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105201744433214 = 211132912684078181
BaseRepresentation
bin10111111010111000110000…
…100110110101000000111110
3111210111012002110011201200212
4113322320300212311000332
5102242111133033330324
61011425003022352422
731105401204244502
oct2772706046650076
9453435073151625
10105201744433214
113057a89a146380
12b97097742b712
134691635a62280
141bd9b1220a302
15c2681369470e
hex5fae309b503e

105201744433214 has 32 divisors (see below), whose sum is σ = 191783262111840. Its totient is φ = 42618502684800.

The previous prime is 105201744433213. The next prime is 105201744433231. The reversal of 105201744433214 is 412334447102501.

It is a happy number.

It is a super-2 number, since 2×1052017444332142 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105201744433213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6342030797 + ... + 6342047384.

It is an arithmetic number, because the mean of its divisors is an integer number (5993226940995).

Almost surely, 2105201744433214 is an apocalyptic number.

105201744433214 is a deficient number, since it is larger than the sum of its proper divisors (86581517678626).

105201744433214 is a wasteful number, since it uses less digits than its factorization.

105201744433214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12684078236.

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 105201744433214 in words is "one hundred five trillion, two hundred one billion, seven hundred forty-four million, four hundred thirty-three thousand, two hundred fourteen".

Divisors: 1 2 11 13 22 26 29 58 143 286 319 377 638 754 4147 8294 12684078181 25368156362 139524859991 164893016353 279049719982 329786032706 367838267249 735676534498 1813823179883 3627646359766 4046220939739 4781897474237 8092441879478 9563794948474 52600872216607 105201744433214