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2100202313022 = 232118921339109
BaseRepresentation
bin11110100011111101110…
…100000001010100111110
321102202222201011202111200
4132203331310001110332
5233402203243004042
64244453012200330
7304506654053322
oct36437564012476
97382881152450
102100202313022
1173a7664a9730
1229b0496090a6
13123081c5ab58
1473916735982
153996ed7bc4c
hex1e8fdd0153e

2100202313022 has 72 divisors (see below), whose sum is σ = 5020521578280. Its totient is φ = 629273631360.

The previous prime is 2100202312997. The next prime is 2100202313047. The reversal of 2100202313022 is 2203132020012.

It is an interprime number because it is at equal distance from previous prime (2100202312997) and next prime (2100202313047).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2100202312986 and 2100202313004.

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 35 ways as a sum of consecutive naturals, for example, 898804 + ... + 2237912.

It is an arithmetic number, because the mean of its divisors is an integer number (69729466365).

Almost surely, 22100202313022 is an apocalyptic number.

2100202313022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100202313022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510260789140).

2100202313022 is an abundant number, since it is smaller than the sum of its proper divisors (2920319265258).

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

2100202313022 is a wasteful number, since it uses less digits than its factorization.

2100202313022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339306 (or 1339214 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2100202313022 its reverse (2203132020012), we get a palindrome (4303334333034).

The spelling of 2100202313022 in words is "two trillion, one hundred billion, two hundred two million, three hundred thirteen thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 89 99 178 198 267 534 801 979 1602 1958 2937 5874 7921 8811 15842 17622 23763 47526 71289 87131 142578 174262 261393 522786 784179 1339109 1568358 2678218 4017327 8034654 12051981 14730199 24103962 29460398 44190597 88381194 119180701 132571791 238361402 265143582 357542103 715084206 1072626309 1310987711 2145252618 2621975422 3932963133 7865926266 10607082389 11798889399 21214164778 23597778798 31821247167 63642494334 95463741501 116677906279 190927483002 233355812558 350033718837 700067437674 1050101156511 2100202313022