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211300342032 = 2431310925112377
BaseRepresentation
bin1100010011001001111…
…0110101100100010000
3202012101212212112112210
43010302132311210100
511430220341421112
6241023043352120
721160135162413
oct3046236654420
9665355775483
10211300342032
118168059744a
1234b50082640
1316c055341b0
14a326c13b7a
15576a58db3c
hex31327b5910

211300342032 has 160 divisors (see below), whose sum is σ = 595653125760. Its totient is φ = 64157184000.

The previous prime is 211300341991. The next prime is 211300342051. The reversal of 211300342032 is 230243003112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17065828 + ... + 17078204.

It is an arithmetic number, because the mean of its divisors is an integer number (3722832036).

Almost surely, 2211300342032 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 211300342032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297826562880).

211300342032 is an abundant number, since it is smaller than the sum of its proper divisors (384352783728).

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

211300342032 is a wasteful number, since it uses less digits than its factorization.

211300342032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12761 (or 12755 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 211300342032 its reverse (230243003112), we get a palindrome (441543345144).

The spelling of 211300342032 in words is "two hundred eleven billion, three hundred million, three hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 109 156 208 218 251 312 327 436 502 624 654 753 872 1004 1308 1417 1506 1744 2008 2616 2834 3012 3263 4016 4251 5232 5668 6024 6526 8502 9789 11336 12048 12377 13052 17004 19578 22672 24754 26104 27359 34008 37131 39156 49508 52208 54718 68016 74262 78312 82077 99016 109436 148524 156624 160901 164154 198032 218872 297048 321802 328308 355667 437744 482703 594096 643604 656616 711334 965406 1067001 1287208 1313232 1349093 1422668 1930812 2134002 2574416 2698186 2845336 3106627 3861624 4047279 4268004 5396372 5690672 6213254 7723248 8094558 8536008 9319881 10792744 12426508 16189116 17072016 17538209 18639762 21585488 24853016 32378232 35076418 37279524 40386151 49706032 52614627 64756464 70152836 74559048 80772302 105229254 121158453 140305672 149118096 161544604 210458508 242316906 280611344 323089208 338622343 420917016 484633812 646178416 677244686 841834032 969267624 1015867029 1354489372 1938535248 2031734058 2708978744 4063468116 4402090459 5417957488 8126936232 8804180918 13206271377 16253872464 17608361836 26412542754 35216723672 52825085508 70433447344 105650171016 211300342032