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212144441212 = 2211101211233971
BaseRepresentation
bin1100010110010011001…
…0110100011101111100
3202021120201012012221101
43011210302310131330
511433432434104322
6241242515342444
721220064666104
oct3054462643574
9667521165841
10212144441212
1181a74008680
12351468b1a24
131700b387672
14a3a6d7c204
1557b9727327
hex3164cb477c

212144441212 has 96 divisors (see below), whose sum is σ = 413140186368. Its totient is φ = 94516800000.

The previous prime is 212144441189. The next prime is 212144441291.

212144441212 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218479887 + ... + 218480857.

It is an arithmetic number, because the mean of its divisors is an integer number (4303543608).

Almost surely, 2212144441212 is an apocalyptic number.

212144441212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212144441212 is a deficient number, since it is larger than the sum of its proper divisors (200995745156).

212144441212 is a wasteful number, since it uses less digits than its factorization.

212144441212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1529 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

It can be divided in two parts, 212144 and 441212, that added together give a palindrome (653356).

The spelling of 212144441212 in words is "two hundred twelve billion, one hundred forty-four million, four hundred forty-one thousand, two hundred twelve".

Divisors: 1 2 4 11 22 44 101 202 211 233 404 422 466 844 932 971 1111 1942 2222 2321 2563 3884 4444 4642 5126 9284 10252 10681 21311 21362 23533 42622 42724 47066 49163 85244 94132 98071 98326 196142 196652 204881 226243 234421 258863 392284 409762 452486 468842 517726 540793 819524 904972 937684 1035452 1078781 1081586 2157562 2163172 2253691 2488673 4315124 4507382 4965463 4977346 9014764 9930926 9954692 19861852 20692981 22850543 41385962 45701086 47737273 54620093 82771924 91402172 95474546 109240186 190949092 218480372 227622791 251355973 455245582 502711946 525110003 910491164 1005423892 1050220006 2100440012 4821464573 9642929146 19285858292 53036110303 106072220606 212144441212