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211220432141 = 1313736836329
BaseRepresentation
bin1100010010110110111…
…0000000010100001101
3202012012022111200210012
43010231232000110031
511430034412312031
6241011110523005
721155145023105
oct3045556002415
9665168450705
10211220432141
118163a477a14
1234b29366465
1316bc1b05b34
14a31a372205
155763556b2b
hex312db8050d

211220432141 has 16 divisors (see below), whose sum is σ = 213749616960. Its totient is φ = 208707058560.

The previous prime is 211220432119. The next prime is 211220432153. The reversal of 211220432141 is 141234022112.

It is a cyclic number.

It is not a de Polignac number, because 211220432141 - 218 = 211220169997 is a prime.

It is a super-2 number, since 2×2112204321412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211220432041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33370265 + ... + 33376593.

It is an arithmetic number, because the mean of its divisors is an integer number (13359351060).

Almost surely, 2211220432141 is an apocalyptic number.

It is an amenable number.

211220432141 is a deficient number, since it is larger than the sum of its proper divisors (2529184819).

211220432141 is a wasteful number, since it uses less digits than its factorization.

211220432141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7516.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 211220432141 its reverse (141234022112), we get a palindrome (352454454253).

The spelling of 211220432141 in words is "two hundred eleven billion, two hundred twenty million, four hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 131 373 683 6329 48863 89473 254759 829099 2360717 4322707 33373429 309253927 566274617 1612369711 211220432141