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13202155505420 = 2257375059503791
BaseRepresentation
bin1100000000011101110111…
…0010100000011100001100
31201202010001220202020022222
43000013131302200130030
53212301003302133140
644024553030354512
72531552502136640
oct300073562403414
951663056666288
1013202155505420
114230003670032
1215927bb1bba38
13749c5b72a68b
14338db84c0c20
1517d641e895b5
hexc01ddca070c

13202155505420 has 96 divisors (see below), whose sum is σ = 32548026255360. Its totient is φ = 4403237448960.

The previous prime is 13202155505401. The next prime is 13202155505467. The reversal of 13202155505420 is 2450555120231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25953725 + ... + 26457515.

It is an arithmetic number, because the mean of its divisors is an integer number (339041940160).

Almost surely, 213202155505420 is an apocalyptic number.

13202155505420 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 13202155505420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16274013127680).

13202155505420 is an abundant number, since it is smaller than the sum of its proper divisors (19345870749940).

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

13202155505420 is a wasteful number, since it uses less digits than its factorization.

13202155505420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508903 (or 508901 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

The spelling of 13202155505420 in words is "thirteen trillion, two hundred two billion, one hundred fifty-five million, five hundred five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1036 1295 2590 5059 5180 10118 20236 25295 35413 50590 70826 101180 141652 177065 187183 354130 374366 503791 708260 748732 935915 1007582 1310281 1871830 2015164 2518955 2620562 3526537 3743660 5037910 5241124 6551405 7053074 10075820 13102810 14106148 17632685 18640267 26205620 35265370 37280534 70530740 74561068 93201335 130481869 186402670 260963738 372805340 521927476 652409345 1304818690 2548678669 2609637380 5097357338 10194714676 12743393345 17840750683 25486786690 35681501366 50973573380 71363002732 89203753415 94301110753 178407506830 188602221506 356815013660 377204443012 471505553765 660107775271 943011107530 1320215550542 1886022215060 2640431101084 3300538876355 6601077752710 13202155505420