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2301011136 = 263227114741
BaseRepresentation
bin1000100100100110…
…1010010011000000
312221100202110212200
42021021222103000
514203024324021
61020154353200
7111010162164
oct21111522300
95840673780
102301011136
11a809517a6
1254272b800
132a893a468
1417b852ca4
15d7021126
hex8926a4c0

2301011136 has 84 divisors (see below), whose sum is σ = 6620219424. Its totient is φ = 764121600.

The previous prime is 2301011123. The next prime is 2301011147. The reversal of 2301011136 is 6311101032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148726 + ... + 163466.

It is an arithmetic number, because the mean of its divisors is an integer number (78812136).

Almost surely, 22301011136 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 2301011136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310109712).

2301011136 is an abundant number, since it is smaller than the sum of its proper divisors (4319208288).

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

2301011136 is a wasteful number, since it uses less digits than its factorization.

2301011136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15030 (or 15017 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2301011136 is about 47968.8558963000. The cubic root of 2301011136 is about 1320.1995290666.

Adding to 2301011136 its reverse (6311101032), we get a palindrome (8612112168).

The spelling of 2301011136 in words is "two billion, three hundred one million, eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 271 288 542 576 813 1084 1626 2168 2439 3252 4336 4878 6504 8672 9756 13008 14741 17344 19512 26016 29482 39024 44223 52032 58964 78048 88446 117928 132669 156096 176892 235856 265338 353784 471712 530676 707568 943424 1061352 1415136 2122704 2830272 3994811 4245408 7989622 8490816 11984433 15979244 23968866 31958488 35953299 47937732 63916976 71906598 95875464 127833952 143813196 191750928 255667904 287626392 383501856 575252784 767003712 1150505568 2301011136