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1132332313320 = 2332513241951349
BaseRepresentation
bin10000011110100100010…
…000111110101011101000
311000020202012000110111200
4100132210100332223220
5122023004033011240
62224104123124200
7144544151566455
oct20364420765350
94006665013450
101132332313320
113a724608659a
12163553973660
1382a1741a410
143cb3b59282c
151e6c4230930
hex107a443eae8

1132332313320 has 96 divisors (see below), whose sum is σ = 3963163113000. Its totient is φ = 278727952896.

The previous prime is 1132332313303. The next prime is 1132332313361. The reversal of 1132332313320 is 233132332311.

1132332313320 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 3 + 323 + 1 + 332 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 885635330724 + 246696982596 = 941082^2 + 496686^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120970995 + ... + 120980354.

Almost surely, 21132332313320 is an apocalyptic number.

1132332313320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132332313320 is an abundant number, since it is smaller than the sum of its proper divisors (2830830799680).

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

1132332313320 is a wasteful number, since it uses less digits than its factorization.

1132332313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241951379 (or 241951372 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1132332313320 its reverse (233132332311), we get a palindrome (1365464645631).

The spelling of 1132332313320 in words is "one trillion, one hundred thirty-two billion, three hundred thirty-two million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 241951349 483902698 725854047 967805396 1209756745 1451708094 1935610792 2177562141 2419513490 2903416188 3145367537 3629270235 4355124282 4839026980 5806832376 6290735074 7258540470 8710248564 9436102611 9678053960 10887810705 12581470148 14517080940 15726837685 17420497128 18872205222 21775621410 25162940296 28308307833 29034161880 31453675370 37744410444 43551242820 47180513055 56616615666 62907350740 75488820888 87102485640 94361026110 113233231332 125814701480 141541539165 188722052220 226466462664 283083078330 377444104440 566166156660 1132332313320