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20900506221 = 34752370481
BaseRepresentation
bin10011011101110001…
…000110101001101101
31222221120222201120000
4103131301012221231
5320301012144341
613333534214513
71336635241320
oct233561065155
958846881500
1020900506221
118955877741
124073654439
131c8111a85a
141023b347b7
15824d478b6
hex4ddc46a6d

20900506221 has 40 divisors (see below), whose sum is σ = 35750725824. Its totient is φ = 11920141440.

The previous prime is 20900506139. The next prime is 20900506223. The reversal of 20900506221 is 12260500902.

It is not a de Polignac number, because 20900506221 - 29 = 20900505709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20900506223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 261301 + ... + 331781.

Almost surely, 220900506221 is an apocalyptic number.

20900506221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20900506221 is a deficient number, since it is larger than the sum of its proper divisors (14850219603).

20900506221 is an equidigital number, since it uses as much as digits as its factorization.

20900506221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71023 (or 71014 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 20900506221 in words is "twenty billion, nine hundred million, five hundred six thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 81 189 523 567 1569 3661 4707 10983 14121 32949 42363 70481 98847 211443 296541 493367 634329 1480101 1902987 4440303 5708961 13320909 36861563 39962727 110584689 258030941 331754067 774092823 995262201 2322278469 2985786603 6966835407 20900506221