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221000201121020 = 2252913071867156151
BaseRepresentation
bin110010001111111110011110…
…011110111010110011111100
31001222111102010222221222212212
4302033332132132322303330
5212431331402441333040
62102010031340515552
764356511001522216
oct6217763636726374
91058442128858785
10221000201121020
11644657280844a2
12209533a024bbb8
1396412ca3c8a69
143c80676cbd5b6
151a83ac8167d65
hexc8ff9e7bacfc

221000201121020 has 96 divisors (see below), whose sum is σ = 480731645882880. Its totient is φ = 85240271289600.

The previous prime is 221000201120929. The next prime is 221000201121083. The reversal of 221000201121020 is 20121102000122.

It is a junction number, because it is equal to n+sod(n) for n = 221000201120986 and 221000201121004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1415219945 + ... + 1415376095.

It is an arithmetic number, because the mean of its divisors is an integer number (5007621311280).

Almost surely, 2221000201121020 is an apocalyptic number.

221000201121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221000201121020 is an abundant number, since it is smaller than the sum of its proper divisors (259731444761860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221000201121020 is a wasteful number, since it uses less digits than its factorization.

221000201121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159363 (or 159361 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221000201121020 its reverse (20121102000122), we get a palindrome (241121303121142).

The spelling of 221000201121020 in words is "two hundred twenty-one trillion, two hundred one million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1307 1867 2614 3734 5228 6535 7468 9335 13070 18670 26140 37340 37903 54143 75806 108286 151612 156151 189515 216572 270715 312302 379030 541430 624604 758060 780755 1082860 1561510 2440169 3123020 4528379 4880338 9056758 9760676 12200845 18113516 22641895 24401690 45283790 48803380 70764901 90567580 141529802 204089357 283059604 291533917 353824505 408178714 583067834 707649010 816357428 1020446785 1166135668 1415298020 1457669585 2040893570 2915339170 4081787140 5830678340 5918591353 8454483593 11837182706 16908967186 23674365412 29592956765 33817934372 42272417965 59185913530 84544835930 118371827060 169089671860 381034829519 762069659038 1524139318076 1905174147595 3810348295190 7620696590380 11050010056051 22100020112102 44200040224204 55250050280255 110500100560510 221000201121020