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21221203432 = 23111389257811
BaseRepresentation
bin10011110000111000…
…011101110111101000
32000202221102211102111
4103300320131313220
5321430112002212
613425432012104
71350611152522
oct236070356750
960687384374
1021221203432
118aaa8a8260
124142b31034
1320026b4210
141054574a12
15843093ea7
hex4f0e1dde8

21221203432 has 128 divisors (see below), whose sum is σ = 47513692800. Its totient is φ = 8758886400.

The previous prime is 21221203429. The next prime is 21221203453. The reversal of 21221203432 is 23430212212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26166307 + ... + 26167117.

It is an arithmetic number, because the mean of its divisors is an integer number (371200725).

Almost surely, 221221203432 is an apocalyptic number.

21221203432 is a gapful number since it is divisible by the number (22) 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 21221203432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23756846400).

21221203432 is an abundant number, since it is smaller than the sum of its proper divisors (26292489368).

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

21221203432 is a wasteful number, since it uses less digits than its factorization.

21221203432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1183 counting only the distinct ones).

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

Adding to 21221203432 its reverse (23430212212), we get a palindrome (44651415644).

The spelling of 21221203432 in words is "twenty-one billion, two hundred twenty-one million, two hundred three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 89 104 143 178 257 286 356 514 572 712 811 979 1028 1144 1157 1622 1958 2056 2314 2827 3244 3341 3916 4628 5654 6488 6682 7832 8921 9256 10543 11308 12727 13364 17842 21086 22616 22873 25454 26728 35684 36751 42172 45746 50908 71368 72179 73502 84344 91492 101816 115973 144358 147004 182984 208427 231946 251603 288716 294008 297349 416854 463892 503206 577432 594698 793969 833708 927784 938327 1006412 1189396 1587938 1667416 1876654 2012824 2292697 2378792 2709551 3175876 3270839 3753308 4585394 5419102 6351752 6541678 7506616 9170788 10321597 10838204 13083356 18341576 18550003 20643194 21676408 26166712 29805061 37100006 41286388 59610122 74200012 82572776 119220244 148400024 204050033 238440488 241150039 408100066 482300078 816200132 964600156 1632400264 1929200312 2652650429 5305300858 10610601716 21221203432