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1332232313220 = 2232517538214529
BaseRepresentation
bin10011011000101111001…
…110111101100110000100
311201100201120010121122200
4103120233032331212010
5133311402433010340
62500004041554500
7165151646551134
oct23305716754604
94640646117580
101332232313220
11473aa6456186
12196241aa5a30
1398823ac5a23
14486a2282ac4
15249c3a00330
hex1362f3bd984

1332232313220 has 144 divisors (see below), whose sum is σ = 4359549645360. Its totient is φ = 328055390208.

The previous prime is 1332232313213. The next prime is 1332232313231. The reversal of 1332232313220 is 223132322331.

1332232313220 is a `hidden beast` number, since 1 + 3 + 322 + 3 + 2 + 313 + 2 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 301552543044 + 1030679770176 = 549138^2 + 1015224^2 .

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, 3945085 + ... + 4269444.

It is an arithmetic number, because the mean of its divisors is an integer number (30274650315).

Almost surely, 21332232313220 is an apocalyptic number.

1332232313220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332232313220 is an abundant number, since it is smaller than the sum of its proper divisors (3027317332140).

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

1332232313220 is a wasteful number, since it uses less digits than its factorization.

1332232313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8214614 (or 8214609 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 1332232313220 its reverse (223132322331), we get a palindrome (1555364635551).

The spelling of 1332232313220 in words is "one trillion, three hundred thirty-two billion, two hundred thirty-two million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 53 60 68 85 90 102 106 153 159 170 180 204 212 255 265 306 318 340 477 510 530 612 636 765 795 901 954 1020 1060 1530 1590 1802 1908 2385 2703 3060 3180 3604 4505 4770 5406 8109 9010 9540 10812 13515 16218 18020 27030 32436 40545 54060 81090 162180 8214529 16429058 24643587 32858116 41072645 49287174 73930761 82145290 98574348 123217935 139646993 147861522 164290580 246435870 279293986 295723044 369653805 418940979 435370037 492871740 558587972 698234965 739307610 837881958 870740074 1256822937 1306110111 1396469930 1478615220 1675763916 1741480148 2094704895 2176850185 2513645874 2612220222 2792939860 3918330333 4189409790 4353700370 5027291748 5224440444 6284114685 6530550555 7401290629 7836660666 8378819580 8707400740 12568229370 13061101110 14802581258 15673321332 19591651665 22203871887 25136458740 26122202220 29605162516 37006453145 39183303330 44407743774 66611615661 74012906290 78366606660 88815487548 111019359435 133223231322 148025812580 222038718870 266446462644 333058078305 444077437740 666116156610 1332232313220