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110022132120 = 23351038901467
BaseRepresentation
bin110011001110111010…
…1001000000110011000
3101111222122001101221020
41212131311020012120
53300311131211440
6122313220042440
710643310456405
oct1463565100630
9344878041836
10110022132120
114272969731a
12193a6233420
13a4b4c78934
14547a1052ac
152cde01a3d0
hex199dd48198

110022132120 has 64 divisors (see below), whose sum is σ = 333270961920. Its totient is φ = 29054385024.

The previous prime is 110022132097. The next prime is 110022132151. The reversal of 110022132120 is 21231220011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110022132120.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4438374 + ... + 4463093.

It is an arithmetic number, because the mean of its divisors is an integer number (5207358780).

Almost surely, 2110022132120 is an apocalyptic number.

110022132120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110022132120 is an abundant number, since it is smaller than the sum of its proper divisors (223248829800).

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

110022132120 is a wasteful number, since it uses less digits than its factorization.

110022132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8901584 (or 8901580 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 110022132120 its reverse (21231220011), we get a palindrome (131253352131).

The spelling of 110022132120 in words is "one hundred ten billion, twenty-two million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 2060 2472 3090 4120 6180 12360 8901467 17802934 26704401 35605868 44507335 53408802 71211736 89014670 106817604 133522005 178029340 213635208 267044010 356058680 534088020 916851101 1068176040 1833702202 2750553303 3667404404 4584255505 5501106606 7334808808 9168511010 11002213212 13752766515 18337022020 22004426424 27505533030 36674044040 55011066060 110022132120