Search a number
-
+
2033111100020 = 22571113238942509
BaseRepresentation
bin11101100101011110110…
…111010110101001110100
321012100211000020000020212
4131211132313112221310
5231302302420200040
64153555350444552
7266613250132250
oct35453667265164
97170730200225
102033111100020
11714268238360
1228a044963758
1311994c33c950
1470590181260
1537d44ce3d65
hex1d95edd6a74

2033111100020 has 192 divisors, whose sum is σ = 5735054707200. Its totient is φ = 584692439040.

The previous prime is 2033111099989. The next prime is 2033111100043. The reversal of 2033111100020 is 200011113302.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2033111099968 and 2033111100004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47806526 + ... + 47849034.

It is an arithmetic number, because the mean of its divisors is an integer number (29870076600).

Almost surely, 22033111100020 is an apocalyptic number.

2033111100020 is a gapful number since it is divisible by the number (20) 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 2033111100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867527353600).

2033111100020 is an abundant number, since it is smaller than the sum of its proper divisors (3701943607180).

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

2033111100020 is a wasteful number, since it uses less digits than its factorization.

2033111100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44938 (or 44936 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 2033111100020 its reverse (200011113302), we get a palindrome (2233122213322).

The spelling of 2033111100020 in words is "two trillion, thirty-three billion, one hundred eleven million, one hundred thousand, twenty".