Search a number
-
+
10221021356420 = 2257210429613629
BaseRepresentation
bin1001010010111100010001…
…0110001110000110000100
31100012010020112220111012002
42110233010112032012010
52314430122431401140
633423250011444432
72103305303024600
oct224570426160604
940163215814162
1010221021356420
113290790104456
121190a9b456718
13591ab8629124
142749b3002500
1512ad13b32415
hex94bc458e184

10221021356420 has 36 divisors (see below), whose sum is σ = 24968495030220. Its totient is φ = 3504350179008.

The previous prime is 10221021356411. The next prime is 10221021356423. The reversal of 10221021356420 is 2465312012201.

It can be written as a sum of positive squares in 2 ways, for example, as 4063804428544 + 6157216927876 = 2015888^2 + 2481374^2 .

It is not an unprimeable number, because it can be changed into a prime (10221021356423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5214805835 + ... + 5214807794.

It is an arithmetic number, because the mean of its divisors is an integer number (693569306395).

Almost surely, 210221021356420 is an apocalyptic number.

10221021356420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221021356420 is an abundant number, since it is smaller than the sum of its proper divisors (14747473673800).

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

10221021356420 is a wasteful number, since it uses less digits than its factorization.

10221021356420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10429613652 (or 10429613643 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 10221021356420 its reverse (2465312012201), we get a palindrome (12686333368621).

The spelling of 10221021356420 in words is "ten trillion, two hundred twenty-one billion, twenty-one million, three hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 10429613629 20859227258 41718454516 52148068145 73007295403 104296136290 146014590806 208592272580 292029181612 365036477015 511051067821 730072954030 1022102135642 1460145908060 2044204271284 2555255339105 5110510678210 10221021356420