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1002002420010 = 235312149323279
BaseRepresentation
bin11101001010010111111…
…11111001000100101010
310112210100021022220100010
432211023333321010222
5112404100104420020
62044151421152350
7132251361020154
oct16451377710452
93483307286303
101002002420010
11356a46275769
121422406bb6b6
13736470ac557
14366d6371ad4
151b0e7455de0
hexe94bff912a

1002002420010 has 96 divisors (see below), whose sum is σ = 2486653758720. Its totient is φ = 258396973440.

The previous prime is 1002002419981. The next prime is 1002002420039. The reversal of 1002002420010 is 100242002001.

It is an interprime number because it is at equal distance from previous prime (1002002419981) and next prime (1002002420039).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43031551 + ... + 43054829.

It is an arithmetic number, because the mean of its divisors is an integer number (25902643320).

Almost surely, 21002002420010 is an apocalyptic number.

1002002420010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002002420010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243326879360).

1002002420010 is an abundant number, since it is smaller than the sum of its proper divisors (1484651338710).

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

1002002420010 is a wasteful number, since it uses less digits than its factorization.

1002002420010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24844 (or 24813 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1002002420010 its reverse (100242002001), we get a palindrome (1102244422011).

The spelling of 1002002420010 in words is "one trillion, two billion, two million, four hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 961 1493 1922 2883 2986 4479 4805 5766 7465 8958 9610 14415 14930 22395 23279 28830 44790 46283 46558 69837 92566 116395 138849 139674 231415 232790 277698 349185 462830 694245 698370 721649 1388490 1434773 1443298 2164947 2869546 3608245 4304319 4329894 7173865 7216490 8608638 10824735 14347730 21521595 21649470 22371119 34755547 43043190 44742238 67113357 69511094 104266641 111855595 134226714 173777735 208533282 223711190 335566785 347555470 521333205 671133570 1042666410 1077421957 2154843914 3232265871 5387109785 6464531742 10774219570 16161329355 32322658710 33400080667 66800161334 100200242001 167000403335 200400484002 334000806670 501001210005 1002002420010