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1002240511025 = 52132367797811
BaseRepresentation
bin11101001010110100011…
…00001000110000110001
310112210221212100011210212
432211122030020300301
5112410042032323100
62044231204233505
7132260311532105
oct16453214106061
93483855304725
101002240511025
11357058704aa6
121422a839b895
1373684512500
1436719c2b905
151b10d2d6635
hexe95a308c31

1002240511025 has 72 divisors (see below), whose sum is σ = 1352756168064. Its totient is φ = 736264339200.

The previous prime is 1002240511007. The next prime is 1002240511031. The reversal of 1002240511025 is 5201150422001.

It is not a de Polignac number, because 1002240511025 - 224 = 1002223733809 is a prime.

It is a Duffinian number.

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 71 ways as a sum of consecutive naturals, for example, 1235807870 + ... + 1235808680.

It is an arithmetic number, because the mean of its divisors is an integer number (18788280112).

Almost surely, 21002240511025 is an apocalyptic number.

It is an amenable number.

1002240511025 is a deficient number, since it is larger than the sum of its proper divisors (350515657039).

1002240511025 is a wasteful number, since it uses less digits than its factorization.

1002240511025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

Adding to 1002240511025 its reverse (5201150422001), we get a palindrome (6203390933026).

The spelling of 1002240511025 in words is "one trillion, two billion, two hundred forty million, five hundred eleven thousand, twenty-five".

Divisors: 1 5 13 25 65 169 325 367 797 811 845 1835 3985 4055 4225 4771 9175 10361 10543 19925 20275 23855 51805 52715 62023 119275 134693 137059 259025 263575 292499 297637 310115 646367 673465 685295 1462495 1488185 1550575 3231835 3367325 3426475 3802487 3869281 7312475 7440925 8402771 16159175 19012435 19346405 42013855 49432331 50300653 95062175 96732025 109236023 210069275 237216689 247161655 251503265 546180115 1186083445 1235808275 1257516325 2730900575 3083816957 5930417225 15419084785 40089620441 77095423925 200448102205 1002240511025