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201202202112 = 293233956003
BaseRepresentation
bin1011101101100010010…
…1011111011000000000
3201020100010102212202120
42323120211133120000
511244030230431422
6232233033244240
720351656333302
oct2733045373000
9636303385676
10201202202112
117836944146a
1232bb2263680
1315c86404a82
149a49a25972
155378c9745c
hex2ed895f600

201202202112 has 80 divisors (see below), whose sum is σ = 536253981120. Its totient is φ = 67037530112.

The previous prime is 201202202107. The next prime is 201202202119. The reversal of 201202202112 is 211202202102.

It is a super-2 number, since 2×2012022021122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201202202091 and 201202202100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201202202119) 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, 3564703 + ... + 3620705.

It is an arithmetic number, because the mean of its divisors is an integer number (6703174764).

Almost surely, 2201202202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201202202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268126990560).

201202202112 is an abundant number, since it is smaller than the sum of its proper divisors (335051779008).

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

201202202112 is an equidigital number, since it uses as much as digits as its factorization.

201202202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58363 (or 58347 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 201202202112 its reverse (211202202102), we get a palindrome (412404404214).

The spelling of 201202202112 in words is "two hundred one billion, two hundred two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 2339 4678 7017 9356 14034 18712 28068 37424 56003 56136 74848 112006 112272 149696 168009 224012 224544 299392 336018 448024 449088 598784 672036 896048 898176 1197568 1344072 1792096 1796352 2688144 3584192 3592704 5376288 7168384 10752576 14336768 21505152 28673536 43010304 86020608 130991017 261982034 392973051 523964068 785946102 1047928136 1571892204 2095856272 3143784408 4191712544 6287568816 8383425088 12575137632 16766850176 25150275264 33533700352 50300550528 67067400704 100601101056 201202202112