Search a number
-
+
221000122120 = 23534732294931
BaseRepresentation
bin1100110111010010100…
…0100011111100001000
3210010102212201102101011
43031310220203330020
512110102012401440
6245305343333304
721652406020561
oct3156450437410
9703385642334
10221000122120
11857a8897828
12369b85b1234
1317abcc7773b
14a9a7147168
155b36de79ea
hex3374a23f08

221000122120 has 64 divisors (see below), whose sum is σ = 498938875200. Its totient is φ = 88100125440.

The previous prime is 221000122117. The next prime is 221000122127. The reversal of 221000122120 is 21221000122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 221000122120.

It is not an unprimeable number, because it can be changed into a prime (221000122127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44816055 + ... + 44820985.

It is an arithmetic number, because the mean of its divisors is an integer number (7795919925).

Almost surely, 2221000122120 is an apocalyptic number.

221000122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221000122120 is an abundant number, since it is smaller than the sum of its proper divisors (277938753080).

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

221000122120 is a wasteful number, since it uses less digits than its factorization.

221000122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8518 (or 8514 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 221000122120 its reverse (21221000122), we get a palindrome (242221122242).

The spelling of 221000122120 in words is "two hundred twenty-one billion, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 347 694 1388 1735 2776 3229 3470 4931 6458 6940 9862 12916 13880 16145 19724 24655 25832 32290 39448 49310 64580 98620 129160 197240 1120463 1711057 2240926 3422114 4481852 5602315 6844228 8555285 8963704 11204630 13688456 15922199 17110570 22409260 31844398 34221140 44818520 63688796 68442280 79610995 127377592 159221990 318443980 636887960 5525003053 11050006106 22100012212 27625015265 44200024424 55250030530 110500061060 221000122120