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212907120237 = 32737329033121
BaseRepresentation
bin1100011001001001000…
…0001101011001101101
3202100112212022022212200
43012102100031121231
511442013210321422
6241450322252113
721245015443110
oct3062220153155
9670485268780
10212907120237
1182325578719
123531a1b7039
13171003a1226
14a43a390577
15581167b2ac
hex319240d66d

212907120237 has 48 divisors (see below), whose sum is σ = 352642338048. Its totient is φ = 121254382080.

The previous prime is 212907120229. The next prime is 212907120253. The reversal of 212907120237 is 732021709212.

212907120237 is a `hidden beast` number, since 212 + 90 + 7 + 120 + 237 = 666.

It is not a de Polignac number, because 212907120237 - 23 = 212907120229 is a prime.

It is a super-2 number, since 2×2129071202372 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212907120277) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 68216037 + ... + 68219157.

It is an arithmetic number, because the mean of its divisors is an integer number (7346715376).

Almost surely, 2212907120237 is an apocalyptic number.

It is an amenable number.

212907120237 is a deficient number, since it is larger than the sum of its proper divisors (139735217811).

212907120237 is a wasteful number, since it uses less digits than its factorization.

212907120237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6410 (or 6407 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

Adding to 212907120237 its reverse (732021709212), we get a palindrome (944928829449).

The spelling of 212907120237 in words is "two hundred twelve billion, nine hundred seven million, one hundred twenty thousand, two hundred thirty-seven".

Divisors: 1 3 7 9 21 63 373 1119 2611 2903 3121 3357 7833 8709 9363 20321 21847 23499 26127 28089 60963 65541 182889 196623 1082819 1164133 3248457 3492399 7579733 8148931 9060263 9745371 10477197 22739199 24446793 27180789 63421841 68217597 73340379 81542367 190265523 570796569 3379478099 10138434297 23656346693 30415302891 70969040079 212907120237