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1211012192 = 25132325503
BaseRepresentation
bin100100000101110…
…1001010001100000
310010101201210102102
41020023221101200
54440004342232
6320100105532
742003301535
oct11013512140
93111653372
101211012192
11571648425
122996952a8
13163b7b980
14b6b98d8c
15714b3662
hex482e9460

1211012192 has 72 divisors (see below), whose sum is σ = 2684553984. Its totient is φ = 534530304.

The previous prime is 1211012171. The next prime is 1211012207. The reversal of 1211012192 is 2912101121.

It is a congruent number.

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, 217313 + ... + 222815.

It is an arithmetic number, because the mean of its divisors is an integer number (37285472).

Almost surely, 21211012192 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 1211012192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342276992).

1211012192 is an abundant number, since it is smaller than the sum of its proper divisors (1473541792).

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

1211012192 is a wasteful number, since it uses less digits than its factorization.

1211012192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5572 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

The square root of 1211012192 is about 34799.6004574765. The cubic root of 1211012192 is about 1065.8992873019.

The spelling of 1211012192 in words is "one billion, two hundred eleven million, twelve thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 529 598 736 1058 1196 2116 2392 4232 4784 5503 6877 8464 9568 11006 13754 16928 22012 27508 44024 55016 71539 88048 110032 126569 143078 176096 220064 253138 286156 506276 572312 1012552 1144624 1645397 2025104 2289248 2911087 3290794 4050208 5822174 6581588 11644348 13163176 23288696 26326352 37844131 46577392 52652704 75688262 93154784 151376524 302753048 605506096 1211012192