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2101102344 = 2332119912677
BaseRepresentation
bin111110100111100…
…0100011100001000
312102102121001120100
41331033010130020
513300340233334
6544253525400
7103032034545
oct17517043410
95372531510
102101102344
11989021320
124a77a3860
132763b5833
1415d095bcc
15c46d3c99
hex7d3c4708

2101102344 has 96 divisors (see below), whose sum is σ = 6216387840. Its totient is φ = 635817600.

The previous prime is 2101102343. The next prime is 2101102349. The reversal of 2101102344 is 4432011012.

2101102344 is a `hidden beast` number, since 210 + 110 + 2 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2101102343) 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, 783534 + ... + 786210.

It is an arithmetic number, because the mean of its divisors is an integer number (64754040).

Almost surely, 22101102344 is an apocalyptic number.

2101102344 is a gapful number since it is divisible by the number (24) 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 2101102344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108193920).

2101102344 is an abundant number, since it is smaller than the sum of its proper divisors (4115285496).

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

2101102344 is a wasteful number, since it uses less digits than its factorization.

2101102344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3691 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2101102344 is about 45837.7829306785. The cubic root of 2101102344 is about 1280.8031954366.

Adding to 2101102344 its reverse (4432011012), we get a palindrome (6533113356).

The spelling of 2101102344 in words is "two billion, one hundred one million, one hundred two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 991 1982 2677 2973 3964 5354 5946 7928 8031 8919 10708 10901 11892 16062 17838 21416 21802 23784 24093 29447 32124 32703 35676 43604 48186 58894 64248 65406 71352 87208 88341 96372 98109 117788 130812 176682 192744 196218 235576 261624 265023 353364 392436 530046 706728 784872 1060092 2120184 2652907 5305814 7958721 10611628 15917442 21223256 23876163 29181977 31834884 47752326 58363954 63669768 87545931 95504652 116727908 175091862 191009304 233455816 262637793 350183724 525275586 700367448 1050551172 2101102344