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211221434040 = 23351760178617
BaseRepresentation
bin1100010010110111000…
…1110100111010111000
3202012012101101121010120
43010231301310322320
511430040141342130
6241011144213240
721155156365101
oct3045561647270
9665171347116
10211221434040
118163aaa1731
1234b2976a220
1316bc2096b86
14a31a5533a8
1557636a3910
hex312dc74eb8

211221434040 has 32 divisors (see below), whose sum is σ = 633664302480. Its totient is φ = 56325715712.

The previous prime is 211221434023. The next prime is 211221434051. The reversal of 211221434040 is 40434122112.

It is a super-2 number, since 2×2112214340402 (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 211221434040.

It is a congruent number.

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, 880089189 + ... + 880089428.

Almost surely, 2211221434040 is an apocalyptic number.

211221434040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221434040 is an abundant number, since it is smaller than the sum of its proper divisors (422442868440).

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

211221434040 is a wasteful number, since it uses less digits than its factorization.

211221434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760178631 (or 1760178627 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 211221434040 its reverse (40434122112), we get a palindrome (251655556152).

The spelling of 211221434040 in words is "two hundred eleven billion, two hundred twenty-one million, four hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1760178617 3520357234 5280535851 7040714468 8800893085 10561071702 14081428936 17601786170 21122143404 26402679255 35203572340 42244286808 52805358510 70407144680 105610717020 211221434040