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1333323020 = 225318812441
BaseRepresentation
bin100111101111000…
…1110010100001100
310102220212211100002
41033132032110030
510212312314040
6340145423432
745020026061
oct11736162414
93386784302
101333323020
11624698357
1231263ab78
13183304643
14c9116c68
157c0c3a15
hex4f78e50c

1333323020 has 48 divisors (see below), whose sum is σ = 2894766336. Its totient is φ = 515328000.

The previous prime is 1333323001. The next prime is 1333323023. The reversal of 1333323020 is 203233331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1333322983 and 1333323001.

It is not an unprimeable number, because it can be changed into a prime (1333323023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 545000 + ... + 547440.

It is an arithmetic number, because the mean of its divisors is an integer number (60307632).

Almost surely, 21333323020 is an apocalyptic number.

1333323020 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 1333323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447383168).

1333323020 is an abundant number, since it is smaller than the sum of its proper divisors (1561443316).

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

1333323020 is a wasteful number, since it uses less digits than its factorization.

1333323020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 1333323020 is about 36514.6959456052. The cubic root of 1333323020 is about 1100.6395784679.

Adding to 1333323020 its reverse (203233331), we get a palindrome (1536556351).

The spelling of 1333323020 in words is "one billion, three hundred thirty-three million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 881 1762 2441 3524 4405 4882 8810 9764 12205 17620 24410 27311 48820 54622 75671 109244 136555 151342 273110 302684 378355 546220 756710 1513420 2150521 4301042 8602084 10752605 21505210 43010420 66666151 133332302 266664604 333330755 666661510 1333323020