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1002442142310 = 235723207544957
BaseRepresentation
bin11101001011001100011…
…01010011001001100110
310112211110220202002221020
432211212031103021212
5112411000142023220
62044303210032010
7132265310422320
oct16454615231146
93484426662836
101002442142310
11357151501624
12142343a18606
13736b721b16b
1436738916610
151b120d64040
hexe966353266

1002442142310 has 64 divisors (see below), whose sum is σ = 2869101499392. Its totient is φ = 219167473536.

The previous prime is 1002442142243. The next prime is 1002442142311. The reversal of 1002442142310 is 132412442001.

1002442142310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10024421423102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002442142311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103767649 + ... + 103777308.

It is an arithmetic number, because the mean of its divisors is an integer number (44829710928).

Almost surely, 21002442142310 is an apocalyptic number.

1002442142310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002442142310 is an abundant number, since it is smaller than the sum of its proper divisors (1866659357082).

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

1002442142310 is a wasteful number, since it uses less digits than its factorization.

1002442142310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207544997.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1002442142310 its reverse (132412442001), we get a palindrome (1134854584311).

The spelling of 1002442142310 in words is "one trillion, two billion, four hundred forty-two million, one hundred forty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 690 805 966 1610 2415 4830 207544957 415089914 622634871 1037724785 1245269742 1452814699 2075449570 2905629398 3113174355 4358444097 4773534011 6226348710 7264073495 8716888194 9547068022 14320602033 14528146990 21792220485 23867670055 28641204066 33414738077 43584440970 47735340110 66829476154 71603010165 100244214231 143206020330 167073690385 200488428462 334147380770 501221071155 1002442142310