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2002211112321 = 33753334359791
BaseRepresentation
bin11101001000101101000…
…101010000010110000001
321002102001112102222212000
4131020231011100112001
5230301012021043241
64131445244454213
7264440441435460
oct35105505202601
97072045388760
102002211112321
11702150a80242
1228406054a369
13116a66686964
146cc9c3c09d7
1537137191eb6
hex1d22d150581

2002211112321 has 64 divisors (see below), whose sum is σ = 3455040061440. Its totient is φ = 1122178898880.

The previous prime is 2002211112287. The next prime is 2002211112379. The reversal of 2002211112321 is 1232111122002.

2002211112321 is a `hidden beast` number, since 20 + 0 + 2 + 211 + 112 + 321 = 666.

It is not a de Polignac number, because 2002211112321 - 27 = 2002211112193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002211112294 and 2002211112303.

It is not an unprimeable number, because it can be changed into a prime (2002219112321) 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, 33456936 + ... + 33516726.

It is an arithmetic number, because the mean of its divisors is an integer number (53985000960).

Almost surely, 22002211112321 is an apocalyptic number.

2002211112321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2002211112321 is a deficient number, since it is larger than the sum of its proper divisors (1452828949119).

2002211112321 is a wasteful number, since it uses less digits than its factorization.

2002211112321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63203 (or 63197 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2002211112321 its reverse (1232111122002), we get a palindrome (3234322234323).

The spelling of 2002211112321 in words is "two trillion, two billion, two hundred eleven million, one hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 27 53 63 159 189 371 477 1113 1431 3339 3343 10017 10029 23401 30087 59791 70203 90261 177179 179373 210609 418537 531537 538119 631827 1240253 1255611 1594611 1614357 3168923 3720759 3766833 4783833 9506769 11162277 11300499 22182461 28520307 33486831 66547383 85560921 199642149 199881313 598926447 599643939 1399169191 1798931817 4197507573 5396795451 10593709589 12592522719 31781128767 37777568157 74155967123 95343386301 222467901369 286030158903 667403704107 2002211112321