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201000213141 = 37133731762773
BaseRepresentation
bin1011101100110010001…
…0111101101010010101
3201012211001100202222120
42323030202331222111
511243122023310031
6232201020050153
720343654423210
oct2731442755225
9635731322876
10201000213141
1178275420132
1232b56693959
1315c53602380
149a2ac86777
155366198a96
hex2ecc8bda95

201000213141 has 64 divisors (see below), whose sum is σ = 339835335168. Its totient is φ = 102829575168.

The previous prime is 201000213137. The next prime is 201000213173. The reversal of 201000213141 is 141312000102.

It is not a de Polignac number, because 201000213141 - 22 = 201000213137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 201000213141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201000213241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3170631 + ... + 3233403.

It is an arithmetic number, because the mean of its divisors is an integer number (5309927112).

Almost surely, 2201000213141 is an apocalyptic number.

201000213141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201000213141 is a deficient number, since it is larger than the sum of its proper divisors (138835122027).

201000213141 is a wasteful number, since it uses less digits than its factorization.

201000213141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63150.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 201000213141 its reverse (141312000102), we get a palindrome (342312213243).

The spelling of 201000213141 in words is "two hundred one billion, two hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 7 13 21 37 39 91 111 259 273 317 481 777 951 1443 2219 3367 4121 6657 10101 11729 12363 28847 35187 62773 82103 86541 152477 188319 246309 439411 457431 816049 1067339 1318233 2322601 2448147 3202017 5712343 6967803 16258207 17137029 19899041 30193813 48774621 59697123 90581439 139293287 211356691 258687533 417879861 634070073 736264517 776062599 1810812731 2208793551 5153851619 5432438193 9571438721 15461554857 28714316163 67000071047 201000213141