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1313330012100 = 223352486418523
BaseRepresentation
bin10011000111001000100…
…100011001111111000100
311122112221020010020012000
4103013020210121333010
5133004144440341400
62443200244025300
7163612353624411
oct23071044317704
94575836106160
101313330012100
11466a8660a617
12192647692230
1396b00974572
14477cba9b108
1524269313600
hex131c8919fc4

1313330012100 has 72 divisors (see below), whose sum is σ = 4222112788320. Its totient is φ = 350221335840.

The previous prime is 1313330012069. The next prime is 1313330012101. The reversal of 1313330012100 is 12100333131.

It is a happy number.

1313330012100 is a `hidden beast` number, since 1 + 313 + 330 + 0 + 1 + 21 + 0 + 0 = 666.

It is a super-2 number, since 2×13133300121002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1313330012101) by changing a digit.

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, 243206562 + ... + 243211961.

Almost surely, 21313330012100 is an apocalyptic number.

1313330012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313330012100 is an abundant number, since it is smaller than the sum of its proper divisors (2908782776220).

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

1313330012100 is a wasteful number, since it uses less digits than its factorization.

1313330012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486418546 (or 486418533 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1313330012100 its reverse (12100333131), we get a palindrome (1325430345231).

The spelling of 1313330012100 in words is "one trillion, three hundred thirteen billion, three hundred thirty million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 486418523 972837046 1459255569 1945674092 2432092615 2918511138 4377766707 4864185230 5837022276 7296277845 8755533414 9728370460 12160463075 13133300121 14592555690 17511066828 21888833535 24320926150 26266600242 29185111380 36481389225 43777667070 48641852300 52533200484 65666500605 72962778450 87555334140 109444167675 131333001210 145925556900 218888335350 262666002420 328332503025 437776670700 656665006050 1313330012100