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540201003221 = 11231191431379
BaseRepresentation
bin1111101110001100111…
…11010010100011010101
31220122100112111021022202
413313012133102203111
532322312424100341
61052055342134245
754012453523355
oct7670637224325
91818315437282
10540201003221
11199109424200
1288840281385
133bc2ca49149
141c208394b65
15e0ba0c179b
hex7dc67d28d5

540201003221 has 12 divisors (see below), whose sum is σ = 593965444800. Its totient is φ = 490934026440.

The previous prime is 540201003191. The next prime is 540201003233. The reversal of 540201003221 is 122300102045.

It is not a de Polignac number, because 540201003221 - 26 = 540201003157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 540201003193 and 540201003202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540201003521) 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, 338291 + ... + 1093088.

It is an arithmetic number, because the mean of its divisors is an integer number (49497120400).

Almost surely, 2540201003221 is an apocalyptic number.

It is an amenable number.

540201003221 is a deficient number, since it is larger than the sum of its proper divisors (53764441579).

540201003221 is a wasteful number, since it uses less digits than its factorization.

540201003221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434520 (or 1434509 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 540201003221 its reverse (122300102045), we get a palindrome (662501105266).

The spelling of 540201003221 in words is "five hundred forty billion, two hundred one million, three thousand, two hundred twenty-one".

Divisors: 1 11 121 3119 34309 377399 1431379 15745169 173196859 4464471101 49109182111 540201003221