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1033233000020 = 2251367229325867
BaseRepresentation
bin11110000100100010111…
…11000110011001010100
310122202221210011202010122
433002101133012121110
5113412030122000040
62110354413011112
7134435322406634
oct17022137063124
93582853152118
101033233000020
11369212101771
121482b7783a98
13765833b4ab0
1438019dca6c4
151bd2410b1b5
hexf0917c6654

1033233000020 has 96 divisors (see below), whose sum is σ = 2372698220928. Its totient is φ = 375628948992.

The previous prime is 1033232999993. The next prime is 1033233000071. The reversal of 1033233000020 is 200003323301.

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 31 ways as a sum of consecutive naturals, for example, 39931127 + ... + 39956993.

It is an arithmetic number, because the mean of its divisors is an integer number (24715606468).

Almost surely, 21033233000020 is an apocalyptic number.

1033233000020 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 1033233000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186349110464).

1033233000020 is an abundant number, since it is smaller than the sum of its proper divisors (1339465220908).

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

1033233000020 is a wasteful number, since it uses less digits than its factorization.

1033233000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28249 (or 28247 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 1033233000020 its reverse (200003323301), we get a palindrome (1233236323321).

The spelling of 1033233000020 in words is "one trillion, thirty-three billion, two hundred thirty-three million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 260 268 335 670 871 1340 1742 2293 3484 4355 4586 8710 9172 11465 17420 22930 25867 29809 45860 51734 59618 103468 119236 129335 149045 153631 258670 298090 307262 336271 517340 596180 614524 672542 768155 1345084 1536310 1681355 1733089 1997203 3072620 3362710 3466178 3994406 6725420 6932356 7988812 8665445 9986015 17330890 19972030 22530157 34661780 39944060 45060314 59313031 90120628 112650785 118626062 225301570 237252124 296565155 450603140 593130310 771069403 1186260620 1542138806 3084277612 3855347015 3973973077 7710694030 7947946154 15421388060 15895892308 19869865385 39739730770 51661650001 79479461540 103323300002 206646600004 258308250005 516616500010 1033233000020