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221442122100 = 223526711017021
BaseRepresentation
bin1100111000111011111…
…0101010000101110100
3210011120200102100100210
43032032332222011310
512112003140401400
6245421253105420
721666353660343
oct3161676520564
9704520370323
10221442122100
1185a05339971
1236b00628270
1317b60702ca4
14aa09b21b5a
155b60b05950
hex338efaa174

221442122100 has 72 divisors (see below), whose sum is σ = 650268706528. Its totient is φ = 58169865600.

The previous prime is 221442122081. The next prime is 221442122107. The reversal of 221442122100 is 1221244122.

It is a super-2 number, since 2×2214421221002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221442122107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5488411 + ... + 5528610.

Almost surely, 2221442122100 is an apocalyptic number.

221442122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221442122100 is an abundant number, since it is smaller than the sum of its proper divisors (428826584428).

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

221442122100 is a wasteful number, since it uses less digits than its factorization.

221442122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11017105 (or 11017098 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 221442122100 its reverse (1221244122), we get a palindrome (222663366222).

The spelling of 221442122100 in words is "two hundred twenty-one billion, four hundred forty-two million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 1005 1340 1675 2010 3350 4020 5025 6700 10050 20100 11017021 22034042 33051063 44068084 55085105 66102126 110170210 132204252 165255315 220340420 275425525 330510630 550851050 661021260 738140407 826276575 1101702100 1476280814 1652553150 2214421221 2952561628 3305106300 3690702035 4428842442 7381404070 8857684884 11072106105 14762808140 18453510175 22144212210 36907020350 44288424420 55360530525 73814040700 110721061050 221442122100