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221120434100 = 22526433438887
BaseRepresentation
bin1100110111101111001…
…1100000111110110100
3210010202021002220101102
43031323303200332310
512110323312342400
6245325322145232
721655366451426
oct3157363407664
9703667086342
10221120434100
118585a7a1a15
1236a30952218
1317b0bb80667
14a9b9104816
155b427609d5
hex337bce0fb4

221120434100 has 36 divisors (see below), whose sum is σ = 480577720224. Its totient is φ = 88310592480.

The previous prime is 221120434061. The next prime is 221120434109. The reversal of 221120434100 is 1434021122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221120434109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1655144 + ... + 1783743.

Almost surely, 2221120434100 is an apocalyptic number.

221120434100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221120434100 is an abundant number, since it is smaller than the sum of its proper divisors (259457286124).

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

221120434100 is a wasteful number, since it uses less digits than its factorization.

221120434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439544 (or 3439537 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 221120434100 its reverse (1434021122), we get a palindrome (222554455222).

The spelling of 221120434100 in words is "two hundred twenty-one billion, one hundred twenty million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 643 1286 2572 3215 6430 12860 16075 32150 64300 3438887 6877774 13755548 17194435 34388870 68777740 85972175 171944350 343888700 2211204341 4422408682 8844817364 11056021705 22112043410 44224086820 55280108525 110560217050 221120434100