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210203330022 = 232721771197453
BaseRepresentation
bin1100001111000100011…
…0000100010111100110
3202002120102122112222100
43003301012010113212
511420444023030042
6240322134512530
721121014552600
oct3036106042746
9662512575870
10210203330022
1181168333054
12348a4805746
1316a8c18b56a
14a261252170
1557040e824c
hex30f11845e6

210203330022 has 144 divisors (see below), whose sum is σ = 568866553632. Its totient is φ = 55728852480.

The previous prime is 210203330017. The next prime is 210203330023. The reversal of 210203330022 is 220033302012.

It is a happy number.

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 = 210203329977 and 210203330004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210203330023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 965848 + ... + 1163300.

It is an arithmetic number, because the mean of its divisors is an integer number (3950462178).

Almost surely, 2210203330022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210203330022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284433276816).

210203330022 is an abundant number, since it is smaller than the sum of its proper divisors (358663223610).

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

210203330022 is a wasteful number, since it uses less digits than its factorization.

210203330022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197563 (or 197553 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 210203330022 its reverse (220033302012), we get a palindrome (430236632034).

It can be divided in two parts, 210203 and 330022, that added together give a square (540225 = 7352).

The spelling of 210203330022 in words is "two hundred ten billion, two hundred three million, three hundred thirty thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 71 98 102 119 126 142 147 153 213 238 294 306 357 426 441 497 639 714 833 882 994 1071 1207 1278 1491 1666 2142 2414 2499 2982 3479 3621 4473 4998 6958 7242 7497 8449 8946 10437 10863 14994 16898 20874 21726 25347 31311 50694 59143 62622 76041 118286 152082 177429 197453 354858 394906 532287 592359 1064574 1184718 1382171 1777077 2764342 3356701 3554154 4146513 6713402 8293026 9675197 10070103 12439539 14019163 19350394 20140206 23496907 24879078 28038326 29025591 30210309 42057489 46993814 58051182 60420618 70490721 84114978 87076773 98134141 126172467 140981442 164478349 174153546 196268282 211472163 238325771 252344934 294402423 328956698 422944326 476651542 493435047 588804846 686938987 714977313 883207269 986870094 1373877974 1429954626 1480305141 1668280397 1766414538 2060816961 2144931939 2960610282 3336560794 4121633922 4289863878 5004841191 6182450883 10009682382 11677962779 12364901766 15014523573 23355925558 30029047146 35033888337 70067776674 105101665011 210203330022