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21221530152240 = 24351135946747947
BaseRepresentation
bin1001101001101000001011…
…10001000010110100110000
32210010202110220221200011010
410310310011301002310300
510240143143204332430
6113045011504350520
74320130205011035
oct464640561026460
983122426850133
1021221530152240
116842000588180
122468a5b615440
13bac2492949a2
145351add7d38c
1526c049ce0cb0
hex134d05c42d30

21221530152240 has 320 divisors, whose sum is σ = 72122875269120. Its totient is φ = 5119190584320.

The previous prime is 21221530152217. The next prime is 21221530152313. The reversal of 21221530152240 is 4225103512212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21221530152198 and 21221530152207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 442579947 + ... + 442627893.

It is an arithmetic number, because the mean of its divisors is an integer number (225383985216).

Almost surely, 221221530152240 is an apocalyptic number.

21221530152240 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 21221530152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36061437634560).

21221530152240 is an abundant number, since it is smaller than the sum of its proper divisors (50901345116880).

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

21221530152240 is a wasteful number, since it uses less digits than its factorization.

21221530152240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48800 (or 48794 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 21221530152240 its reverse (4225103512212), we get a palindrome (25446633664452).

The spelling of 21221530152240 in words is "twenty-one trillion, two hundred twenty-one billion, five hundred thirty million, one hundred fifty-two thousand, two hundred forty".