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13505152155 = 35111741117431
BaseRepresentation
bin11001001001111100…
…00100010010011011
31021212012022210221120
430210332010102123
5210124304332110
610112034140323
7655445620305
oct144476042233
937765283846
1013505152155
115800340780
12274aa216a3
131372c3bbc1
149218a2975
15540986870
hex324f8449b

13505152155 has 64 divisors (see below), whose sum is σ = 25568234496. Its totient is φ = 6012416000.

The previous prime is 13505152151. The next prime is 13505152159. The reversal of 13505152155 is 55125150531.

It is an interprime number because it is at equal distance from previous prime (13505152151) and next prime (13505152159).

It is not a de Polignac number, because 13505152155 - 22 = 13505152151 is a prime.

It is a super-2 number, since 2×135051521552 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13505152151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56290 + ... + 173720.

It is an arithmetic number, because the mean of its divisors is an integer number (399503664).

Almost surely, 213505152155 is an apocalyptic number.

13505152155 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13505152155 is a deficient number, since it is larger than the sum of its proper divisors (12063082341).

13505152155 is a wasteful number, since it uses less digits than its factorization.

13505152155 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117508.

The product of its (nonzero) digits is 18750, while the sum is 33.

The spelling of 13505152155 in words is "thirteen billion, five hundred five million, one hundred fifty-two thousand, one hundred fifty-five".

Divisors: 1 3 5 11 15 17 33 41 51 55 85 123 165 187 205 255 451 561 615 697 935 1353 2091 2255 2805 3485 6765 7667 10455 23001 38335 115005 117431 352293 587155 1291741 1761465 1996327 3875223 4814671 5988981 6458705 9981635 14444013 19376115 21959597 24073355 29944905 52961381 65878791 72220065 81849407 109797985 158884143 245548221 264806905 329393955 409247035 794420715 900343477 1227741105 2701030431 4501717385 13505152155