Search a number
-
+
241333003001431 = 1131273314313273
BaseRepresentation
bin110110110111110110110111…
…111010101001111001010111
31011122111012122220212201000101
4312313312313322221321113
5223112444442232021211
62213134503454154531
7101555506535055055
oct6667666772517127
91148435586781011
10241333003001431
116a99482a724000
1223097b524b2a47
13a4877b220b593
14438481887b1d5
151cd795a2935c1
hexdb7db7ea9e57

241333003001431 has 32 divisors (see below), whose sum is σ = 268346649747456. Its totient is φ = 217008478209600.

The previous prime is 241333003001399. The next prime is 241333003001449. The reversal of 241333003001431 is 134100300333142.

It is not a de Polignac number, because 241333003001431 - 25 = 241333003001399 is a prime.

It is a super-2 number, since 2×2413330030014312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 241333003001431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241333003001471) 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, 53794611 + ... + 58107883.

It is an arithmetic number, because the mean of its divisors is an integer number (8385832804608).

Almost surely, 2241333003001431 is an apocalyptic number.

241333003001431 is a deficient number, since it is larger than the sum of its proper divisors (27013646746025).

241333003001431 is a wasteful number, since it uses less digits than its factorization.

241333003001431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313764 (or 4313742 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 241333003001431 its reverse (134100300333142), we get a palindrome (375433303334573).

The spelling of 241333003001431 in words is "two hundred forty-one trillion, three hundred thirty-three billion, three million, one thousand, four hundred thirty-one".

Divisors: 1 11 121 127 331 1331 1397 3641 15367 40051 42037 169037 440561 462407 4313273 5086477 47446003 55951247 521906033 547785671 1427693363 5740966363 6025642381 15704626993 66282066191 172750896923 181317057101 729102728101 1900259866153 1994487628111 21939363909221 241333003001431