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100222012021 = 2913739763541
BaseRepresentation
bin101110101010110110…
…0101000101001110101
3100120200122101201111011
41131111230220221311
53120223313341041
6114012533312221
710145411021605
oct1352554505165
9316618351434
10100222012021
113955a79300a
1217510195671
1395b2802bc1
144bca732c05
152918990e81
hex1755b28a75

100222012021 has 16 divisors (see below), whose sum is σ = 104699424240. Its totient is φ = 95816286720.

The previous prime is 100222012019. The next prime is 100222012031. The reversal of 100222012021 is 120210222001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9660137796 + 90561874225 = 98286^2 + 300935^2 .

It is a cyclic number.

It is not a de Polignac number, because 100222012021 - 21 = 100222012019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100222011992 and 100222012010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222012001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1545511 + ... + 1609051.

It is an arithmetic number, because the mean of its divisors is an integer number (6543714015).

Almost surely, 2100222012021 is an apocalyptic number.

It is an amenable number.

100222012021 is a deficient number, since it is larger than the sum of its proper divisors (4477412219).

100222012021 is a wasteful number, since it uses less digits than its factorization.

100222012021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64104.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100222012021 its reverse (120210222001), we get a palindrome (220432234022).

The spelling of 100222012021 in words is "one hundred billion, two hundred twenty-two million, twelve thousand, twenty-one".

Divisors: 1 29 137 397 3973 11513 54389 63541 1577281 1842689 8705117 25225777 252448393 731547533 3455931449 100222012021