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13033004343324 = 22372557115334513
BaseRepresentation
bin1011110110100111101110…
…0110000010000000011100
31201010221110110222212220120
42331221323212002000130
53202013043102441244
643415140214114540
72513413666032600
oct275517346020034
951127413885816
1013033004343324
1141752a2200399
121565a7294ba50
137370125c5954
14330b2d487500
15179041e11819
hexbda7b98201c

13033004343324 has 144 divisors (see below), whose sum is σ = 35470571800608. Its totient is φ = 3713698824192.

The previous prime is 13033004343301. The next prime is 13033004343371. The reversal of 13033004343324 is 42334340033031.

It is a congruent number.

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, 377608692 + ... + 377643204.

It is an arithmetic number, because the mean of its divisors is an integer number (246323415282).

Almost surely, 213033004343324 is an apocalyptic number.

13033004343324 is a gapful number since it is divisible by the number (14) 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 13033004343324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17735285900304).

13033004343324 is an abundant number, since it is smaller than the sum of its proper divisors (22437567457284).

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

13033004343324 is a wasteful number, since it uses less digits than its factorization.

13033004343324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36244 (or 36235 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 33.

Adding to 13033004343324 its reverse (42334340033031), we get a palindrome (55367344376355).

The spelling of 13033004343324 in words is "thirteen trillion, thirty-three billion, four million, three hundred forty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 557 588 1114 1153 1671 2228 2306 3342 3459 3899 4612 6684 6918 7798 8071 11697 13836 15596 16142 23394 24213 27293 32284 34513 46788 48426 54586 56497 69026 81879 96852 103539 109172 112994 138052 163758 169491 207078 225988 241591 327516 338982 414156 483182 642221 677964 724773 966364 1284442 1449546 1691137 1926663 2568884 2899092 3382274 3853326 4495547 5073411 6764548 7706652 8991094 10146822 13486641 17982188 19223741 20293644 26973282 31468829 38447482 39793489 53946564 57671223 62937658 76894964 79586978 94406487 115342446 119380467 125875316 134566187 159173956 188812974 230684892 238760934 269132374 278554423 377625948 403698561 477521868 538264748 557108846 807397122 835663269 941963309 1114217692 1614794244 1671326538 1883926618 1949880961 2825889927 3342653076 3767853236 3899761922 5651779854 5849642883 7799523844 11303559708 11699285766 22164973373 23398571532 44329946746 66494920119 88659893492 132989840238 155154813611 265979680476 310309627222 465464440833 620619254444 930928881666 1086083695277 1861857763332 2172167390554 3258251085831 4344334781108 6516502171662 13033004343324