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1003022113302 = 23211315311712633
BaseRepresentation
bin11101001100010001100…
…01101101101000010110
310112212222100001200120100
432212020301231220112
5112413142130111202
62044440524514530
7132315552201666
oct16461061555026
93485870050510
101003022113302
1135741991a3a0
121424860aba46
137377a423371
14367919681a6
151b156c2741c
hexe988c6da16

1003022113302 has 192 divisors, whose sum is σ = 2496508065792. Its totient is φ = 288235584000.

The previous prime is 1003022113283. The next prime is 1003022113319. The reversal of 1003022113302 is 2033112203001.

1003022113302 is a `hidden beast` number, since 10 + 0 + 302 + 21 + 1 + 330 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 380941378 + ... + 380944010.

It is an arithmetic number, because the mean of its divisors is an integer number (13002646176).

Almost surely, 21003022113302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003022113302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248254032896).

1003022113302 is an abundant number, since it is smaller than the sum of its proper divisors (1493485952490).

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

1003022113302 is a wasteful number, since it uses less digits than its factorization.

1003022113302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1003022113302 its reverse (2033112203001), we get a palindrome (3036134316303).

The spelling of 1003022113302 in words is "one trillion, three billion, twenty-two million, one hundred thirteen thousand, three hundred two".