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2101023012 = 22311791131783
BaseRepresentation
bin111110100111011…
…0001000100100100
312102102110000202010
41331032301010210
513300330214022
6544252114220
7103031254344
oct17516610444
95372400663
102101023012
11988a77760
124a7765970
132763886aa
1415d074d24
15c46ba50c
hex7d3b1124

2101023012 has 96 divisors (see below), whose sum is σ = 5466746880. Its totient is φ = 622702080.

The previous prime is 2101022993. The next prime is 2101023053. The reversal of 2101023012 is 2103201012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1177473 + ... + 1179255.

It is an arithmetic number, because the mean of its divisors is an integer number (56945280).

Almost surely, 22101023012 is an apocalyptic number.

2101023012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101023012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733373440).

2101023012 is an abundant number, since it is smaller than the sum of its proper divisors (3365723868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101023012 is a wasteful number, since it uses less digits than its factorization.

2101023012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2101023012 is about 45836.9175665205. The cubic root of 2101023012 is about 1280.7870753337.

Adding to 2101023012 its reverse (2103201012), we get a palindrome (4204224024).

The spelling of 2101023012 in words is "two billion, one hundred one million, twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 113 132 158 226 237 316 339 452 474 678 869 948 1243 1356 1738 1783 2486 2607 3476 3566 3729 4972 5214 5349 7132 7458 8927 10428 10698 14916 17854 19613 21396 26781 35708 39226 53562 58839 78452 98197 107124 117678 140857 196394 201479 235356 281714 294591 392788 402958 422571 563428 589182 604437 805916 845142 1178364 1208874 1549427 1690284 2216269 2417748 3098854 4432538 4648281 6197708 6648807 8865076 9296562 13297614 15916841 18593124 26595228 31833682 47750523 63667364 95501046 175085251 191002092 350170502 525255753 700341004 1050511506 2101023012