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13235291220 = 2235678339667
BaseRepresentation
bin11000101001110001…
…01000010001010100
31021011101112110100010
430110320220101110
5204101213304340
610025154120220
7645661055604
oct142470502124
937141473303
1013235291220
115681a82208
122694580070
13132c064488
148d7ad6c04
15526e2cb80
hex314e28454

13235291220 has 96 divisors (see below), whose sum is σ = 38066047488. Its totient is φ = 3434758272.

The previous prime is 13235291213. The next prime is 13235291233. The reversal of 13235291220 is 2219253231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 313827 + ... + 353493.

It is an arithmetic number, because the mean of its divisors is an integer number (396521328).

Almost surely, 213235291220 is an apocalyptic number.

13235291220 is a gapful number since it is divisible by the number (10) 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 13235291220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19033023744).

13235291220 is an abundant number, since it is smaller than the sum of its proper divisors (24830756268).

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

13235291220 is a wasteful number, since it uses less digits than its factorization.

13235291220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39829 (or 39827 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 13235291220 in words is "thirteen billion, two hundred thirty-five million, two hundred ninety-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 83 134 166 201 249 268 332 335 402 415 498 670 804 830 996 1005 1245 1340 1660 2010 2490 4020 4980 5561 11122 16683 22244 27805 33366 39667 55610 66732 79334 83415 111220 119001 158668 166830 198335 238002 333660 396670 476004 595005 793340 1190010 2380020 2657689 3292361 5315378 6584722 7973067 9877083 10630756 13169444 13288445 15946134 16461805 19754166 26576890 31892268 32923610 39508332 39865335 49385415 53153780 65847220 79730670 98770830 159461340 197541660 220588187 441176374 661764561 882352748 1102940935 1323529122 2205881870 2647058244 3308822805 4411763740 6617645610 13235291220