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21330203202 = 236711189997
BaseRepresentation
bin10011110111011000…
…010001001001000010
32001001112112121000000
4103313120101021002
5322141013000302
613444324140430
71353403510230
oct236730211102
961045477000
1021330203202
119056386410
124173537716
13201c159219
141064c29950
1584c92531c
hex4f7611242

21330203202 has 112 divisors (see below), whose sum is σ = 59808330432. Its totient is φ = 5540283360.

The previous prime is 21330203177. The next prime is 21330203203. The reversal of 21330203202 is 20230203312.

It is a happy number.

It is a super-2 number, since 2×213302032022 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21330203203) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17268 + ... + 207264.

Almost surely, 221330203202 is an apocalyptic number.

21330203202 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 21330203202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29904165216).

21330203202 is an abundant number, since it is smaller than the sum of its proper divisors (38478127230).

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

21330203202 is a wasteful number, since it uses less digits than its factorization.

21330203202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190035 (or 190020 counting only the distinct ones).

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

Adding to 21330203202 its reverse (20230203312), we get a palindrome (41560406514).

The spelling of 21330203202 in words is "twenty-one billion, three hundred thirty million, two hundred three thousand, two hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 243 297 378 462 486 567 594 693 729 891 1134 1386 1458 1701 1782 2079 2673 3402 4158 5103 5346 6237 8019 10206 12474 16038 18711 37422 56133 112266 189997 379994 569991 1139982 1329979 1709973 2089967 2659958 3419946 3989937 4179934 5129919 6269901 7979874 10259838 11969811 12539802 14629769 15389757 18809703 23939622 29259538 30779514 35909433 37619406 43889307 46169271 56429109 71818866 87778614 92338542 107728299 112858218 131667921 138507813 169287327 215456598 263335842 277015626 323184897 338574654 395003763 507861981 646369794 790007526 969554691 1015723962 1185011289 1523585943 1939109382 2370022578 3047171886 3555033867 7110067734 10665101601 21330203202