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100055405125 = 531361572557
BaseRepresentation
bin101110100101111000…
…1000101001001000101
3100120021000220012210101
41131023301011021011
53114403140431000
6113544222324101
710141315624324
oct1351361051105
9316230805711
10100055405125
1139484738865
1217484429631
13958713b140
144bb25640bb
152909030e6a
hex174bc45245

100055405125 has 16 divisors (see below), whose sum is σ = 134474466672. Its totient is φ = 73887067200.

The previous prime is 100055405113. The next prime is 100055405137. The reversal of 100055405125 is 521504550001.

It is an interprime number because it is at equal distance from previous prime (100055405113) and next prime (100055405137).

It can be written as a sum of positive squares in 8 ways, for example, as 52348982401 + 47706422724 = 228799^2 + 218418^2 .

It is not a de Polignac number, because 100055405125 - 221 = 100053307973 is a prime.

It is a super-2 number, since 2×1000554051252 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100055405093 and 100055405102.

It is a congruent number.

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, 30784654 + ... + 30787903.

It is an arithmetic number, because the mean of its divisors is an integer number (8404654167).

Almost surely, 2100055405125 is an apocalyptic number.

It is an amenable number.

100055405125 is a deficient number, since it is larger than the sum of its proper divisors (34419061547).

100055405125 is an equidigital number, since it uses as much as digits as its factorization.

100055405125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61572585 (or 61572575 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 28.

Adding to 100055405125 its reverse (521504550001), we get a palindrome (621559955126).

The spelling of 100055405125 in words is "one hundred billion, fifty-five million, four hundred five thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 325 1625 61572557 307862785 800443241 1539313925 4002216205 7696569625 20011081025 100055405125