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21303444100 = 225219233531381
BaseRepresentation
bin10011110101110010…
…001100001010000100
32000222200012002102011
4103311302030022010
5322112140202400
613441530424004
71352630200321
oct236562141204
960880162364
1021303444100
119042269954
124166592004
13201674a433
141061461b48
1584a3db8ba
hex4f5c8c284

21303444100 has 144 divisors (see below), whose sum is σ = 50957988480. Its totient is φ = 7694438400.

The previous prime is 21303444091. The next prime is 21303444101. The reversal of 21303444100 is 144430312.

It is not an unprimeable number, because it can be changed into a prime (21303444101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15425410 + ... + 15426790.

It is an arithmetic number, because the mean of its divisors is an integer number (353874920).

Almost surely, 221303444100 is an apocalyptic number.

21303444100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21303444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25478994240).

21303444100 is an abundant number, since it is smaller than the sum of its proper divisors (29654544380).

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

21303444100 is a wasteful number, since it uses less digits than its factorization.

21303444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 21303444100 its reverse (144430312), we get a palindrome (21447874412).

The spelling of 21303444100 in words is "twenty-one billion, three hundred three million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 76 92 95 100 115 190 230 353 380 437 460 475 575 706 874 950 1150 1381 1412 1748 1765 1900 2185 2300 2762 3530 4370 5524 6707 6905 7060 8119 8740 8825 10925 13414 13810 16238 17650 21850 26239 26828 27620 31763 32476 33535 34525 35300 40595 43700 52478 63526 67070 69050 81190 104956 127052 131195 134140 138100 154261 158815 162380 167675 202975 262390 308522 317630 335350 405950 487493 524780 603497 617044 635260 655975 670700 771305 794075 811900 974986 1206994 1311950 1542610 1588150 1949972 2413988 2437465 2623900 3017485 3085220 3176300 3856525 4874930 6034970 7713050 9262367 9749860 11212339 12069940 12187325 15087425 15426100 18524734 22424678 24374650 30174850 37049468 44849356 46311835 48749300 56061695 60349700 92623670 112123390 185247340 213034441 224246780 231559175 280308475 426068882 463118350 560616950 852137764 926236700 1065172205 1121233900 2130344410 4260688820 5325861025 10651722050 21303444100