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1332313020 = 2232537251797
BaseRepresentation
bin100111101101001…
…0111101110111100
310102211222111212200
41033122113232330
510212033004040
6340112031500
745005321343
oct11732275674
93384874780
101332313020
11624068545
12312232590
1318303c9cc
14c8d32b5a
157be74630
hex4f697bbc

1332313020 has 144 divisors (see below), whose sum is σ = 4172339808. Its totient is φ = 343872000.

The previous prime is 1332313013. The next prime is 1332313033. The reversal of 1332313020 is 203132331.

1332313020 is a `hidden beast` number, since 1 + 332 + 31 + 302 + 0 = 666.

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 = 1332312984 and 1332313002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1671262 + ... + 1672058.

It is an arithmetic number, because the mean of its divisors is an integer number (28974582).

Almost surely, 21332313020 is an apocalyptic number.

1332313020 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 1332313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086169904).

1332313020 is an abundant number, since it is smaller than the sum of its proper divisors (2840026788).

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

1332313020 is a wasteful number, since it uses less digits than its factorization.

1332313020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1332313020 is about 36500.8632774624. The cubic root of 1332313020 is about 1100.3615946214.

Adding to 1332313020 its reverse (203132331), we get a palindrome (1535445351).

The spelling of 1332313020 in words is "one billion, three hundred thirty-two million, three hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 251 333 370 444 502 555 666 740 753 797 1004 1110 1255 1332 1506 1594 1665 2220 2259 2391 2510 3012 3188 3330 3765 3985 4518 4782 5020 6660 7173 7530 7970 9036 9287 9564 11295 11955 14346 15060 15940 18574 22590 23910 27861 28692 29489 35865 37148 45180 46435 47820 55722 58978 71730 83583 88467 92870 111444 117956 139305 143460 147445 167166 176934 185740 200047 265401 278610 294890 334332 353868 400094 417915 442335 530802 557220 589780 600141 800188 835830 884670 1000235 1061604 1200282 1327005 1671660 1769340 1800423 2000470 2400564 2654010 3000705 3600846 4000940 5308020 6001410 7201692 7401739 9002115 12002820 14803478 18004230 22205217 29606956 36008460 37008695 44410434 66615651 74017390 88820868 111026085 133231302 148034780 222052170 266462604 333078255 444104340 666156510 1332313020