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211202230003020 = 2232537139922667653
BaseRepresentation
bin110000000001011001011001…
…111001010010010101001100
31000200210201212112201022102200
4300001121121321102111030
5210140314131340044040
62025104544235521500
762325600101254524
oct6001313171222514
91020721775638380
10211202230003020
11613283a9895763
121b8304a75b9290
1390b0391a09bc9
143a223574c8684
151963cc4864630
hexc01659e5254c

211202230003020 has 144 divisors (see below), whose sum is σ = 658431879268800. Its totient is φ = 54759244313088.

The previous prime is 211202230002977. The next prime is 211202230003081. The reversal of 211202230003020 is 20300032202112.

211202230003020 is a `hidden beast` number, since 21 + 1 + 20 + 22 + 300 + 0 + 302 + 0 = 666.

It is a super-2 number, since 2×2112022300030202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211202230002984 and 211202230003002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2016487 + ... + 20651166.

Almost surely, 2211202230003020 is an apocalyptic number.

211202230003020 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 211202230003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329215939634400).

211202230003020 is an abundant number, since it is smaller than the sum of its proper divisors (447229649265780).

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

211202230003020 is a wasteful number, since it uses less digits than its factorization.

211202230003020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22669104 (or 22669099 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 211202230003020 its reverse (20300032202112), we get a palindrome (231502262205132).

The spelling of 211202230003020 in words is "two hundred eleven trillion, two hundred two billion, two hundred thirty million, three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1399 1665 2220 2798 3330 4197 5596 6660 6995 8394 12591 13990 16788 20985 25182 27980 41970 50364 51763 62955 83940 103526 125910 155289 207052 251820 258815 310578 465867 517630 621156 776445 931734 1035260 1552890 1863468 2329335 3105780 4658670 9317340 22667653 45335306 68002959 90670612 113338265 136005918 204008877 226676530 272011836 340014795 408017754 453353060 680029590 816035508 838703161 1020044385 1360059180 1677406322 2040088770 2516109483 3354812644 4080177540 4193515805 5032218966 7548328449 8387031610 10064437932 12580547415 15096656898 16774063220 25161094830 30193313796 31712046547 37741642245 50322189660 63424093094 75483284490 95136139641 126848186188 150966568980 158560232735 190272279282 285408418923 317120465470 380544558564 475680698205 570816837846 634240930940 951361396410 1141633675692 1173345722239 1427042094615 1902722792820 2346691444478 2854084189230 3520037166717 4693382888956 5708168378460 5866728611195 7040074333434 10560111500151 11733457222390 14080148666868 17600185833585 21120223000302 23466914444780 35200371667170 42240446000604 52800557500755 70400743334340 105601115001510 211202230003020