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200101112112 = 243111228130859
BaseRepresentation
bin1011101001011011110…
…1001010100100110000
3201010111101112201020110
42322112331022210300
511234301341041422
6231531501141320
720312456250336
oct2722675124460
9633441481213
10200101112112
1177953952230
123294555a840
1315b3c261c25
1499836c1b56
15531229860c
hex2e96f4a930

200101112112 has 80 divisors (see below), whose sum is σ = 563985509760. Its totient is φ = 60629798400.

The previous prime is 200101112087. The next prime is 200101112129. The reversal of 200101112112 is 211211101002.

200101112112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6468939 + ... + 6499797.

It is an arithmetic number, because the mean of its divisors is an integer number (7049818872).

Almost surely, 2200101112112 is an apocalyptic number.

200101112112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

200101112112 is an abundant number, since it is smaller than the sum of its proper divisors (363884397648).

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

200101112112 is a wasteful number, since it uses less digits than its factorization.

200101112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43162 (or 43156 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 200101112112 its reverse (211211101002), we get a palindrome (411312213114).

It can be divided in two parts, 200101 and 112112, that added together give a palindrome (312213).

The spelling of 200101112112 in words is "two hundred billion, one hundred one million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 12281 24562 30859 36843 49124 61718 73686 92577 98248 123436 135091 147372 185154 196496 246872 270182 294744 339449 370308 405273 493744 540364 589488 678898 740616 810546 1018347 1080728 1357796 1481232 1621092 2036694 2161456 2715592 3242184 4073388 5431184 6484368 8146776 16293552 378979379 757958758 1136938137 1515917516 2273876274 3031835032 4168773169 4547752548 6063670064 8337546338 9095505096 12506319507 16675092676 18191010192 25012639014 33350185352 50025278028 66700370704 100050556056 200101112112