Search a number
-
+
1221320003232 = 253737479102547
BaseRepresentation
bin10001110001011100010…
…110000100111010100000
311022202102220001111020210
4101301130112010322200
5130002230410100412
62333022222134120
7154144306511610
oct21613426047240
94282386044223
101221320003232
11430a6033607a
12178849721340
138b2295b2334
144317dc5aa40
1521b8179883c
hex11c5c584ea0

1221320003232 has 192 divisors, whose sum is σ = 3770878648320. Its totient is φ = 338805421056.

The previous prime is 1221320003207. The next prime is 1221320003243. The reversal of 1221320003232 is 2323000231221.

It is a happy number.

It is a super-2 number, since 2×12213200032322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1221320003199 and 1221320003208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11858583 + ... + 11961129.

It is an arithmetic number, because the mean of its divisors is an integer number (19639992960).

Almost surely, 21221320003232 is an apocalyptic number.

1221320003232 is a gapful number since it is divisible by the number (12) 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 1221320003232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885439324160).

1221320003232 is an abundant number, since it is smaller than the sum of its proper divisors (2549558645088).

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

1221320003232 is a wasteful number, since it uses less digits than its factorization.

1221320003232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103083 (or 103075 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1221320003232 its reverse (2323000231221), we get a palindrome (3544320234453).

The spelling of 1221320003232 in words is "one trillion, two hundred twenty-one billion, three hundred twenty million, three thousand, two hundred thirty-two".