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1002003010110 = 232513278389877
BaseRepresentation
bin11101001010011000000…
…10001001001000111110
310112210100022102212210200
432211030002021020332
5112404100232310420
62044151441544330
7132251366025444
oct16451402111076
93483308385720
101002003010110
11356a46639053
121422409450a6
137364725801b
14366d6486b94
151b0e7520b90
hexe94c08923e

1002003010110 has 48 divisors (see below), whose sum is σ = 2607171368256. Its totient is φ = 266999413824.

The previous prime is 1002003010103. The next prime is 1002003010117. The reversal of 1002003010110 is 110103002001.

It is an interprime number because it is at equal distance from previous prime (1002003010103) and next prime (1002003010117).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002003010092 and 1002003010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002003010117) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4075509 + ... + 4314368.

It is an arithmetic number, because the mean of its divisors is an integer number (54316070172).

Almost surely, 21002003010110 is an apocalyptic number.

1002003010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002003010110 is an abundant number, since it is smaller than the sum of its proper divisors (1605168358146).

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

1002003010110 is a wasteful number, since it uses less digits than its factorization.

1002003010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8391217 (or 8391214 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1002003010110 its reverse (110103002001), we get a palindrome (1112106012111).

The spelling of 1002003010110 in words is "one trillion, two billion, three million, ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1327 2654 3981 6635 7962 11943 13270 19905 23886 39810 59715 119430 8389877 16779754 25169631 41949385 50339262 75508893 83898770 125848155 151017786 251696310 377544465 755088930 11133366779 22266733558 33400100337 55666833895 66800200674 100200301011 111333667790 167000501685 200400602022 334001003370 501001505055 1002003010110