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214010041201 = 111719107562931
BaseRepresentation
bin1100011101001111111…
…1100001001101110001
3202110101201122112000021
43013103333201031301
512001243032304301
6242152001523441
721314240223115
oct3072377411561
9673351575007
10214010041201
11828410a8550
1235587643581
1317247a35598
14a502a4d745
1558783dc8a1
hex31d3fe1371

214010041201 has 32 divisors (see below), whose sum is σ = 262641553920. Its totient is φ = 171851270400.

The previous prime is 214010041183. The next prime is 214010041207. The reversal of 214010041201 is 102140010412.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 214010041201 - 219 = 214009516913 is a prime.

It is a super-3 number, since 3×2140100412013 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (214010041207) 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, 98706 + ... + 661636.

It is an arithmetic number, because the mean of its divisors is an integer number (8207548560).

Almost surely, 2214010041201 is an apocalyptic number.

It is an amenable number.

214010041201 is a deficient number, since it is larger than the sum of its proper divisors (48631512719).

214010041201 is a wasteful number, since it uses less digits than its factorization.

214010041201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563085.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 214010041201 its reverse (102140010412), we get a palindrome (316150051613).

The spelling of 214010041201 in words is "two hundred fourteen billion, ten million, forty-one thousand, two hundred one".

Divisors: 1 11 17 19 107 187 209 323 1177 1819 2033 3553 20009 22363 34561 380171 562931 6192241 9569827 10695689 60233617 105268097 117652579 181826713 662569787 1023971489 1144438723 2000093843 11263686379 12588825953 19455458291 214010041201