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100605055505 = 5296111374229
BaseRepresentation
bin101110110110010000…
…1110101001000010001
3100121200100011100100212
41131230201311020101
53122014343234010
6114114535253505
710161041601503
oct1355441651021
9317610140325
10100605055505
1139736a27279
12175b851a295
139643c88456
144c25561d73
15293c405505
hex176c875211

100605055505 has 16 divisors (see below), whose sum is σ = 126936406800. Its totient is φ = 76434812160.

The previous prime is 100605055477. The next prime is 100605055519. The reversal of 100605055505 is 505550506001.

It can be written as a sum of positive squares in 8 ways, for example, as 1382575489 + 99222480016 = 37183^2 + 314996^2 .

It is not a de Polignac number, because 100605055505 - 224 = 100588278289 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5678270 + ... + 5695959.

It is an arithmetic number, because the mean of its divisors is an integer number (7933525425).

Almost surely, 2100605055505 is an apocalyptic number.

It is an amenable number.

100605055505 is a deficient number, since it is larger than the sum of its proper divisors (26331351295).

100605055505 is a wasteful number, since it uses less digits than its factorization.

100605055505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11374324.

The product of its (nonzero) digits is 18750, while the sum is 32.

The spelling of 100605055505 in words is "one hundred billion, six hundred five million, fifty-five thousand, five hundred five".

Divisors: 1 5 29 61 145 305 1769 8845 11374229 56871145 329852641 693827969 1649263205 3469139845 20121011101 100605055505