Search a number
-
+
20210102222200 = 23521122081401311
BaseRepresentation
bin1001001100001100001111…
…11101101011110101111000
32122120001210202212020202221
410212012013331223311320
510122110242132102300
6110552220501533424
74154063113316512
oct446060775536570
978501722766687
1020210102222200
116492068912300
122324a2a414274
13b37a5c531487
144dc261cb0bb2
15250aa015b31a
hex126187f6bd78

20210102222200 has 144 divisors (see below), whose sum is σ = 51673450812480. Its totient is φ = 7345578240000.

The previous prime is 20210102222173. The next prime is 20210102222203. The reversal of 20210102222200 is 222220101202.

It is a super-3 number, since 3×202101022222003 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20210102222203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50159545 + ... + 50560855.

It is an arithmetic number, because the mean of its divisors is an integer number (358843408420).

Almost surely, 220210102222200 is an apocalyptic number.

20210102222200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20210102222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25836725406240).

20210102222200 is an abundant number, since it is smaller than the sum of its proper divisors (31463348590280).

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

20210102222200 is a wasteful number, since it uses less digits than its factorization.

20210102222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403430 (or 403410 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20210102222200 its reverse (222220101202), we get a palindrome (20432322323402).

The spelling of 20210102222200 in words is "twenty trillion, two hundred ten billion, one hundred two million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2081 2200 2420 3025 4162 4840 6050 8324 10405 12100 16648 20810 22891 24200 41620 45782 52025 83240 91564 104050 114455 183128 208100 228910 251801 401311 416200 457820 503602 572275 802622 915640 1007204 1144550 1259005 1605244 2006555 2014408 2289100 2518010 3210488 4013110 4414421 4578200 5036020 6295025 8026220 8828842 10032775 10072040 12590050 16052440 17657684 20065550 22072105 25180100 35315368 40131100 44144210 48558631 50360200 80262200 88288420 97117262 110360525 176576840 194234524 220721050 242793155 388469048 441442100 485586310 835128191 882884200 971172620 1213965775 1670256382 1942345240 2427931550 3340512764 4175640955 4855863100 6681025528 8351281910 9186410101 9711726200 16702563820 18372820202 20878204775 33405127640 36745640404 41756409550 45932050505 73491280808 83512819100 91864101010 101050511111 167025638200 183728202020 202101022222 229660252525 367456404040 404202044444 459320505050 505252555555 808404088888 918641010100 1010505111110 1837282020200 2021010222220 2526262777775 4042020444440 5052525555550 10105051111100 20210102222200