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112032050262 = 231119211342281
BaseRepresentation
bin110100001010110100…
…0010110110001010110
3101201011201001211021220
41220111220112301112
53313420201102022
6123244455351210
711044154500146
oct1502550266126
9351151054256
10112032050262
11435701985a0
1219867382506
13a7454b6502
1455cb022926
152daa6db85c
hex1a15a16c56

112032050262 has 64 divisors (see below), whose sum is σ = 257426346240. Its totient is φ = 32146329600.

The previous prime is 112032050233. The next prime is 112032050279. The reversal of 112032050262 is 262050230211.

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 31 ways as a sum of consecutive naturals, for example, 2628562 + ... + 2670842.

It is an arithmetic number, because the mean of its divisors is an integer number (4022286660).

Almost surely, 2112032050262 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112032050262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128713173120).

112032050262 is an abundant number, since it is smaller than the sum of its proper divisors (145394295978).

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

112032050262 is a wasteful number, since it uses less digits than its factorization.

112032050262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44429.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 112032050262 its reverse (262050230211), we get a palindrome (374082280473).

It can be divided in two parts, 11203 and 2050262, that added together give a triangular number (2061465 = T2030).

The spelling of 112032050262 in words is "one hundred twelve billion, thirty-two million, fifty thousand, two hundred sixty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 2113 4226 6339 12678 23243 40147 42281 46486 69729 80294 84562 120441 126843 139458 240882 253686 441617 465091 803339 883234 930182 1324851 1395273 1606678 2410017 2649702 2790546 4820034 8836729 17673458 26510187 53020374 89339753 178679506 268019259 536038518 982737283 1697455307 1965474566 2948211849 3394910614 5092365921 5896423698 10184731842 18672008377 37344016754 56016025131 112032050262