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211342003314 = 231371147125943
BaseRepresentation
bin1100010011010011110…
…1110000110001110010
3202012111210021011002020
43010310331300301302
511430312023101224
6241031132332310
721161152250031
oct3046475606162
9665453234066
10211342003314
11816a2062162
1234b62014096
1316c1105cc40
14a32c57a718
15576e06cc79
hex3134f70c72

211342003314 has 64 divisors (see below), whose sum is σ = 461941014528. Its totient is φ = 64066363200.

The previous prime is 211342003309. The next prime is 211342003387. The reversal of 211342003314 is 413300243112.

It is a happy number.

211342003314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8133427 + ... + 8159369.

It is an arithmetic number, because the mean of its divisors is an integer number (7217828352).

Almost surely, 2211342003314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211342003314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230970507264).

211342003314 is an abundant number, since it is smaller than the sum of its proper divisors (250599011214).

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

211342003314 is a wasteful number, since it uses less digits than its factorization.

211342003314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27503.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 211342003314 its reverse (413300243112), we get a palindrome (624642246426).

The spelling of 211342003314 in words is "two hundred eleven billion, three hundred forty-two million, three thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 26 39 71 78 142 213 426 923 1471 1846 2769 2942 4413 5538 8826 19123 25943 38246 51886 57369 77829 104441 114738 155658 208882 313323 337259 626646 674518 1011777 1357733 1841953 2023554 2715466 3683906 4073199 5525859 8146398 11051718 23945389 38162153 47890778 71836167 76324306 114486459 143672334 228972918 496107989 992215978 1488323967 2709512863 2976647934 5419025726 8128538589 16257077178 35223667219 70447334438 105671001657 211342003314