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13029405120 = 263351508033
BaseRepresentation
bin11000010001001110…
…01111000111000000
31020122001010100201000
430020213033013000
5203141011430440
65552521212000
7640611054564
oct141047170700
936561110630
1013029405120
115586839a06
122637631000
1312c84c8c94
148b86216a4
15513d0e730
hex3089cf1c0

13029405120 has 112 divisors (see below), whose sum is σ = 45964876320. Its totient is φ = 3474505728.

The previous prime is 13029405119. The next prime is 13029405127. The reversal of 13029405120 is 2150492031.

13029405120 is a `hidden beast` number, since 130 + 2 + 9 + 405 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13029405127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745377 + ... + 762656.

Almost surely, 213029405120 is an apocalyptic number.

13029405120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13029405120 is an abundant number, since it is smaller than the sum of its proper divisors (32935471200).

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

13029405120 is a wasteful number, since it uses less digits than its factorization.

13029405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508059 (or 1508043 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 13029405120 its reverse (2150492031), we get a palindrome (15179897151).

The spelling of 13029405120 in words is "thirteen billion, twenty-nine million, four hundred five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 1508033 3016066 4524099 6032132 7540165 9048198 12064264 13572297 15080330 18096396 22620495 24128528 27144594 30160660 36192792 40716891 45240990 48257056 54289188 60321320 67861485 72385584 81433782 90481980 96514112 108578376 120642640 135722970 144771168 162867564 180963960 203584455 217156752 241285280 271445940 289542336 325735128 361927920 407168910 434313504 482570560 542891880 651470256 723855840 814337820 868627008 1085783760 1302940512 1447711680 1628675640 2171567520 2605881024 3257351280 4343135040 6514702560 13029405120