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22130003021000 = 235373191990733
BaseRepresentation
bin1010000100000100010101…
…11110000000110011001000
32220100121101221221002021112
411002002022332000303020
510400034221233133000
6115022214423025452
74442561050665620
oct502021276006310
986317357832245
1022130003021000
117062310860746
122594b3929b288
13c46b092399b4
14567152761880
152859bb0c2235
hex14208af80cc8

22130003021000 has 128 divisors (see below), whose sum is σ = 59200557212160. Its totient is φ = 7585044192000.

The previous prime is 22130003020999. The next prime is 22130003021003. The reversal of 22130003021000 is 12030003122.

It is a happy number.

It is a super-3 number, since 3×221300030210003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (22130003021003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21841634 + ... + 22832366.

It is an arithmetic number, because the mean of its divisors is an integer number (462504353220).

Almost surely, 222130003021000 is an apocalyptic number.

22130003021000 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 22130003021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29600278606080).

22130003021000 is an abundant number, since it is smaller than the sum of its proper divisors (37070554191160).

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

22130003021000 is a wasteful number, since it uses less digits than its factorization.

22130003021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993952 (or 993938 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 22130003021000 its reverse (12030003122), we get a palindrome (22142033024122).

The spelling of 22130003021000 in words is "twenty-two trillion, one hundred thirty billion, three million, twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3191 3500 6382 7000 12764 15955 22337 25528 31910 44674 63820 79775 89348 111685 127640 159550 178696 223370 319100 398875 446740 558425 638200 797750 893480 990733 1116850 1595500 1981466 2233700 2792125 3191000 3962932 4467400 4953665 5584250 6935131 7925864 9907330 11168500 13870262 19814660 22337000 24768325 27740524 34675655 39629320 49536650 55481048 69351310 99073300 123841625 138702620 173378275 198146600 247683250 277405240 346756550 495366500 693513100 866891375 990733000 1387026200 1733782750 3161429003 3467565500 6322858006 6935131000 12645716012 15807145015 22130003021 25291432024 31614290030 44260006042 63228580060 79035725075 88520012084 110650015105 126457160120 158071450150 177040024168 221300030210 316142900300 395178625375 442600060420 553250075525 632285800600 790357250750 885200120840 1106500151050 1580714501500 2213000302100 2766250377625 3161429003000 4426000604200 5532500755250 11065001510500 22130003021000