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13105325550520 = 2357210166201887
BaseRepresentation
bin1011111010110101001001…
…0001100010101110111000
31201101212010200002212110001
42332231102101202232320
53204204201320104040
643512300424402344
72521554120121300
oct276552221425670
951355120085401
1013105325550520
1141a2a34688815
121577a970163b4
13740a998cc188
1433443048c600
1517ad761d259a
hexbeb52462bb8

13105325550520 has 96 divisors (see below), whose sum is σ = 34640799914880. Its totient is φ = 4448766739200.

The previous prime is 13105325550491. The next prime is 13105325550523. The reversal of 13105325550520 is 2505552350131.

It is a super-2 number, since 2×131053255505202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13105325550520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105325550523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32902984 + ... + 33298903.

It is an arithmetic number, because the mean of its divisors is an integer number (360841665780).

Almost surely, 213105325550520 is an apocalyptic number.

13105325550520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13105325550520 is an abundant number, since it is smaller than the sum of its proper divisors (21535474364360).

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

13105325550520 is a wasteful number, since it uses less digits than its factorization.

13105325550520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66202013 (or 66202002 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 37.

The spelling of 13105325550520 in words is "thirteen trillion, one hundred five billion, three hundred twenty-five million, five hundred fifty thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 101 140 196 202 245 280 392 404 490 505 707 808 980 1010 1414 1960 2020 2828 3535 4040 4949 5656 7070 9898 14140 19796 24745 28280 39592 49490 98980 197960 66201887 132403774 264807548 331009435 463413209 529615096 662018870 926826418 1324037740 1853652836 2317066045 2648075480 3243892463 3707305672 4634132090 6487784926 6686390587 9268264180 12975569852 13372781174 16219462315 18536528360 25951139704 26745562348 32438924630 33431952935 46804734109 53491124696 64877849260 66863905870 93609468218 129755698520 133727811740 187218936436 234023670545 267455623480 327633138763 374437872872 468047341090 655266277526 936094682180 1310532555052 1638165693815 1872189364360 2621065110104 3276331387630 6552662775260 13105325550520