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1002001110111 = 322331191551967
BaseRepresentation
bin11101001010010111110…
…10111001010001011111
310112210100011212100111100
432211023322321101133
5112404044241010421
62044151333124143
7132251343623211
oct16451372712137
93483304770440
101002001110111
11356a45560601
12142240189653
1373646a41271
14366d61105b1
151b0e7297c26
hexe94beb945f

1002001110111 has 24 divisors (see below), whose sum is σ = 1510747729920. Its totient is φ = 638751958416.

The previous prime is 1002001110059. The next prime is 1002001110137. The reversal of 1002001110111 is 1110111002001.

It is not a de Polignac number, because 1002001110111 - 223 = 1001992721503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002001110093 and 1002001110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002001110161) 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, 130351 + ... + 1421616.

It is an arithmetic number, because the mean of its divisors is an integer number (62947822080).

Almost surely, 21002001110111 is an apocalyptic number.

1002001110111 is a deficient number, since it is larger than the sum of its proper divisors (508746619809).

1002001110111 is a wasteful number, since it uses less digits than its factorization.

1002001110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555115 (or 1555112 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1002001110111 its reverse (1110111002001), we get a palindrome (2112112112112).

The spelling of 1002001110111 in words is "one trillion, two billion, one million, one hundred ten thousand, one hundred eleven".

Divisors: 1 3 9 23 69 207 3119 9357 28071 71737 215211 645633 1551967 4655901 13967703 35695241 107085723 321257169 4840585073 14521755219 43565265657 111333456679 334000370037 1002001110111