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1003002332020 = 2251367163353237
BaseRepresentation
bin11101001100001111001…
…10010000001101110100
310112212220221211200202021
432212013212100031310
5112413122044111040
62044434540522524
7132315222103423
oct16460746201564
93485827750667
101003002332020
11357409739427
1214247b550444
13737762b8670
143678d0992ba
151b15511b24a
hexe987990374

1003002332020 has 96 divisors (see below), whose sum is σ = 2316314383488. Its totient is φ = 362572733952.

The previous prime is 1003002332011. The next prime is 1003002332027. The reversal of 1003002332020 is 202332003001.

It is a junction number, because it is equal to n+sod(n) for n = 1003002331985 and 1003002332003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003002332027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2662842 + ... + 3016078.

It is an arithmetic number, because the mean of its divisors is an integer number (24128274828).

Almost surely, 21003002332020 is an apocalyptic number.

1003002332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003002332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158157191744).

1003002332020 is an abundant number, since it is smaller than the sum of its proper divisors (1313312051468).

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

1003002332020 is a wasteful number, since it uses less digits than its factorization.

1003002332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353489 (or 353487 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 1003002332020 its reverse (202332003001), we get a palindrome (1205334335021).

The spelling of 1003002332020 in words is "one trillion, three billion, two million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 163 260 268 326 335 652 670 815 871 1340 1630 1742 2119 3260 3484 4238 4355 8476 8710 10595 10921 17420 21190 21842 42380 43684 54605 109210 141973 218420 283946 353237 567892 706474 709865 1412948 1419730 1766185 2839460 3532370 4592081 7064740 9184162 18368324 22960405 23666879 45920810 47333758 57577631 91841620 94667516 115155262 118334395 230310524 236668790 287888155 307669427 473337580 575776310 615338854 748509203 1151552620 1230677708 1497018406 1538347135 2994036812 3076694270 3742546015 3857701277 6153388540 7485092030 7715402554 14970184060 15430805108 19288506385 38577012770 50150116601 77154025540 100300233202 200600466404 250750583005 501501166010 1003002332020