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1331012520 = 233354130059
BaseRepresentation
bin100111101010101…
…1010001110101000
310102202112102221000
41033111122032220
510211214400040
6340024115000
744661263655
oct11725321650
93382472830
101331012520
1162335a452
12311905a60
131829a5a96
14c8ab4c2c
157bcb9130
hex4f55a3a8

1331012520 has 128 divisors (see below), whose sum is σ = 4545072000. Its totient is φ = 346268160.

The previous prime is 1331012519. The next prime is 1331012539. The reversal of 1331012520 is 252101331.

1331012520 is a `hidden beast` number, since 133 + 1 + 0 + 12 + 520 = 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 = 1331012493 and 1331012502.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29251 + ... + 59309.

It is an arithmetic number, because the mean of its divisors is an integer number (35508375).

Almost surely, 21331012520 is an apocalyptic number.

1331012520 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 1331012520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272536000).

1331012520 is an abundant number, since it is smaller than the sum of its proper divisors (3214059480).

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

1331012520 is a wasteful number, since it uses less digits than its factorization.

1331012520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30120 (or 30110 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1331012520 is about 36483.0442808711. The cubic root of 1331012520 is about 1100.0034490250.

Adding to 1331012520 its reverse (252101331), we get a palindrome (1583113851).

The spelling of 1331012520 in words is "one billion, three hundred thirty-one million, twelve thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 82 90 108 120 123 135 164 180 205 216 246 270 328 360 369 410 492 540 615 738 820 984 1080 1107 1230 1476 1640 1845 2214 2460 2952 3690 4428 4920 5535 7380 8856 11070 14760 22140 30059 44280 60118 90177 120236 150295 180354 240472 270531 300590 360708 450885 541062 601180 721416 811593 901770 1082124 1202360 1232419 1352655 1623186 1803540 2164248 2464838 2705310 3246372 3607080 3697257 4057965 4929676 5410620 6162095 6492744 7394514 8115930 9859352 10821240 11091771 12324190 14789028 16231860 18486285 22183542 24648380 29578056 32463720 33275313 36972570 44367084 49296760 55458855 66550626 73945140 88734168 110917710 133101252 147890280 166376565 221835420 266202504 332753130 443670840 665506260 1331012520