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21303021122130 = 23511271496947939
BaseRepresentation
bin1001101011111111111110…
…00000011011001001010010
32210102112211011120212100010
410311333333000123021102
510243012041401402010
6113150250042535350
74326043502560446
oct465777700331122
983375734525303
1021303021122130
116873619066a80
122480802807556
13bb6b352797b7
14539100b4a826
1526e219123620
hex135fff01b252

21303021122130 has 128 divisors (see below), whose sum is σ = 55993429094400. Its totient is φ = 5144169254400.

The previous prime is 21303021122083. The next prime is 21303021122233. The reversal of 21303021122130 is 3122112030312.

It is a junction number, because it is equal to n+sod(n) for n = 21303021122097 and 21303021122106.

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, 444353701 + ... + 444401639.

It is an arithmetic number, because the mean of its divisors is an integer number (437448664800).

Almost surely, 221303021122130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21303021122130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27996714547200).

21303021122130 is an abundant number, since it is smaller than the sum of its proper divisors (34690407972270).

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

21303021122130 is a wasteful number, since it uses less digits than its factorization.

21303021122130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53200.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 21303021122130 its reverse (3122112030312), we get a palindrome (24425133152442).

The spelling of 21303021122130 in words is "twenty-one trillion, three hundred three billion, twenty-one million, one hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 271 330 542 813 1355 1626 2710 2981 4065 4969 5962 8130 8943 9938 14905 14907 17886 24845 29810 29814 44715 47939 49690 54659 74535 89430 95878 109318 143817 149070 163977 239695 273295 287634 327954 479390 527329 546590 719085 819885 1054658 1346599 1438170 1581987 1639770 2636645 2693198 3163974 4039797 5273290 6732995 7909935 8079594 12991469 13465990 14812589 15819870 20198985 25982938 29625178 38974407 40397970 44437767 64957345 74062945 77948814 88875534 129914690 142906159 148125890 194872035 222188835 238208891 285812318 389744070 428718477 444377670 476417782 714530795 714626673 857436954 1191044455 1429061590 1429253346 2143592385 2382088910 2620297801 3573133365 4287184770 5240595602 7146266730 7860893403 13101489005 15721786806 26202978010 39304467015 64554609461 78608934030 129109218922 193663828383 322773047305 387327656766 645546094610 710100704071 968319141915 1420201408142 1936638283830 2130302112213 3550503520355 4260604224426 7101007040710 10651510561065 21303021122130