Search a number
-
+
2022210002100 = 2235253601211619
BaseRepresentation
bin11101011011010101000…
…110111101110010110100
321011022200021212212011110
4131123111012331302310
5231112441230031400
64144553534235020
7266046151256541
oct35332506756264
97138607785143
102022210002100
1170a683911122
12287b02055a70
13118902a63152
146dc38497bc8
1537907c8de50
hex1d6d51bdcb4

2022210002100 has 144 divisors (see below), whose sum is σ = 5971269689280. Its totient is φ = 528198528000.

The previous prime is 2022210002083. The next prime is 2022210002123. The reversal of 2022210002100 is 12000122202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 9450091 + ... + 9661709.

It is an arithmetic number, because the mean of its divisors is an integer number (41467150620).

Almost surely, 22022210002100 is an apocalyptic number.

2022210002100 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 2022210002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985634844640).

2022210002100 is an abundant number, since it is smaller than the sum of its proper divisors (3949059687180).

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

2022210002100 is a wasteful number, since it uses less digits than its factorization.

2022210002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212290 (or 212283 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2022210002100 its reverse (12000122202), we get a palindrome (2034210124302).

The spelling of 2022210002100 in words is "two trillion, twenty-two billion, two hundred ten million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 601 636 795 1060 1202 1325 1590 1803 2404 2650 3005 3180 3606 3975 5300 6010 7212 7950 9015 12020 15025 15900 18030 30050 31853 36060 45075 60100 63706 90150 95559 127412 159265 180300 191118 211619 318530 382236 423238 477795 634857 637060 796325 846476 955590 1058095 1269714 1592650 1911180 2116190 2388975 2539428 3174285 3185300 4232380 4777950 5290475 6348570 9555900 10580950 11215807 12697140 15871425 21161900 22431614 31742850 33647421 44863228 56079035 63485700 67294842 112158070 127183019 134589684 168237105 224316140 254366038 280395175 336474210 381549057 508732076 560790350 635915095 672948420 763098114 841185525 1121580700 1271830190 1526196228 1682371050 1907745285 2543660380 3179575475 3364742100 3815490570 6359150950 6740700007 7630981140 9538726425 12718301900 13481400014 19077452850 20222100021 26962800028 33703500035 38154905700 40444200042 67407000070 80888400084 101110500105 134814000140 168517500175 202221000210 337035000350 404442000420 505552500525 674070000700 1011105001050 2022210002100