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2101001012 = 221167370951
BaseRepresentation
bin111110100111010…
…1011101100110100
312102102101220120022
41331032223230310
513300324013022
6544251424312
7103031133245
oct17516535464
95372356508
102101001012
11988a62180
124a7755098
1327637b686
1415d06accc
15c46b3c42
hex7d3abb34

2101001012 has 24 divisors (see below), whose sum is σ = 4017018432. Its totient is φ = 953568000.

The previous prime is 2101001009. The next prime is 2101001029.

2101001012 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5864 + ... + 65087.

It is an arithmetic number, because the mean of its divisors is an integer number (167375768).

Almost surely, 22101001012 is an apocalyptic number.

2101001012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2101001012 is a deficient number, since it is larger than the sum of its proper divisors (1916017420).

2101001012 is a wasteful number, since it uses less digits than its factorization.

2101001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71639 (or 71637 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2101001012 is about 45836.6775846592. The cubic root of 2101001012 is about 1280.7826049060.

It can be divided in two parts, 210100 and 1012, that added together give a palindrome (211112).

The spelling of 2101001012 in words is "two billion, one hundred one million, one thousand, twelve".

Divisors: 1 2 4 11 22 44 673 1346 2692 7403 14806 29612 70951 141902 283804 780461 1560922 3121844 47750023 95500046 191000092 525250253 1050500506 2101001012