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105214114503 = 3217687673951
BaseRepresentation
bin110000111111100111…
…1111111101011000111
3101001120112220210200200
41201333033333223013
53210434303131003
6120200143341543
710413206134341
oct1417717775307
9331515823620
10105214114503
1140691696543
1218483bb18b3
139bc9b27bb4
14514173a291
152b0bd876a3
hex187f3ffac7

105214114503 has 12 divisors (see below), whose sum is σ = 160915704768. Its totient is φ = 66016699200.

The previous prime is 105214114493. The next prime is 105214114531. The reversal of 105214114503 is 305411412501.

105214114503 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 141 + 14 + 503 = 666.

It is not a de Polignac number, because 105214114503 - 216 = 105214048967 is a prime.

It is a super-2 number, since 2×1052141145032 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105214114003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 343836823 + ... + 343837128.

It is an arithmetic number, because the mean of its divisors is an integer number (13409642064).

Almost surely, 2105214114503 is an apocalyptic number.

105214114503 is a deficient number, since it is larger than the sum of its proper divisors (55701590265).

105214114503 is a wasteful number, since it uses less digits than its factorization.

105214114503 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687673974 (or 687673971 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 105214114503 in words is "one hundred five billion, two hundred fourteen million, one hundred fourteen thousand, five hundred three".

Divisors: 1 3 9 17 51 153 687673951 2063021853 6189065559 11690457167 35071371501 105214114503