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100220022001 = 119470996199
BaseRepresentation
bin101110101010110010…
…1000010110011110001
3100120200111122121200201
41131111211002303301
53120222311201001
6114012422515201
710145355063031
oct1352545026361
9316614577621
10100220022001
1139559653970
121750b595b01
1395b2287188
144bca3758c1
1529186eb501
hex1755942cf1

100220022001 has 8 divisors (see below), whose sum is σ = 109333224000. Its totient is φ = 91107201840.

The previous prime is 100220021977. The next prime is 100220022017.

100220022001 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100220022001 - 25 = 100220021969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100220022061) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 993700 + ... + 1089898.

It is an arithmetic number, because the mean of its divisors is an integer number (13666653000).

Almost surely, 2100220022001 is an apocalyptic number.

100220022001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100220022001 is a deficient number, since it is larger than the sum of its proper divisors (9113201999).

100220022001 is an equidigital number, since it uses as much as digits as its factorization.

100220022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190919.

The product of its (nonzero) digits is 16, while the sum is 10.

It can be divided in two parts, 10022002 and 2001, that added together give a triangular number (10024003 = T4477).

The spelling of 100220022001 in words is "one hundred billion, two hundred twenty million, twenty-two thousand, one".

Divisors: 1 11 94709 96199 1041799 1058189 9110911091 100220022001