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211424424112 = 24111859364609
BaseRepresentation
bin1100010011100111100…
…0001011000010110000
3202012201112100120011101
43010321320023002300
511430444123032422
6241043235054144
721163202644636
oct3047170130260
9665645316141
10211424424112
1181734637120
1234b85741354
1316c2515a145
14a3394b3356
1557763edc27
hex3139e0b0b0

211424424112 has 40 divisors (see below), whose sum is σ = 446905302480. Its totient is φ = 96095354880.

The previous prime is 211424424097. The next prime is 211424424151.

211424424112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2114244241122 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3240064 + ... + 3304672.

It is an arithmetic number, because the mean of its divisors is an integer number (11172632562).

Almost surely, 2211424424112 is an apocalyptic number.

211424424112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211424424112 is an abundant number, since it is smaller than the sum of its proper divisors (235480878368).

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

211424424112 is a wasteful number, since it uses less digits than its factorization.

211424424112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83221 (or 83215 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

It can be divided in two parts, 211424 and 424112, that added together give a palindrome (635536).

The spelling of 211424424112 in words is "two hundred eleven billion, four hundred twenty-four million, four hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 18593 37186 64609 74372 129218 148744 204523 258436 297488 409046 516872 710699 818092 1033744 1421398 1636184 2842796 3272368 5685592 11371184 1201275137 2402550274 4805100548 9610201096 13214026507 19220402192 26428053014 52856106028 105712212056 211424424112