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211242141 = 33111674259
BaseRepresentation
bin11001001011101…
…00110010011101
3112201111012202000
430211310302131
5413034222031
632543352513
75143346205
oct1445646235
9481435660
10211242141
11a9271390
125a8b2739
13349c2366
14200ab405
151382a3e6
hexc974c9d

211242141 has 32 divisors (see below), whose sum is σ = 343526400. Its totient is φ = 127229040.

The previous prime is 211242137. The next prime is 211242173. The reversal of 211242141 is 141242112.

It is not a de Polignac number, because 211242141 - 22 = 211242137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211242131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47470 + ... + 51728.

It is an arithmetic number, because the mean of its divisors is an integer number (10735200).

Almost surely, 2211242141 is an apocalyptic number.

It is an amenable number.

211242141 is a deficient number, since it is larger than the sum of its proper divisors (132284259).

211242141 is a wasteful number, since it uses less digits than its factorization.

211242141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4446 (or 4440 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 211242141 is about 14534.1714934151. The cubic root of 211242141 is about 595.5618269785.

Adding to 211242141 its reverse (141242112), we get a palindrome (352484253).

It can be divided in two parts, 2112 and 42141, that added together give a triangular number (44253 = T297).

The spelling of 211242141 in words is "two hundred eleven million, two hundred forty-two thousand, one hundred forty-one".

Divisors: 1 3 9 11 27 33 99 167 297 501 1503 1837 4259 4509 5511 12777 16533 38331 46849 49599 114993 140547 421641 711253 1264923 2133759 6401277 7823783 19203831 23471349 70414047 211242141