Search a number
-
+
202122022111100 = 225271353419079457
BaseRepresentation
bin101101111101010000110011…
…010101000100011101111100
3222111122200021020121101222122
4231331100303111010131330
5202443031400130023400
61553513324115502112
760400556062540610
oct5575206325043574
9874580236541878
10202122022111100
1159447517198253
121a8047282b7938
1388a2042926c50
1437caa881cd340
1518579ce801685
hexb7d43354477c

202122022111100 has 144 divisors (see below), whose sum is σ = 550006585950528. Its totient is φ = 62761339330560.

The previous prime is 202122022111019. The next prime is 202122022111103. The reversal of 202122022111100 is 1111220221202.

It is a super-4 number, since 4×2021220221111004 (a number of 58 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202122022111103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209057429 + ... + 210022028.

It is an arithmetic number, because the mean of its divisors is an integer number (3819490180212).

Almost surely, 2202122022111100 is an apocalyptic number.

202122022111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122022111100 is an abundant number, since it is smaller than the sum of its proper divisors (347884563839428).

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

202122022111100 is a wasteful number, since it uses less digits than its factorization.

202122022111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419079544 (or 419079537 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 202122022111100 its reverse (1111220221202), we get a palindrome (203233242332302).

The spelling of 202122022111100 in words is "two hundred two trillion, one hundred twenty-two billion, twenty-two million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 53 65 70 91 100 106 130 140 175 182 212 260 265 325 350 364 371 455 530 650 689 700 742 910 1060 1300 1325 1378 1484 1820 1855 2275 2650 2756 3445 3710 4550 4823 5300 6890 7420 9100 9275 9646 13780 17225 18550 19292 24115 34450 37100 48230 68900 96460 120575 241150 482300 419079457 838158914 1676317828 2095397285 2933556199 4190794570 5448032941 5867112398 8381589140 10476986425 10896065882 11734224796 14667780995 20953972850 21792131764 22211211221 27240164705 29335561990 38136230587 41907945700 44422422442 54480329410 58671123980 73338904975 76272461174 88844844884 108960658820 111056056105 136200823525 146677809950 152544922348 155478478547 190681152935 222112112210 272401647050 288745745873 293355619900 310956957094 381362305870 444224224420 544803294100 555280280525 577491491746 621913914188 762724611740 777392392735 953405764675 1110560561050 1154982983492 1443728729365 1554784785470 1906811529350 2021220221111 2221121122100 2887457458730 3109569570940 3813623058700 3886961963675 4042440442222 5774914917460 7218643646825 7773923927350 8084880884444 10106101105555 14437287293650 15547847854700 20212202211110 28874574587300 40424404422220 50530505527775 101061011055550 202122022111100