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20010112000 = 21053156329
BaseRepresentation
bin10010101000101100…
…100001010000000000
31220122112120000022021
4102220230201100000
5311440042041000
613105330051224
71305604100644
oct225054412000
956575500267
1020010112000
11853920634a
123a65419b14
131b6b808478
14d7b798c24
157c1ab711a
hex4a8b21400

20010112000 has 88 divisors (see below), whose sum is σ = 49921171560. Its totient is φ = 8003993600.

The previous prime is 20010111977. The next prime is 20010112007. The reversal of 20010112000 is 21101002.

It can be written as a sum of positive squares in 4 ways, for example, as 908660736 + 19101451264 = 30144^2 + 138208^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010112007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49836 + ... + 206164.

Almost surely, 220010112000 is an apocalyptic number.

20010112000 is a gapful number since it is divisible by the number (20) 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 20010112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24960585780).

20010112000 is an abundant number, since it is smaller than the sum of its proper divisors (29911059560).

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

20010112000 is an equidigital number, since it uses as much as digits as its factorization.

20010112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156364 (or 156336 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 20010112000 its reverse (21101002), we get a palindrome (20031213002).

The spelling of 20010112000 in words is "twenty billion, ten million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1024 1280 1600 2000 2560 3200 4000 5120 6400 8000 12800 16000 25600 32000 64000 128000 156329 312658 625316 781645 1250632 1563290 2501264 3126580 3908225 5002528 6253160 7816450 10005056 12506320 15632900 19541125 20010112 25012640 31265800 39082250 40020224 50025280 62531600 78164500 80040448 100050560 125063200 156329000 160080896 200101120 250126400 312658000 400202240 500252800 625316000 800404480 1000505600 1250632000 2001011200 2501264000 4002022400 5002528000 10005056000 20010112000