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1323303033130 = 251317738202461
BaseRepresentation
bin10011010000011011000…
…000011101100100101010
311200111200021010012010021
4103100123000131210222
5133140111034030010
62451530024311054
7164414453122441
oct23203300354452
94614607105107
101323303033130
11470234077961
1219456b61248a
1397a2cba6b40
14480963d9d58
152464eb428da
hex1341b01d92a

1323303033130 has 64 divisors (see below), whose sum is σ = 2753271204768. Its totient is φ = 453563228160.

The previous prime is 1323303033097. The next prime is 1323303033131. The reversal of 1323303033130 is 313303033231.

It can be written as a sum of positive squares in 16 ways, for example, as 69953373169 + 1253349659961 = 264487^2 + 1119531^2 .

It is a super-2 number, since 2×13233030331302 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1323303033095 and 1323303033104.

It is not an unprimeable number, because it can be changed into a prime (1323303033131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3939901 + ... + 4262560.

Almost surely, 21323303033130 is an apocalyptic number.

1323303033130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1323303033130 is an abundant number, since it is smaller than the sum of its proper divisors (1429968171638).

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

1323303033130 is a wasteful number, since it uses less digits than its factorization.

1323303033130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8202571.

The product of its (nonzero) digits is 4374, while the sum is 25.

Adding to 1323303033130 its reverse (313303033231), we get a palindrome (1636606066361).

The spelling of 1323303033130 in words is "one trillion, three hundred twenty-three billion, three hundred three million, thirty-three thousand, one hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 73 85 130 146 170 221 365 442 730 949 1105 1241 1898 2210 2482 4745 6205 9490 12410 16133 32266 80665 161330 8202461 16404922 41012305 82024610 106631993 139441837 213263986 278883674 533159965 598779653 697209185 1066319930 1197559306 1394418370 1812743881 2993898265 3625487762 5987796530 7784135489 9063719405 10179254101 15568270978 18127438810 20358508202 38920677445 50896270505 77841354890 101792541010 132330303313 264660606626 661651516565 1323303033130