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201041413131 = 313611276531019
BaseRepresentation
bin1011101100111100000…
…0001000010000001011
3201012220220212221202010
42323033000020100023
511243213100210011
6232205051111003
720344664546616
oct2731700102013
9635826787663
10201041413131
1178296700309
1232b68442463
1315c5bcc9170
149a3252d17d
155369ad61a6
hex2ecf00840b

201041413131 has 64 divisors (see below), whose sum is σ = 296461025280. Its totient is φ = 120428259840.

The previous prime is 201041413127. The next prime is 201041413213. The reversal of 201041413131 is 131314140102.

It is not a de Polignac number, because 201041413131 - 22 = 201041413127 is a prime.

It is a super-2 number, since 2×2010414131312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201041413098 and 201041413107.

It is not an unprimeable number, because it can be changed into a prime (201041413231) 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, 197292340 + ... + 197293358.

It is an arithmetic number, because the mean of its divisors is an integer number (4632203520).

Almost surely, 2201041413131 is an apocalyptic number.

201041413131 is a deficient number, since it is larger than the sum of its proper divisors (95419612149).

201041413131 is a wasteful number, since it uses less digits than its factorization.

201041413131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 201041413131 its reverse (131314140102), we get a palindrome (332355553233).

The spelling of 201041413131 in words is "two hundred one billion, forty-one million, four hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 13 39 61 127 183 381 653 793 1019 1651 1959 2379 3057 4953 7747 8489 13247 23241 25467 39741 39833 62159 82931 100711 119499 129413 186477 248793 302133 388239 517829 665407 808067 1078103 1553487 1682369 1996221 2424201 3234309 5047107 5058791 7894193 8650291 15176373 23682579 25950873 40589827 65764283 84506689 102624509 121769481 197292849 253520067 307873527 527667751 1098586957 1583003253 3295760871 5154908029 15464724087 67013804377 201041413131