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107101216014 = 23132195559079
BaseRepresentation
bin110001110111110111…
…0101101110100001110
3101020110001211111022020
41203233232231310032
53223320402403024
6121111314431010
710511032213122
oct1435756556416
9336401744266
10107101216014
114146a931871
121890bb92466
13a13aa93800
145280207582
152bbc898979
hex18efbadd0e

107101216014 has 48 divisors (see below), whose sum is σ = 244154793600. Its totient is φ = 31219782048.

The previous prime is 107101216009. The next prime is 107101216031. The reversal of 107101216014 is 410612101701.

It is a super-2 number, since 2×1071012160142 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2760274 + ... + 2798805.

It is an arithmetic number, because the mean of its divisors is an integer number (5086558200).

Almost surely, 2107101216014 is an apocalyptic number.

107101216014 is an abundant number, since it is smaller than the sum of its proper divisors (137053577586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107101216014 is a wasteful number, since it uses less digits than its factorization.

107101216014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5559129 (or 5559116 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

Adding to 107101216014 its reverse (410612101701), we get a palindrome (517713317715).

It can be divided in two parts, 10710121 and 6014, that added together give a triangular number (10716135 = T4629).

The spelling of 107101216014 in words is "one hundred seven billion, one hundred one million, two hundred sixteen thousand, fourteen".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 169 247 338 494 507 741 1014 1482 3211 6422 9633 19266 5559079 11118158 16677237 33354474 72268027 105622501 144536054 211245002 216804081 316867503 433608162 633735006 939484351 1373092513 1878968702 2746185026 2818453053 4119277539 5636906106 8238555078 17850202669 35700405338 53550608007 107101216014