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110210010020 = 225111797573697
BaseRepresentation
bin110011010100100000…
…1110100101110100100
3101112110201120120221222
41212221001310232210
53301202230310040
6122344010555512
710651051425365
oct1465101645644
9345421516858
10110210010020
114281574a810
1219439138b98
13a514b7a4a6
14549704db6c
152d0077cbb5
hex19a9074ba4

110210010020 has 96 divisors (see below), whose sum is σ = 254295780480. Its totient is φ = 39789066240.

The previous prime is 110210009993. The next prime is 110210010059. The reversal of 110210010020 is 20010012011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29808812 + ... + 29812508.

It is an arithmetic number, because the mean of its divisors is an integer number (2648914380).

Almost surely, 2110210010020 is an apocalyptic number.

110210010020 is a gapful number since it is divisible by the number (10) 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 110210010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127147890240).

110210010020 is an abundant number, since it is smaller than the sum of its proper divisors (144085770460).

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

110210010020 is a wasteful number, since it uses less digits than its factorization.

110210010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653 (or 4651 counting only the distinct ones).

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

Adding to 110210010020 its reverse (20010012011), we get a palindrome (130220022031).

The spelling of 110210010020 in words is "one hundred ten billion, two hundred ten million, ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 179 220 358 716 757 895 1514 1790 1969 3028 3580 3697 3785 3938 7394 7570 7876 8327 9845 14788 15140 16654 18485 19690 33308 36970 39380 40667 41635 73940 81334 83270 135503 162668 166540 203335 271006 406670 542012 661763 677515 813340 1323526 1355030 1490533 2647052 2710060 2798629 2981066 3308815 5597258 5962132 6617630 7279393 7452665 11194516 13235260 13993145 14558786 14905330 27986290 29117572 29810660 30784919 36396965 55972580 61569838 72793930 123139676 145587860 153924595 307849190 500954591 615698380 1001909182 2003818364 2504772955 5009545910 5510500501 10019091820 11021001002 22042002004 27552502505 55105005010 110210010020