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21213203100330 = 23517521682311701
BaseRepresentation
bin1001101001011000101010…
…11011110111001010101010
32210002221222121010121101010
410310230111123313022222
510240024114443202310
6113041113323004350
74316413643151543
oct464542533671252
983087877117333
1021213203100330
11683951813989a
1224673169696b6
13bab520071937
14534a2009d4ca
1526bc0dc41320
hex134b156f72aa

21213203100330 has 128 divisors (see below), whose sum is σ = 54022492325376. Its totient is φ = 5312646144000.

The previous prime is 21213203100311. The next prime is 21213203100361. The reversal of 21213203100330 is 3300130231212.

It is a super-2 number, since 2×212132031003302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21213203100297 and 21213203100306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1812933480 + ... + 1812945180.

It is an arithmetic number, because the mean of its divisors is an integer number (422050721292).

Almost surely, 221213203100330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21213203100330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27011246162688).

21213203100330 is an abundant number, since it is smaller than the sum of its proper divisors (32809289225046).

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

21213203100330 is a wasteful number, since it uses less digits than its factorization.

21213203100330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19072.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 21213203100330 its reverse (3300130231212), we get a palindrome (24513333331542).

The spelling of 21213203100330 in words is "twenty-one trillion, two hundred thirteen billion, two hundred three million, one hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 521 1042 1563 2605 3126 5210 6823 7815 8857 11701 13646 15630 17714 20469 23402 26571 34115 35103 40938 44285 53142 58505 68230 70206 88570 102345 115991 117010 132855 175515 198917 204690 231982 265710 347973 351030 397834 579955 596751 695946 994585 1159910 1193502 1739865 1989170 2983755 3479730 3554783 5967510 6096221 7109566 10664349 12192442 17773915 18288663 21328698 30481105 35547830 36577326 53321745 60431311 60962210 79835923 91443315 103635757 106643490 120862622 159671846 181293933 182886630 207271514 239507769 302156555 310907271 362587866 399179615 479015538 518178785 604313110 621814542 798359230 906469665 1036357570 1197538845 1357210691 1554536355 1812939330 2395077690 2714421382 3109072710 4071632073 6786053455 8143264146 13572106910 20358160365 40716320730 41594515883 83189031766 124783547649 207972579415 249567095298 415945158830 623917738245 707106770011 1247835476490 1414213540022 2121320310033 3535533850055 4242640620066 7071067700110 10606601550165 21213203100330