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22243130330100 = 22352434913511759
BaseRepresentation
bin1010000111010111000011…
…11000011100101111110100
32220202102101222220211020120
411003223201320130233310
510403412412331030400
6115150204125531540
74454004335154411
oct503534170345764
986672358824216
1022243130330100
1170a6293215429
1225b2a4b413bb0
13c54697603b54
1456c80500b108
152888dca09ca0
hex143ae1e1cbf4

22243130330100 has 144 divisors (see below), whose sum is σ = 65987599856640. Its totient is φ = 5781758371200.

The previous prime is 22243130330087. The next prime is 22243130330101. The reversal of 22243130330100 is 103303134222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22243130330101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4578021 + ... + 8089779.

Almost surely, 222243130330100 is an apocalyptic number.

22243130330100 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 22243130330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32993799928320).

22243130330100 is an abundant number, since it is smaller than the sum of its proper divisors (43744469526540).

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

22243130330100 is a wasteful number, since it uses less digits than its factorization.

22243130330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512310 (or 3512303 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 22243130330100 its reverse (103303134222), we get a palindrome (22346433464322).

The spelling of 22243130330100 in words is "twenty-two trillion, two hundred forty-three billion, one hundred thirty million, three hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 491 516 645 860 982 1075 1290 1473 1964 2150 2455 2580 2946 3225 4300 4910 5892 6450 7365 9820 12275 12900 14730 21113 24550 29460 36825 42226 49100 63339 73650 84452 105565 126678 147300 211130 253356 316695 422260 527825 633390 1055650 1266780 1583475 2111300 3166950 3511759 6333900 7023518 10535277 14047036 17558795 21070554 35117590 42141108 52676385 70235180 87793975 105352770 151005637 175587950 210705540 263381925 302011274 351175900 453016911 526763850 604022548 755028185 906033822 1053527700 1510056370 1724273669 1812067644 2265084555 3020112740 3448547338 3775140925 4530169110 5172821007 6897094676 7550281850 8621368345 9060338220 10345642014 11325422775 15100563700 17242736690 20691284028 22650845550 25864105035 34485473380 43106841725 45301691100 51728210070 74143767767 86213683450 103456420140 129320525175 148287535534 172427366900 222431303301 258641050350 296575071068 370718838835 444862606602 517282100700 741437677670 889725213204 1112156516505 1482875355340 1853594194175 2224313033010 3707188388350 4448626066020 5560782582525 7414376776700 11121565165050 22243130330100