Search a number
-
+
21220221211300 = 22521511741980677
BaseRepresentation
bin1001101001100101101111…
…01111110101001010100100
32210010122002200221120202001
410310302313233311022210
510240133003112230200
6113044233545255044
74320052602131506
oct464626757651244
983118080846661
1021220221211300
116841499733501
122468755194484
13bac09b049217
145350c81b1d76
1526bebee3676a
hex134cb7bf52a4

21220221211300 has 72 divisors (see below), whose sum is σ = 46356068507840. Its totient is φ = 8431287408000.

The previous prime is 21220221211279. The next prime is 21220221211307. The reversal of 21220221211300 is 311212202212.

It is not an unprimeable number, because it can be changed into a prime (21220221211307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262986562 + ... + 263067238.

Almost surely, 221220221211300 is an apocalyptic number.

21220221211300 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 21220221211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23178034253920).

21220221211300 is an abundant number, since it is smaller than the sum of its proper divisors (25135847296540).

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

21220221211300 is a wasteful number, since it uses less digits than its factorization.

21220221211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98261 (or 98254 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 21220221211300 its reverse (311212202212), we get a palindrome (21531433413512).

The spelling of 21220221211300 in words is "twenty-one trillion, two hundred twenty billion, two hundred twenty-one million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 151 302 604 755 1510 3020 3775 7550 15100 17419 34838 69676 80677 87095 161354 174190 322708 348380 403385 435475 806770 870950 1613540 1741900 2016925 2630269 4033850 5260538 8067700 10521076 12182227 13151345 24364454 26302690 48728908 52605380 60911135 65756725 121822270 131513450 243644540 263026900 304555675 609111350 1218222700 1405312663 2810625326 5621250652 7026563315 14053126630 28106253260 35132816575 70265633150 140531266300 212202212113 424404424226 848808848452 1061011060565 2122022121130 4244044242260 5305055302825 10610110605650 21220221211300