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1120001002101 = 321495861142501
BaseRepresentation
bin10000010011000101010…
…000110000101001110101
310222001220210110221121100
4100103011100300221311
5121322230224031401
62214304340240313
7143626445304012
oct20230520605165
93861823427540
101120001002101
113a1a984049a3
121610920a0099
1381800744067
143c2cb970709
151e201868b86
hex104c5430a75

1120001002101 has 24 divisors (see below), whose sum is σ = 1628926111800. Its totient is φ = 741524400000.

The previous prime is 1120001002093. The next prime is 1120001002123. The reversal of 1120001002101 is 1012001000211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4598874225 + 1115402127876 = 67815^2 + 1056126^2 .

It is not a de Polignac number, because 1120001002101 - 23 = 1120001002093 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120001006101) 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, 7788351 + ... + 7930851.

It is an arithmetic number, because the mean of its divisors is an integer number (67871921325).

Almost surely, 21120001002101 is an apocalyptic number.

It is an amenable number.

1120001002101 is a deficient number, since it is larger than the sum of its proper divisors (508925109699).

1120001002101 is a wasteful number, since it uses less digits than its factorization.

1120001002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148517 (or 148514 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1120001002101 its reverse (1012001000211), we get a palindrome (2132002002312).

The spelling of 1120001002101 in words is "one trillion, one hundred twenty billion, one million, two thousand, one hundred one".

Divisors: 1 3 9 149 447 1341 5861 17583 52749 142501 427503 873289 1282509 2619867 7859601 21232649 63697947 191093841 835198361 2505595083 7516785249 124444555789 373333667367 1120001002101