Search a number
-
+
211334221332 = 2232131798832857
BaseRepresentation
bin1100010011010010000…
…0000100111000010100
3202012111020121210012200
43010310200010320110
511430303030040312
6241030253444500
721161026146033
oct3046440047024
9665436553180
10211334221332
1181698727473
1234b5b4a0730
1316c0c566b10
14a32b51271a
15576d5320dc
hex3134804e14

211334221332 has 144 divisors (see below), whose sum is σ = 579370559040. Its totient is φ = 64566802944.

The previous prime is 211334221331. The next prime is 211334221387. The reversal of 211334221332 is 233122433112.

211334221332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 211334221296 and 211334221305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211334221331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73969248 + ... + 73972104.

It is an arithmetic number, because the mean of its divisors is an integer number (4023406660).

Almost surely, 2211334221332 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 211334221332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289685279520).

211334221332 is an abundant number, since it is smaller than the sum of its proper divisors (368036337708).

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

211334221332 is a wasteful number, since it uses less digits than its factorization.

211334221332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3937 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 211334221332 its reverse (233122433112), we get a palindrome (444456654444).

The spelling of 211334221332 in words is "two hundred eleven billion, three hundred thirty-four million, two hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 179 234 358 468 537 716 883 1074 1611 1766 2148 2327 2649 2857 3222 3532 4654 5298 5714 6444 6981 7947 8571 9308 10596 11428 11479 13962 15894 17142 20943 22958 25713 27924 31788 34284 34437 37141 41886 45916 51426 68874 74282 83772 102852 103311 111423 137748 148564 158057 206622 222846 316114 334269 413244 445692 474171 511403 632228 668538 948342 1022806 1337076 1422513 1534209 1896684 2045612 2054741 2522731 2845026 3068418 4109482 4602627 5045462 5690052 6136836 6164223 6648239 7568193 8218964 9205254 10090924 12328446 13296478 15136386 18410508 18492669 19944717 22704579 24656892 26592956 30272772 32795503 36985338 39889434 45409158 59834151 65591006 73970676 79778868 90818316 98386509 119668302 131182012 196773018 239336604 295159527 393546036 451568849 590319054 903137698 1180638108 1354706547 1806275396 2709413094 4064119641 5418826188 5870395037 8128239282 11740790074 16256478564 17611185111 23481580148 35222370222 52833555333 70444740444 105667110666 211334221332