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2134201212 = 22321113715839
BaseRepresentation
bin111111100110101…
…0101001101111100
312111201212122200100
41333031111031330
513332323414322
6551435201100
7103613260653
oct17715251574
95451778610
102134201212
119a5778a60
124b68a6190
13280204170
1416363019a
15c7570dac
hex7f35537c

2134201212 has 144 divisors (see below), whose sum is σ = 6428298240. Its totient is φ = 588470400.

The previous prime is 2134201193. The next prime is 2134201213. The reversal of 2134201212 is 2121024312.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134201213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362589 + ... + 368427.

It is an arithmetic number, because the mean of its divisors is an integer number (44640960).

Almost surely, 22134201212 is an apocalyptic number.

2134201212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214149120).

2134201212 is an abundant number, since it is smaller than the sum of its proper divisors (4294097028).

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

2134201212 is a wasteful number, since it uses less digits than its factorization.

2134201212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5944 (or 5939 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2134201212 is about 46197.4156420032. The cubic root of 2134201212 is about 1287.4937240653.

Adding to 2134201212 its reverse (2121024312), we get a palindrome (4255225524).

Subtracting from 2134201212 its reverse (2121024312), we obtain a square (13176900 = 36302).

The spelling of 2134201212 in words is "two billion, one hundred thirty-four million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 71 78 99 117 132 142 143 156 198 213 234 284 286 396 426 429 468 572 639 781 852 858 923 1278 1287 1562 1716 1846 2343 2556 2574 2769 3124 3692 4686 5148 5538 5839 7029 8307 9372 10153 11076 11678 14058 16614 17517 20306 23356 28116 30459 33228 35034 40612 52551 60918 64229 70068 75907 91377 105102 121836 128458 151814 182754 192687 210204 227721 256916 303628 365508 385374 414569 455442 578061 683163 770748 829138 834977 910884 1156122 1243707 1366326 1658276 1669954 2312244 2487414 2504931 2732652 3339908 3731121 4560259 4974828 5009862 5389397 7462242 7514793 9120518 10019724 10778794 13680777 14924484 15029586 16168191 18241036 21557588 27361554 30059172 32336382 41042331 48504573 54723108 59283367 64672764 82084662 97009146 118566734 164169324 177850101 194018292 237133468 355700202 533550303 711400404 1067100606 2134201212