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1333313020 = 2251379139467
BaseRepresentation
bin100111101111000…
…1011110111111100
310102220212022121201
41033132023313330
510212312004040
6340145305244
745016654654
oct11736136774
93386768551
101333313020
11624690896
12312635224
131832ccc20
14c9113364
157c0c0a9a
hex4f78bdfc

1333313020 has 96 divisors (see below), whose sum is σ = 3082060800. Its totient is φ = 481538304.

The previous prime is 1333313017. The next prime is 1333313021. The reversal of 1333313020 is 203133331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333313021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2854827 + ... + 2855293.

It is an arithmetic number, because the mean of its divisors is an integer number (32104800).

Almost surely, 21333313020 is an apocalyptic number.

1333313020 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 1333313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541030400).

1333313020 is an abundant number, since it is smaller than the sum of its proper divisors (1748747780).

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

1333313020 is a wasteful number, since it uses less digits than its factorization.

1333313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

The square root of 1333313020 is about 36514.5590141795. The cubic root of 1333313020 is about 1100.6368268408.

Adding to 1333313020 its reverse (203133331), we get a palindrome (1536446351).

The spelling of 1333313020 in words is "one billion, three hundred thirty-three million, three hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 130 139 158 260 278 316 395 467 556 695 790 934 1027 1390 1580 1807 1868 2054 2335 2780 3614 4108 4670 5135 6071 7228 9035 9340 10270 10981 12142 18070 20540 21962 24284 30355 36140 36893 43924 54905 60710 64913 73786 109810 121420 129826 142753 147572 184465 219620 259652 285506 324565 368930 479609 571012 649130 713765 737860 843869 959218 1298260 1427530 1687738 1918436 2398045 2855060 3375476 4219345 4796090 5128127 8438690 9592180 10256254 16877380 20512508 25640635 51281270 66665651 102562540 133331302 266662604 333328255 666656510 1333313020