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100311121005 = 3544091516763
BaseRepresentation
bin101110101101100000…
…0100011110001101101
3100120220212001221000220
41131123000203301231
53120414121333010
6114025435241553
710150542313554
oct1353300436155
9316825057026
10100311121005
11395a60159a7
1217535ba92b9
1395c8102404
144bd84cad9b
1529216e3970
hex175b023c6d

100311121005 has 16 divisors (see below), whose sum is σ = 160534301760. Its totient is φ = 53487095168.

The previous prime is 100311120997. The next prime is 100311121021. The reversal of 100311121005 is 500121113001.

It is a cyclic number.

It is not a de Polignac number, because 100311121005 - 23 = 100311120997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 692247 + ... + 824516.

It is an arithmetic number, because the mean of its divisors is an integer number (10033393860).

Almost surely, 2100311121005 is an apocalyptic number.

100311121005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100311121005 is a deficient number, since it is larger than the sum of its proper divisors (60223180755).

100311121005 is a wasteful number, since it uses less digits than its factorization.

100311121005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521180.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 100311121005 its reverse (500121113001), we get a palindrome (600432234006).

The spelling of 100311121005 in words is "one hundred billion, three hundred eleven million, one hundred twenty-one thousand, five".

Divisors: 1 3 5 15 4409 13227 22045 66135 1516763 4550289 7583815 22751445 6687408067 20062224201 33437040335 100311121005