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213421224011140 = 225475313132701117
BaseRepresentation
bin110000100001101100000000…
…001111101010010110000100
31000222122212111001102102201101
4300201230000033222112010
5210433143131321324030
62033524205022305444
762645113613155555
oct6041540017522604
91028585431372641
10213421224011140
1162003484090112
121bb2a568128284
1392116c57107b2
143a9b8dc8b432c
1519a189856a7ca
hexc21b003ea584

213421224011140 has 96 divisors (see below), whose sum is σ = 469916635313664. Its totient is φ = 81349912250880.

The previous prime is 213421224011137. The next prime is 213421224011143. The reversal of 213421224011140 is 41110422124312.

It is an interprime number because it is at equal distance from previous prime (213421224011137) and next prime (213421224011143).

It is a super-3 number, since 3×2134212240111403 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213421224011099 and 213421224011108.

It is not an unprimeable number, because it can be changed into a prime (213421224011143) 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, 9824139 + ... + 22876978.

It is an arithmetic number, because the mean of its divisors is an integer number (4894964951184).

Almost surely, 2213421224011140 is an apocalyptic number.

213421224011140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213421224011140 is an abundant number, since it is smaller than the sum of its proper divisors (256495411302524).

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

213421224011140 is a wasteful number, since it uses less digits than its factorization.

213421224011140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32701357 (or 32701355 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 213421224011140 its reverse (41110422124312), we get a palindrome (254531646135452).

The spelling of 213421224011140 in words is "two hundred thirteen trillion, four hundred twenty-one billion, two hundred twenty-four million, eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 47 53 94 106 131 188 212 235 262 265 470 524 530 655 940 1060 1310 2491 2620 4982 6157 6943 9964 12314 12455 13886 24628 24910 27772 30785 34715 49820 61570 69430 123140 138860 326321 652642 1305284 1631605 3263210 6526420 32701117 65402234 130804468 163505585 327011170 654022340 1536952499 1733159201 3073904998 3466318402 4283846327 6147809996 6932636804 7684762495 8567692654 8665796005 15369524990 17135385308 17331592010 21419231635 30739049980 34663184020 42838463270 81458482447 85676926540 162916964894 201340777369 227043855331 325833929788 402681554738 407292412235 454087710662 805363109476 814584824470 908175421324 1006703886845 1135219276655 1629169648940 2013407773690 2270438553310 4026815547380 4540877106620 10671061200557 21342122401114 42684244802228 53355306002785 106710612005570 213421224011140