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34330103014141 = 1131012271124993
BaseRepresentation
bin1111100111001000110011…
…00110000110001011111101
311111112220222220110001101001
413303210121212012023331
513444431022332423031
6201003010454250301
710142160645621424
oct763443146061375
9144486886401331
1034330103014141
11aa36351193000
123a254a2056991
13162041288908c
1486982b8102bb
153e8011119861
hex1f39199862fd

34330103014141 has 32 divisors (see below), whose sum is σ = 38302427719296. Its totient is φ = 30764031232000.

The previous prime is 34330103014117. The next prime is 34330103014153. The reversal of 34330103014141 is 14141030103343.

It is not a de Polignac number, because 34330103014141 - 27 = 34330103014013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34330103014541) 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, 29953341 + ... + 31078333.

It is an arithmetic number, because the mean of its divisors is an integer number (1196950866228).

Almost surely, 234330103014141 is an apocalyptic number.

It is an amenable number.

34330103014141 is a deficient number, since it is larger than the sum of its proper divisors (3972324705155).

34330103014141 is a wasteful number, since it uses less digits than its factorization.

34330103014141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125354 (or 1125332 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 34330103014141 its reverse (14141030103343), we get a palindrome (48471133117484).

The spelling of 34330103014141 in words is "thirty-four trillion, three hundred thirty billion, one hundred three million, fourteen thousand, one hundred forty-one".

Divisors: 1 11 101 121 227 1111 1331 2497 12221 22927 27467 134431 252197 302137 1124993 2774167 12374923 30515837 113624293 136124153 255373411 1249867223 1497365683 2809107521 13748539453 25792714511 30900182731 151233933983 283719859621 339902010041 3120918455831 34330103014141