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1002021220221 = 3719181100913751
BaseRepresentation
bin11101001010011010001…
…11100110111101111101
310112210101120201001101020
432211031013212331331
5112404114413021341
62044153332134353
7132252006561240
oct16451507467575
93483346631336
101002021220221
11356a5594662a
12142246a673b9
137364ac62838
14366d8a67257
151b0e8e1b566
hexe94d1e6f7d

1002021220221 has 64 divisors (see below), whose sum is σ = 1617851289600. Its totient is φ = 538876800000.

The previous prime is 1002021220181. The next prime is 1002021220261. The reversal of 1002021220221 is 1220221202001.

It is an interprime number because it is at equal distance from previous prime (1002021220181) and next prime (1002021220261).

It is not a de Polignac number, because 1002021220221 - 26 = 1002021220157 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1002021220221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002021220261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72862096 + ... + 72875846.

It is an arithmetic number, because the mean of its divisors is an integer number (25278926400).

Almost surely, 21002021220221 is an apocalyptic number.

It is an amenable number.

1002021220221 is a deficient number, since it is larger than the sum of its proper divisors (615830069379).

1002021220221 is a wasteful number, since it uses less digits than its factorization.

1002021220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14970.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1002021220221 its reverse (1220221202001), we get a palindrome (2222242422222).

The spelling of 1002021220221 in words is "one trillion, two billion, twenty-one million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 7 19 21 57 133 181 399 543 1009 1267 3027 3439 3801 7063 10317 13751 19171 21189 24073 41253 57513 72219 96257 134197 182629 261269 288771 402591 547887 783807 1278403 1828883 2488931 3469951 3835209 5486649 7466793 10409853 13874759 17422517 24289657 41624277 47289689 52267551 72868971 97123313 141869067 263620421 291369939 331027823 790861263 993083469 1845342947 2511331379 5536028841 7533994137 17579319653 47715296201 52737958959 143145888603 334007073407 1002021220221