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1033021220020 = 225291781071069
BaseRepresentation
bin11110000100001001101…
…11001110010010110100
310122202102000200012120221
433002010313032102310
5113411111413020040
62110321405504124
7134430141330346
oct17020467162264
93582360605527
101033021220020
11369113603279
12148258872044
137654b56499a
1437dd9c1d296
151bd1072674a
hexf084dce4b4

1033021220020 has 24 divisors (see below), whose sum is σ = 2244149548200. Its totient is φ = 398959919232.

The previous prime is 1033021220017. The next prime is 1033021220051. The reversal of 1033021220020 is 200221203301.

It can be written as a sum of positive squares in 4 ways, for example, as 40503172516 + 992518047504 = 201254^2 + 996252^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1033021219976 and 1033021220003.

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 7 ways as a sum of consecutive naturals, for example, 890534955 + ... + 890536114.

It is an arithmetic number, because the mean of its divisors is an integer number (93506231175).

Almost surely, 21033021220020 is an apocalyptic number.

1033021220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1033021220020 is an abundant number, since it is smaller than the sum of its proper divisors (1211128328180).

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

1033021220020 is a wasteful number, since it uses less digits than its factorization.

1033021220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781071107 (or 1781071105 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1033021220020 its reverse (200221203301), we get a palindrome (1233242423321).

The spelling of 1033021220020 in words is "one trillion, thirty-three billion, twenty-one million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1781071069 3562142138 7124284276 8905355345 17810710690 35621421380 51651061001 103302122002 206604244004 258255305005 516510610010 1033021220020