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1012011100221 = 311212772183171
BaseRepresentation
bin11101011101000001000…
…11111110100000111101
310120202011210102112110210
432232200203332200331
5113040044320201341
62052524514023033
7133054402263642
oct16564043764075
93522153375423
101012011100221
11360211979300
12144174577a79
1374580818934
1436da5713dc9
151b4d0e7ac16
hexeba08fe83d

1012011100221 has 24 divisors (see below), whose sum is σ = 1484329910112. Its totient is φ = 612859482400.

The previous prime is 1012011100201. The next prime is 1012011100231. The reversal of 1012011100221 is 1220011102101.

It is not a de Polignac number, because 1012011100221 - 217 = 1012010969149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012011100197 and 1012011100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012011100201) 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, 628035 + ... + 1555136.

It is an arithmetic number, because the mean of its divisors is an integer number (61847079588).

Almost surely, 21012011100221 is an apocalyptic number.

1012011100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012011100221 is a deficient number, since it is larger than the sum of its proper divisors (472318809891).

1012011100221 is a wasteful number, since it uses less digits than its factorization.

1012011100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184473 (or 2184462 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1012011100221 its reverse (1220011102101), we get a palindrome (2232022202322).

The spelling of 1012011100221 in words is "one trillion, twelve billion, eleven million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3 11 33 121 363 1277 3831 14047 42141 154517 463551 2183171 6549513 24014881 72044643 264163691 792491073 2787909367 8363728101 30667003037 92001009111 337337033407 1012011100221