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214202611161 = 3571123497737
BaseRepresentation
bin1100011101111101111…
…0000111010111011001
3202110220011000002100000
43013133132013113121
512002141332024121
6242223041203213
721322066103430
oct3073736072731
9673804002300
10214202611161
118292a876180
1235620030509
13172788ba9c6
14a52045a117
15588a27a526
hex31df7875d9

214202611161 has 96 divisors (see below), whose sum is σ = 417430960128. Its totient is φ = 106435866240.

The previous prime is 214202611109. The next prime is 214202611163. The reversal of 214202611161 is 161116202412.

214202611161 is a `hidden beast` number, since 2 + 1 + 42 + 0 + 2 + 611 + 1 + 6 + 1 = 666.

It is not a de Polignac number, because 214202611161 - 214 = 214202594777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (214202611163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181485 + ... + 679221.

It is an arithmetic number, because the mean of its divisors is an integer number (4348239168).

Almost surely, 2214202611161 is an apocalyptic number.

214202611161 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

214202611161 is a deficient number, since it is larger than the sum of its proper divisors (203228348967).

214202611161 is a wasteful number, since it uses less digits than its factorization.

214202611161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497793 (or 497781 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 214202611161 its reverse (161116202412), we get a palindrome (375318813573).

The spelling of 214202611161 in words is "two hundred fourteen billion, two hundred two million, six hundred eleven thousand, one hundred sixty-one".

Divisors: 1 3 7 9 11 21 23 27 33 63 69 77 81 99 161 189 207 231 243 253 297 483 567 621 693 759 891 1449 1701 1771 1863 2079 2277 2673 4347 5313 5589 6237 6831 13041 15939 18711 20493 39123 47817 61479 143451 430353 497737 1493211 3484159 4479633 5475107 10452477 11447951 13438899 16425321 31357431 34343853 38325749 40316697 49275963 80135657 94072293 103031559 114977247 120950091 125927461 147827889 240406971 282216879 309094677 344931741 377782383 443483667 721220913 846650637 881492227 927284031 1034795223 1133347149 1330451001 2163662739 2644476681 2781852093 3104385669 3400041447 6490988217 7933430043 9313157007 10200124341 19472964651 23800290129 30600373023 71400870387 214202611161