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100222102031 = 239967437191
BaseRepresentation
bin101110101010110110…
…0111110101000001111
3100120200122120021221212
41131111230332220033
53120223324231111
6114012535245035
710145411545202
oct1352554765017
9316618507855
10100222102031
113955a8446a7
121751021977b
1395b2834b6c
144bca757939
1529189ac98b
hex1755b3ea0f

100222102031 has 8 divisors (see below), whose sum is σ = 104590316544. Its totient is φ = 95854781880.

The previous prime is 100222102007. The next prime is 100222102061. The reversal of 100222102031 is 130201222001.

It is a happy number.

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 100222102031 - 226 = 100154993167 is a prime.

It is a super-2 number, since 2×1002221020312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100222101997 and 100222102015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222102061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10646 + ... + 447836.

It is an arithmetic number, because the mean of its divisors is an integer number (13073789568).

Almost surely, 2100222102031 is an apocalyptic number.

100222102031 is a deficient number, since it is larger than the sum of its proper divisors (4368214513).

100222102031 is an equidigital number, since it uses as much as digits as its factorization.

100222102031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447181.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100222102031 its reverse (130201222001), we get a palindrome (230423324032).

The spelling of 100222102031 in words is "one hundred billion, two hundred twenty-two million, one hundred two thousand, thirty-one".

Divisors: 1 23 9967 229241 437191 10055393 4357482697 100222102031