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2100310110 = 232589263997
BaseRepresentation
bin111110100110000…
…0011000001011110
312102101002210211100
41331030003001132
513300134410420
6544224533530
7103022225043
oct17514030136
95371083740
102100310110
11988630088
124a74812a6
13276199062
1415cd2b1ca
15c45c9190
hex7d30305e

2100310110 has 96 divisors (see below), whose sum is σ = 5548720320. Its totient is φ = 551130624.

The previous prime is 2100310097. The next prime is 2100310127. The reversal of 2100310110 is 110130012.

It is a super-2 number, since 2×21003101102 = 8822605116336424200, which contains 22 as substring.

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 = 2100310092 and 2100310101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2106132 + ... + 2107128.

It is an arithmetic number, because the mean of its divisors is an integer number (57799170).

Almost surely, 22100310110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100310110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774360160).

2100310110 is an abundant number, since it is smaller than the sum of its proper divisors (3448410210).

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

2100310110 is a wasteful number, since it uses less digits than its factorization.

2100310110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2100310110 is about 45829.1404021502. The cubic root of 2100310110 is about 1280.6421968698.

Adding to 2100310110 its reverse (110130012), we get a palindrome (2210440122).

It can be divided in two parts, 21003 and 10110, that added together give a palindrome (31113).

The spelling of 2100310110 in words is "two billion, one hundred million, three hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 263 267 445 526 534 789 801 890 997 1315 1335 1578 1602 1994 2367 2630 2670 2991 3945 4005 4734 4985 5982 7890 8010 8973 9970 11835 14955 17946 23407 23670 29910 44865 46814 70221 88733 89730 117035 140442 177466 210663 234070 262211 266199 351105 421326 443665 524422 532398 702210 786633 798597 887330 1053315 1311055 1330995 1573266 1597194 2106630 2359899 2622110 2661990 3933165 3992985 4719798 7866330 7985970 11799495 23336779 23598990 46673558 70010337 116683895 140020674 210031011 233367790 350051685 420062022 700103370 1050155055 2100310110