 counting only the distinct ones).

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

Adding to 22111202021000 its reverse (12020211122), we get a palindrome (22123222232122).

The spelling of 22111202021000 in words is "twenty-two trillion, one hundred eleven billion, two hundred two million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 149 200 250 298 500 596 745 1000 1192 1217 1490 2434 2980 3725 4868 5960 6085 7450 9736 12170 14900 18625 24340 29800 30425 37250 48680 60850 74500 121700 121937 149000 152125 181333 243400 243874 304250 362666 487748 608500 609685 725332 906665 975496 1217000 1219370 1450664 1813330 2438740 3048425 3626660 4533325 4877480 6096850 7253320 9066650 12193700 15242125 18133300 18168613 22666625 24387400 30484250 36266600 36337226 45333250 60968500 72674452 90666500 90843065 121937000 145348904 148397329 181333000 181686130 296794658 363372260 454215325 593589316 726744520 741986645 908430650 1187178632 1483973290 1816861300 2271076625 2967946580 3633722600 3709933225 4542153250 5935893160 7419866450 9084306500 14839732900 18168613000 18549666125 22111202021 29679465800 37099332250 44222404042 74198664500 88444808084 110556010105 148397329000 176889616168 221112020210 442224040420 552780050525 884448080840 1105560101050 2211120202100 2763900252625 4422240404200 5527800505250 11055601010500 22111202021000