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101022000221 = 2919373179813
BaseRepresentation
bin101111000010101100…
…0010110010001011101
3100122202101201022222202
41132011120112101131
53123343113001341
6114224152021245
710204263555662
oct1360530262135
9318671638882
10101022000221
1139930315a8a
12176b4091825
1396ac4805bc
144c64a97a69
152963d1479b
hex178561645d

101022000221 has 8 divisors (see below), whose sum is σ = 104511493080. Its totient is φ = 97532905792.

The previous prime is 101022000203. The next prime is 101022000259. The reversal of 101022000221 is 122000220101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5918224900 + 95103775321 = 76930^2 + 308389^2 .

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

It is a de Polignac number, because none of the positive numbers 2k-101022000221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101028000221) 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, 471911 + ... + 651723.

It is an arithmetic number, because the mean of its divisors is an integer number (13063936635).

Almost surely, 2101022000221 is an apocalyptic number.

It is an amenable number.

101022000221 is a deficient number, since it is larger than the sum of its proper divisors (3489492859).

101022000221 is a wasteful number, since it uses less digits than its factorization.

101022000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199215.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101022000221 its reverse (122000220101), we get a palindrome (223022220322).

The spelling of 101022000221 in words is "one hundred one billion, twenty-two million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 29 19373 179813 561817 5214577 3483517249 101022000221