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212210413420 = 225131178345427
BaseRepresentation
bin1100010110100010111…
…0011110111101101100
3202021202022022221210111
43011220232132331230
511434101331212140
6241253233345404
721221525515645
oct3055056367554
9667668287714
10212210413420
1181aa8278565
1235164a08264
131701bc45a85
14a3b1a326cc
1557c04097ea
hex3168b9ef6c

212210413420 has 48 divisors (see below), whose sum is σ = 449305452288. Its totient is φ = 84187097280.

The previous prime is 212210413411. The next prime is 212210413511. The reversal of 212210413420 is 24314012212.

It is a super-3 number, since 3×2122104134203 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212210413391 and 212210413400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4648747 + ... + 4694173.

It is an arithmetic number, because the mean of its divisors is an integer number (9360530256).

Almost surely, 2212210413420 is an apocalyptic number.

212210413420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210413420 is an abundant number, since it is smaller than the sum of its proper divisors (237095038868).

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

212210413420 is a wasteful number, since it uses less digits than its factorization.

212210413420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47350 (or 47348 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 212210413420 its reverse (24314012212), we get a palindrome (236524425632).

The spelling of 212210413420 in words is "two hundred twelve billion, two hundred ten million, four hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 131 262 524 655 1310 1783 2620 3566 7132 8915 17830 35660 45427 90854 181708 227135 233573 454270 467146 908540 934292 1167865 2335730 4671460 5950937 11901874 23803748 29754685 59509370 80996341 119018740 161992682 323985364 404981705 809963410 1619926820 10610520671 21221041342 42442082684 53052603355 106105206710 212210413420