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1012011111001 = 111723361765053
BaseRepresentation
bin11101011101000001001…
…00000001001001011001
310120202011210110002021001
432232200210001021121
5113040044321023001
62052524514145001
7133054402340242
oct16564044011131
93522153402231
101012011111001
11360211986410
12144174582161
1374580820807
1436da5717cc9
151b4d0e7e001
hexeba0901259

1012011111001 has 32 divisors (see below), whose sum is σ = 1220134088448. Its totient is φ = 828002672640.

The previous prime is 1012011110987. The next prime is 1012011111043. The reversal of 1012011111001 is 1001111102101.

It is not a de Polignac number, because 1012011111001 - 215 = 1012011078233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1012011111101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15524191 + ... + 15589243.

It is an arithmetic number, because the mean of its divisors is an integer number (38129190264).

Almost surely, 21012011111001 is an apocalyptic number.

1012011111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012011111001 is a deficient number, since it is larger than the sum of its proper divisors (208122977447).

1012011111001 is a wasteful number, since it uses less digits than its factorization.

1012011111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68721.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1012011111001 its reverse (1001111102101), we get a palindrome (2013122213102).

It can be divided in two parts, 101 and 2011111001, that added together give a palindrome (2011111102).

The spelling of 1012011111001 in words is "one trillion, twelve billion, eleven million, one hundred eleven thousand, one".

Divisors: 1 11 17 23 187 253 391 3617 4301 39787 61489 65053 83191 676379 715583 915101 1105901 1414247 1496219 12164911 15556717 16458409 25435723 235296701 279792953 2588263711 4000043917 5411824123 44000483087 59530065353 92001010091 1012011111001