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230213212020 = 223451112918811
BaseRepresentation
bin1101011001100111000…
…1101101011101110100
3211000012221202212210000
43112121301231131310
512232434040241040
6253431500031300
722426620005151
oct3263161553564
9730187685700
10230213212020
11896a63a1610
1238749b32530
131892a91611c
14b1dc98b228
155ec5b67130
hex3599c6d774

230213212020 has 120 divisors (see below), whose sum is σ = 787840831008. Its totient is φ = 55809259200.

The previous prime is 230213211971. The next prime is 230213212037. The reversal of 230213212020 is 20212312032.

230213212020 is a `hidden beast` number, since 2 + 302 + 1 + 321 + 20 + 20 = 666.

It is a super-4 number, since 4×2302132120204 (a number of 47 digits) contains 4444 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 = 230213211984 and 230213212002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6441586 + ... + 6477225.

Almost surely, 2230213212020 is an apocalyptic number.

230213212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230213212020 is an abundant number, since it is smaller than the sum of its proper divisors (557627618988).

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

230213212020 is a wasteful number, since it uses less digits than its factorization.

230213212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12918843 (or 12918832 counting only the distinct ones).

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

Adding to 230213212020 its reverse (20212312032), we get a palindrome (250425524052).

The spelling of 230213212020 in words is "two hundred thirty billion, two hundred thirteen million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 8910 17820 12918811 25837622 38756433 51675244 64594055 77512866 116269299 129188110 142106921 155025732 193782165 232538598 258376220 284213842 348807897 387564330 426320763 465077196 568427684 581346495 697615794 710534605 775128660 852641526 1046423691 1162692990 1278962289 1395231588 1421069210 1705283052 1744039485 2092847382 2131603815 2325385980 2557924578 2842138420 3488078970 3836886867 4185694764 4263207630 5115849156 5232118455 6394811445 6976157940 7673773734 8526415260 10464236910 11510660601 12789622890 15347547468 19184434335 20928473820 23021321202 25579245780 38368868670 46042642404 57553303005 76737737340 115106606010 230213212020