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1313211323300 = 2252172333315353
BaseRepresentation
bin10011000111000001011…
…111101001001110100100
311122112121221210012202112
4103013001133221032210
5133003424044321200
62443140404100152
7163606413034052
oct23070137511644
94575557705675
101313211323300
11466a256139a8
12192613994658
1396ab21b93c6
14477ba0031d2
152425dbbb535
hex131c17e93a4

1313211323300 has 72 divisors (see below), whose sum is σ = 3030246817416. Its totient is φ = 492263464960.

The previous prime is 1313211323287. The next prime is 1313211323309. The reversal of 1313211323300 is 33231123131.

It can be written as a sum of positive squares in 12 ways, for example, as 850190955364 + 463020367936 = 922058^2 + 680456^2 .

It is not an unprimeable number, because it can be changed into a prime (1313211323309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1261577 + ... + 2053776.

It is an arithmetic number, because the mean of its divisors is an integer number (42086761353).

Almost surely, 21313211323300 is an apocalyptic number.

1313211323300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313211323300 is an abundant number, since it is smaller than the sum of its proper divisors (1717035494116).

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

1313211323300 is a wasteful number, since it uses less digits than its factorization.

1313211323300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315617 (or 3315610 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 1313211323300 its reverse (33231123131), we get a palindrome (1346442446431).

The spelling of 1313211323300 in words is "one trillion, three hundred thirteen billion, two hundred eleven million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 233 340 425 466 850 932 1165 1700 2330 3961 4660 5825 7922 11650 15844 19805 23300 39610 79220 99025 198050 396100 3315353 6630706 13261412 16576765 33153530 56361001 66307060 82883825 112722002 165767650 225444004 281805005 331535300 563610010 772477249 1127220020 1409025025 1544954498 2818050050 3089908996 3862386245 5636100100 7724772490 13132113233 15449544980 19311931225 26264226466 38623862450 52528452932 65660566165 77247724900 131321132330 262642264660 328302830825 656605661650 1313211323300