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4101111134341 = 132193739673541
BaseRepresentation
bin111011101011011101010…
…001011011100010000101
3112112001200111010111221121
4323223131101123202011
51014143033422244331
612420005140313541
7602203233320254
oct73533521334205
915461614114847
104101111134341
1113412a9357411
125629a59a28b1
1323996b886b00
141026cdb9a79b
1571a2ca29c11
hex3badd45b885

4101111134341 has 48 divisors (see below), whose sum is σ = 4693281479040. Its totient is φ = 3572073872640.

The previous prime is 4101111134321. The next prime is 4101111134347. The reversal of 4101111134341 is 1434311111014.

It is a de Polignac number, because none of the positive numbers 2k-4101111134341 is a prime.

It is a super-2 number, since 2×41011111343412 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101111134347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1158177031 + ... + 1158180571.

It is an arithmetic number, because the mean of its divisors is an integer number (97776697480).

Almost surely, 24101111134341 is an apocalyptic number.

It is an amenable number.

4101111134341 is a deficient number, since it is larger than the sum of its proper divisors (592170344699).

4101111134341 is a wasteful number, since it uses less digits than its factorization.

4101111134341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4926 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 4101111134341 its reverse (1434311111014), we get a palindrome (5535422245355).

The spelling of 4101111134341 in words is "four trillion, one hundred one billion, one hundred eleven million, one hundred thirty-four thousand, three hundred forty-one".

Divisors: 1 13 19 169 247 373 967 3211 3541 4849 7087 12571 18373 46033 63037 67279 92131 163423 238849 360691 598429 874627 1197703 1320793 3105037 3424147 4688983 6853129 11370151 17170309 25095067 44513911 60956779 65058793 89090677 223214017 326235871 578680843 845764309 1158178801 1277206831 4241066323 10994936017 16603688803 24266929789 215847954439 315470087257 4101111134341