Search a number
-
+
221023233311100 = 2235211371810182091
BaseRepresentation
bin110010010000010011111011…
…010011110000000101111100
31001222120121121011002110221220
4302100103323103300011330
5212432221040211423400
62102024401024353340
764361254523101353
oct6220237323600574
91058517534073856
10221023233311100
116447447715a830
1220957949775850
13964352b0489bc
143c8181db8a99a
151a844c51d57a0
hexc904fb4f017c

221023233311100 has 144 divisors (see below), whose sum is σ = 716484553470336. Its totient is φ = 52133244192000.

The previous prime is 221023233311093. The next prime is 221023233311119. The reversal of 221023233311100 is 1113332320122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 904968946 + ... + 905213145.

Almost surely, 2221023233311100 is an apocalyptic number.

221023233311100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221023233311100 is an abundant number, since it is smaller than the sum of its proper divisors (495461320159236).

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

221023233311100 is a wasteful number, since it uses less digits than its factorization.

221023233311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810182156 (or 1810182149 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 221023233311100 its reverse (1113332320122), we get a palindrome (222136565631222).

The spelling of 221023233311100 in words is "two hundred twenty-one trillion, twenty-three billion, two hundred thirty-three million, three hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1850 2035 2220 2442 2775 3300 3700 4070 4884 5550 6105 8140 10175 11100 12210 20350 24420 30525 40700 61050 122100 1810182091 3620364182 5430546273 7240728364 9050910455 10861092546 18101820910 19912003001 21722185092 27152731365 36203641820 39824006002 45254552275 54305462730 59736009003 66976737367 79648012004 90509104550 99560015005 108610925460 119472018006 133953474734 135763656825 181018209100 199120030010 200930212101 238944036012 267906949468 271527313650 298680045015 334883686835 398240060020 401860424202 497800075025 543054627300 597360090030 669767373670 736744111037 803720848404 995600150050 1004651060505 1194720180060 1339534747340 1473488222074 1493400225075 1674418434175 1991200300100 2009302121010 2210232333111 2946976444148 2986800450150 3348836868350 3683720555185 4018604242020 4420464666222 5023255302525 5973600900300 6697673736700 7367441110370 8840929332444 10046510605050 11051161665555 14734882220740 18418602775925 20093021210100 22102323331110 36837205551850 44204646662220 55255808327775 73674411103700 110511616655550 221023233311100