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212534435212 = 221129243133571
BaseRepresentation
bin1100010111110000001…
…0100001110110001100
3202022120220000222010121
43011330002201312030
511440232303411322
6241345330314324
721232541614621
oct3057402416614
9668526028117
10212534435212
1182154169970
12352354289a4
1317071104748
14a402a9a348
1557ddab0ec7
hex317c0a1d8c

212534435212 has 72 divisors (see below), whose sum is σ = 429997119552. Its totient is φ = 91105425600.

The previous prime is 212534435203. The next prime is 212534435221.

212534435212 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (212534435203) and next prime (212534435221).

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 23 ways as a sum of consecutive naturals, for example, 1524387 + ... + 1657957.

It is an arithmetic number, because the mean of its divisors is an integer number (5972182216).

Almost surely, 2212534435212 is an apocalyptic number.

212534435212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212534435212 is an abundant number, since it is smaller than the sum of its proper divisors (217462684340).

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

212534435212 is a wasteful number, since it uses less digits than its factorization.

212534435212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133687 (or 133656 counting only the distinct ones).

The product of its digits is 57600, while the sum is 34.

It can be divided in two parts, 212534 and 435212, that added together give a palindrome (647746).

The spelling of 212534435212 in words is "two hundred twelve billion, five hundred thirty-four million, four hundred thirty-five thousand, two hundred twelve".

Divisors: 1 2 4 11 22 29 43 44 58 86 116 172 319 473 638 841 946 1247 1276 1682 1892 2494 3364 4988 9251 13717 18502 27434 36163 37004 54868 72326 133571 144652 267142 397793 534284 795586 1469281 1591172 2938562 3873559 5743553 5877124 7747118 11487106 15494236 22974212 42609149 63179083 85218298 112333211 126358166 166563037 170436596 224666422 252716332 333126074 449332844 666252148 1235665321 1832193407 2471330642 3664386814 4830328073 4942661284 7328773628 9660656146 19321312292 53133608803 106267217606 212534435212