Search a number
-
+
221201120100 = 223521017300367
BaseRepresentation
bin1100111000000010011…
…1010011101101100100
3210010221212221011202210
43032000213103231210
512111004441320400
6245341323403420
721660366332532
oct3160047235544
9703855834683
10221201120100
11858a12a1564
1236a53983570
1317b227c105c
14a9c5b09152
155b4989c950
hex33809d3b64

221201120100 has 72 divisors (see below), whose sum is σ = 646345381248. Its totient is φ = 58402928000.

The previous prime is 221201120089. The next prime is 221201120159. The reversal of 221201120100 is 1021102122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3619884 + ... + 3680483.

It is an arithmetic number, because the mean of its divisors is an integer number (8977019184).

Almost surely, 2221201120100 is an apocalyptic number.

221201120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221201120100 is an abundant number, since it is smaller than the sum of its proper divisors (425144261148).

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

221201120100 is a wasteful number, since it uses less digits than its factorization.

221201120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7300485 (or 7300478 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221201120100 its reverse (1021102122), we get a palindrome (222222222222).

The spelling of 221201120100 in words is "two hundred twenty-one billion, two hundred one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 5050 6060 7575 10100 15150 30300 7300367 14600734 21901101 29201468 36501835 43802202 73003670 87604404 109505505 146007340 182509175 219011010 365018350 438022020 547527525 730036700 737337067 1095055050 1474674134 2190110100 2212011201 2949348268 3686685335 4424022402 7373370670 8848044804 11060056005 14746741340 18433426675 22120112010 36866853350 44240224020 55300280025 73733706700 110600560050 221201120100