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13300213092 = 2231731267843
BaseRepresentation
bin11000110001100000…
…10010010101100100
31021022220200211101220
430120300102111210
5204214323304332
610035433420340
7650406642315
oct143060222544
937286624356
1013300213092
115705694a51
1226b226a6b0
13133c64579a
1490259660c
1552c9a3d2c
hex318c12564

13300213092 has 72 divisors (see below), whose sum is σ = 33954022368. Its totient is φ = 4037955840.

The previous prime is 13300213063. The next prime is 13300213093. The reversal of 13300213092 is 29031200331.

It is not an unprimeable number, because it can be changed into a prime (13300213093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162123 + ... + 229965.

It is an arithmetic number, because the mean of its divisors is an integer number (471583644).

Almost surely, 213300213092 is an apocalyptic number.

13300213092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13300213092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16977011184).

13300213092 is an abundant number, since it is smaller than the sum of its proper divisors (20653809276).

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

13300213092 is a wasteful number, since it uses less digits than its factorization.

13300213092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67929 (or 67896 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The spelling of 13300213092 in words is "thirteen billion, three hundred million, two hundred thirteen thousand, ninety-two".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 527 961 1054 1581 1922 2108 2883 3162 3844 5766 6324 11532 16337 32674 49011 65348 67843 98022 135686 196044 203529 271372 407058 814116 1153331 2103133 2306662 3459993 4206266 4613324 6309399 6919986 8412532 12618798 13839972 25237596 35753261 65197123 71506522 107259783 130394246 143013044 195591369 214519566 260788492 391182738 429039132 782365476 1108351091 2216702182 3325053273 4433404364 6650106546 13300213092