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10220004442032 = 2437112765152717
BaseRepresentation
bin1001010010111000011110…
…1110111111111110110000
31100012000121200101212220020
42110232013232333332300
52314421032114121112
633423001043443440
72103241144265610
oct224560756777660
940160550355806
1010220004442032
113290309088640
121190856986580
13591985a49138
14274917d30a40
1512aca470e48c
hex94b87bbffb0

10220004442032 has 80 divisors (see below), whose sum is σ = 32916377955072. Its totient is φ = 2654546607360.

The previous prime is 10220004442031. The next prime is 10220004442051. The reversal of 10220004442032 is 23024440002201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10220004441993 and 10220004442011.

It is not an unprimeable number, because it can be changed into a prime (10220004442031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1382572663 + ... + 1382580054.

Almost surely, 210220004442032 is an apocalyptic number.

10220004442032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10220004442032 is an abundant number, since it is smaller than the sum of its proper divisors (22696373513040).

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

10220004442032 is a wasteful number, since it uses less digits than its factorization.

10220004442032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765152746 (or 2765152740 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10220004442032 its reverse (23024440002201), we get a palindrome (33244444444233).

The spelling of 10220004442032 in words is "ten trillion, two hundred twenty billion, four million, four hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 2765152717 5530305434 8295458151 11060610868 16590916302 19356069019 22121221736 30416679887 33181832604 38712138038 44242443472 58068207057 60833359774 66363665208 77424276076 91250039661 116136414114 121666719548 132727330416 154848552152 182500079322 212916759209 232272828228 243333439096 309697104304 365000158644 425833518418 464545656456 486666878192 638750277627 730000317288 851667036836 929091312912 1277500555254 1460000634576 1703334073672 2555001110508 3406668147344 5110002221016 10220004442032