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211242344022 = 232317125720747
BaseRepresentation
bin1100010010111100000…
…1100101111001010110
3202012020211201221020100
43010233001211321112
511430111020002042
6241013212314530
721155532204123
oct3045701457126
9665224657210
10211242344022
1181650883706
1234b34772a46
1316bc6508548
14a31d23774a
15576543424c
hex312f065e56

211242344022 has 96 divisors (see below), whose sum is σ = 480997730304. Its totient is φ = 66918297600.

The previous prime is 211242344003. The next prime is 211242344023. The reversal of 211242344022 is 220443242112.

It is a happy number.

211242344022 is a `hidden beast` number, since 2 + 1 + 1 + 24 + 234 + 402 + 2 = 666.

211242344022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211242344023) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10171453 + ... + 10192199.

It is an arithmetic number, because the mean of its divisors is an integer number (5010393024).

Almost surely, 2211242344022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211242344022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240498865152).

211242344022 is an abundant number, since it is smaller than the sum of its proper divisors (269755386282).

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

211242344022 is a wasteful number, since it uses less digits than its factorization.

211242344022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21114 (or 21111 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 211242344022 its reverse (220443242112), we get a palindrome (431685586134).

The spelling of 211242344022 in words is "two hundred eleven billion, two hundred forty-two million, three hundred forty-four thousand, twenty-two".

Divisors: 1 2 3 6 9 18 31 62 71 93 142 186 213 257 279 426 514 558 639 771 1278 1542 2201 2313 4402 4626 6603 7967 13206 15934 18247 19809 20747 23901 36494 39618 41494 47802 54741 62241 71703 109482 124482 143406 164223 186723 328446 373446 565657 643157 1131314 1286314 1473037 1696971 1929471 2946074 3393942 3858942 4419111 5090913 5331979 5788413 8838222 10181826 10663958 11576826 13257333 15995937 26514666 31991874 45664147 47987811 91328294 95975622 136992441 165291349 273984882 330582698 378570509 410977323 495874047 757141018 821954646 991748094 1135711527 1487622141 2271423054 2975244282 3407134581 6814269162 11735685779 23471371558 35207057337 70414114674 105621172011 211242344022