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2301201112 = 237219793911
BaseRepresentation
bin1000100100101001…
…1000101011011000
312221101010010110211
42021022120223120
514203101413422
61020202420504
7111011613100
oct21112305330
95841103424
102301201112
11a80a71501
12542801734
132a89a5a82
1417b8a2200
15d705c577
hex89298ad8

2301201112 has 96 divisors (see below), whose sum is σ = 5351616000. Its totient is φ = 922259520.

The previous prime is 2301201109. The next prime is 2301201157. The reversal of 2301201112 is 2111021032.

It is a junction number, because it is equal to n+sod(n) for n = 2301201092 and 2301201101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586437 + ... + 590347.

It is an arithmetic number, because the mean of its divisors is an integer number (55746000).

Almost surely, 22301201112 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 2301201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675808000).

2301201112 is an abundant number, since it is smaller than the sum of its proper divisors (3050414888).

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

2301201112 is a wasteful number, since it uses less digits than its factorization.

2301201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4029 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2301201112 is about 47970.8360569211. The cubic root of 2301201112 is about 1320.2358608224.

Adding to 2301201112 its reverse (2111021032), we get a palindrome (4412222144).

The spelling of 2301201112 in words is "two billion, three hundred one million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 79 98 133 152 158 196 266 316 392 532 553 632 931 1064 1106 1501 1862 2212 3002 3724 3871 3911 4424 6004 7448 7742 7822 10507 12008 15484 15644 21014 27377 30968 31288 42028 54754 73549 74309 84056 109508 147098 148618 191639 219016 294196 297236 308969 383278 520163 588392 594472 617938 766556 1040326 1235876 1533112 2080652 2162783 2471752 3641141 4161304 4325566 5870411 7282282 8651132 11740822 14564564 15139481 17302264 23481644 29129128 30278962 41092877 46963288 60557924 82185754 121115848 164371508 287650139 328743016 575300278 1150600556 2301201112