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1221003002032 = 241137653287137
BaseRepresentation
bin10001110001001001011…
…100110100000010110000
311022201121210120011100121
4101301021130310002300
5130001103232031112
62332530535500024
7154133410163062
oct21611134640260
94281553504317
101221003002032
114309083aa410
1217877b527614
138b1a8a11068
144314dadd732
1521b63a2c407
hex11c497340b0

1221003002032 has 80 divisors (see below), whose sum is σ = 2654574730272. Its totient is φ = 539172495360.

The previous prime is 1221003002029. The next prime is 1221003002041. The reversal of 1221003002032 is 2302003001221.

It is a super-2 number, since 2×12210030020322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1221003001997 and 1221003002015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4108768 + ... + 4395904.

Almost surely, 21221003002032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221003002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327287365136).

1221003002032 is an abundant number, since it is smaller than the sum of its proper divisors (1433571728240).

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

1221003002032 is a wasteful number, since it uses less digits than its factorization.

1221003002032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287846 (or 287840 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1221003002032 its reverse (2302003001221), we get a palindrome (3523006003253).

The spelling of 1221003002032 in words is "one trillion, two hundred twenty-one billion, three million, two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 148 176 296 407 592 653 814 1306 1628 2612 3256 5224 6512 7183 10448 14366 24161 28732 48322 57464 96644 114928 193288 265771 287137 386576 531542 574274 1063084 1148548 2126168 2297096 3158507 4252336 4594192 6317014 10624069 12634028 21248138 25268056 42496276 50536112 84992552 116864759 169985104 187500461 233729518 375000922 467459036 750001844 934918072 1500003688 1869836144 2062505071 3000007376 4125010142 6937517057 8250020284 13875034114 16500040568 27750068228 33000081136 55500136456 76312687627 111000272912 152625375254 305250750508 610501501016 1221003002032