Search a number
-
+
221022001111002 = 237213439131728669
BaseRepresentation
bin110010010000010010110001…
…110111010001111111011010
31001222120111102021111020012020
4302100102301313101333122
5212432211024241023002
62102024034450155310
764361212141422300
oct6220226167217732
91058514367436166
10221022001111002
11644739a4660643
1220957664b82b36
13964339298c010
143c81744278270
151a84451e392bc
hexc904b1dd1fda

221022001111002 has 96 divisors (see below), whose sum is σ = 555030847324800. Its totient is φ = 58158733836672.

The previous prime is 221022001110961. The next prime is 221022001111049. The reversal of 221022001111002 is 200111100220122.

It is a super-2 number, since 2×2210220011110022 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64186477 + ... + 67542192.

It is an arithmetic number, because the mean of its divisors is an integer number (5781571326300).

Almost surely, 2221022001111002 is an apocalyptic number.

221022001111002 is an abundant number, since it is smaller than the sum of its proper divisors (334008846213798).

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

221022001111002 is a wasteful number, since it uses less digits than its factorization.

221022001111002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131729140 (or 131729133 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221022001111002 its reverse (200111100220122), we get a palindrome (421133101331124).

The spelling of 221022001111002 in words is "two hundred twenty-one trillion, twenty-two billion, one million, one hundred eleven thousand, two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 439 546 637 878 1274 1317 1911 2634 3073 3822 5707 6146 9219 11414 17121 18438 21511 34242 39949 43022 64533 79898 119847 129066 239694 279643 559286 838929 1677858 131728669 263457338 395186007 790372014 922100683 1712472697 1844201366 2766302049 3424945394 5137418091 5532604098 6454704781 10274836182 11987308879 12909409562 19364114343 23974617758 35961926637 38728228686 57828885691 71923853274 83911162153 115657771382 167822324306 173486657073 251733486459 346973314146 404802199837 503466972918 751775513983 809604399674 1214406599511 1503551027966 2255326541949 2428813199022 2833615398859 4510653083898 5262428597881 5667230797718 8500846196577 10524857195762 15787285793643 17001692393154 31574571587286 36837000185167 73674000370334 110511000555501 221022001111002