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211142421240 = 23351759520177
BaseRepresentation
bin1100010010100100010…
…0011010101011111000
3202011222212201022221120
43010221010122223320
511424404424434430
6240555242505240
721153206653062
oct3045104325370
9664885638846
10211142421240
11815aa4351a3
1234b07205220
1316bab8c0c3a
14a30dc66732
15575b797610
hex312911aaf8

211142421240 has 32 divisors (see below), whose sum is σ = 633427264080. Its totient is φ = 56304645632.

The previous prime is 211142421199. The next prime is 211142421251. The reversal of 211142421240 is 42124241112.

It is a happy number.

It is a super-2 number, since 2×2111424212402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 211142421240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 879759969 + ... + 879760208.

Almost surely, 2211142421240 is an apocalyptic number.

211142421240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211142421240 is an abundant number, since it is smaller than the sum of its proper divisors (422284842840).

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

211142421240 is a wasteful number, since it uses less digits than its factorization.

211142421240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759520191 (or 1759520187 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 211142421240 its reverse (42124241112), we get a palindrome (253266662352).

The spelling of 211142421240 in words is "two hundred eleven billion, one hundred forty-two million, four hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1759520177 3519040354 5278560531 7038080708 8797600885 10557121062 14076161416 17595201770 21114242124 26392802655 35190403540 42228484248 52785605310 70380807080 105571210620 211142421240