Search a number
-
+
21231321121220 = 225721091271565023
BaseRepresentation
bin1001101001111010011010…
…10110101000000111000100
32210011200202021101102121212
410310331031112220013010
510240323221201334340
6113053311223030552
74320624633613100
oct464751526500704
983150667342555
1021231321121220
116846175301081
12246a93259b458
13bb0149885362
1453585c44c900
1526c41e65da65
hex134f4d5a81c4

21231321121220 has 144 divisors (see below), whose sum is σ = 52753077780480. Its totient is φ = 7155731310336.

The previous prime is 21231321121147. The next prime is 21231321121237. The reversal of 21231321121220 is 2212112313212.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12783629 + ... + 14348651.

It is an arithmetic number, because the mean of its divisors is an integer number (366340817920).

Almost surely, 221231321121220 is an apocalyptic number.

21231321121220 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 21231321121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26376538890240).

21231321121220 is an abundant number, since it is smaller than the sum of its proper divisors (31521756659260).

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

21231321121220 is a wasteful number, since it uses less digits than its factorization.

21231321121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565282 (or 1565273 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 21231321121220 its reverse (2212112313212), we get a palindrome (23443433434432).

The spelling of 21231321121220 in words is "twenty-one trillion, two hundred thirty-one billion, three hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 109 127 140 196 218 245 254 436 490 508 545 635 763 889 980 1090 1270 1526 1778 2180 2540 3052 3556 3815 4445 5341 6223 7630 8890 10682 12446 13843 15260 17780 21364 24892 26705 27686 31115 53410 55372 62230 69215 96901 106820 124460 138430 193802 276860 387604 484505 678307 969010 1356614 1565023 1938020 2713228 3130046 3391535 6260092 6783070 7825115 10955161 13566140 15650230 21910322 31300460 43820644 54775805 76686127 109551610 153372254 170587507 198757921 219103220 306744508 341175014 383430635 397515842 682350028 766861270 795031684 852937535 993789605 1194112549 1391305447 1533722540 1705875070 1987579210 2388225098 2782610894 3411750140 3975158420 4776450196 5565221788 5970562745 6956527235 8358787843 9739138129 11941125490 13913054470 16717575686 19478276258 21664613389 23882250980 27826108940 33435151372 38956552516 41793939215 43329226778 48695690645 83587878430 86658453556 97391381290 108323066945 151652293723 167175756860 194782762580 216646133890 303304587446 433292267780 606609174892 758261468615 1061566056061 1516522937230 2123132112122 3033045874460 4246264224244 5307830280305 10615660560610 21231321121220