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21021532142320 = 245377889390019
BaseRepresentation
bin1001100011110011101001…
…11101001011101011110000
32202102122020201102002112101
410301321310331023223300
510223404044212023240
6112413054125110144
74266520106663023
oct461716475135360
982378221362471
1021021532142320
1167751aa956176
1224361446b8354
13b964254c1598
1452963a2591ba
15266c41b1139a
hex131e74f4baf0

21021532142320 has 80 divisors (see below), whose sum is σ = 50197203735840. Its totient is φ = 8181158464512.

The previous prime is 21021532142291. The next prime is 21021532142321. The reversal of 21021532142320 is 2324123512012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×210215321423202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21021532142321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233478271 + ... + 233568289.

It is an arithmetic number, because the mean of its divisors is an integer number (627465046698).

Almost surely, 221021532142320 is an apocalyptic number.

21021532142320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21021532142320 is an abundant number, since it is smaller than the sum of its proper divisors (29175671593520).

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

21021532142320 is a wasteful number, since it uses less digits than its factorization.

21021532142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168962 (or 168956 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 21021532142320 its reverse (2324123512012), we get a palindrome (23345655654332).

The spelling of 21021532142320 in words is "twenty-one trillion, twenty-one billion, five hundred thirty-two million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 78893 90019 157786 180038 315572 360076 394465 450095 631144 720152 788930 900190 1262288 1440304 1577860 1800380 2919041 3155720 3330703 3600760 5838082 6311440 6661406 7201520 11676164 13322812 14595205 16653515 23352328 26645624 29190410 33307030 46704656 53291248 58380820 66614060 116761640 133228120 233523280 266456240 7101868967 14203737934 28407475868 35509344835 56814951736 71018689670 113629903472 142037379340 262769151779 284074758680 525538303558 568149517360 1051076607116 1313845758895 2102153214232 2627691517790 4204306428464 5255383035580 10510766071160 21021532142320