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1033801020 = 22325721931199
BaseRepresentation
bin111101100111101…
…000110100111100
32200001021112101200
4331213220310330
54104123113040
6250325535500
734422110100
oct7547506474
92601245350
101033801020
1149061000a
1224a274590
131362432a5
149b429900
1560b5b630
hex3d9e8d3c

1033801020 has 432 divisors, whose sum is σ = 3983616000. Its totient is φ = 215550720.

The previous prime is 1033801007. The next prime is 1033801057. The reversal of 1033801020 is 201083301.

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

It is a junction number, because it is equal to n+sod(n) for n = 1033800984 and 1033801002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5194881 + ... + 5195079.

Almost surely, 21033801020 is an apocalyptic number.

1033801020 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 1033801020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991808000).

1033801020 is an abundant number, since it is smaller than the sum of its proper divisors (2949814980).

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

1033801020 is a wasteful number, since it uses less digits than its factorization.

1033801020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1033801020 is about 32152.7762409407. The cubic root of 1033801020 is about 1011.1423926329.

Adding to 1033801020 its reverse (201083301), we get a palindrome (1234884321).

The spelling of 1033801020 in words is "one billion, thirty-three million, eight hundred one thousand, twenty".