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110001002120 = 2354368393637
BaseRepresentation
bin110011001110010010…
…0100001011010001000
3101111221011021220000122
41212130210201122020
53300240224031440
6122311143122412
710642633043042
oct1463444413210
9344834256018
10110001002120
1142718775009
121939b143408
13a4b078b089
1454773a4a92
152cdc2447b5
hex199c921688

110001002120 has 64 divisors (see below), whose sum is σ = 253631632320. Its totient is φ = 42913753344.

The previous prime is 110001002057. The next prime is 110001002131. The reversal of 110001002120 is 21200100011.

Adding to 110001002120 its reverse (21200100011), we get a palindrome (131201102131).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 110001002098 and 110001002107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1127942 + ... + 1221578.

It is an arithmetic number, because the mean of its divisors is an integer number (3962994255).

Almost surely, 2110001002120 is an apocalyptic number.

110001002120 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 110001002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126815816160).

110001002120 is an abundant number, since it is smaller than the sum of its proper divisors (143630630200).

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

110001002120 is a wasteful number, since it uses less digits than its factorization.

110001002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94374 (or 94370 counting only the distinct ones).

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

The spelling of 110001002120 in words is "one hundred ten billion, one million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 683 860 1366 1720 2732 3415 5464 6830 13660 27320 29369 58738 93637 117476 146845 187274 234952 293690 374548 468185 587380 749096 936370 1174760 1872740 3745480 4026391 8052782 16105564 20131955 32211128 40263910 63954071 80527820 127908142 161055640 255816284 319770355 511632568 639540710 1279081420 2558162840 2750025053 5500050106 11000100212 13750125265 22000200424 27500250530 55000501060 110001002120