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13142206500 = 2235371123401
BaseRepresentation
bin11000011110101011…
…00010100000100100
31020220220101021002220
430033111202200210
5203403401102000
610012031032340
7643450624563
oct141725424044
936826337086
1013142206500
115634484295
12266936b6b0
1313159a2467
148c95c5bda
1551db921a0
hex30f562824

13142206500 has 96 divisors (see below), whose sum is σ = 38809435392. Its totient is φ = 3455200000.

The previous prime is 13142206477. The next prime is 13142206523. The reversal of 13142206500 is 560224131.

It is an interprime number because it is at equal distance from previous prime (13142206477) and next prime (13142206523).

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, 44800 + ... + 168200.

It is an arithmetic number, because the mean of its divisors is an integer number (404264952).

Almost surely, 213142206500 is an apocalyptic number.

13142206500 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 13142206500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19404717696).

13142206500 is an abundant number, since it is smaller than the sum of its proper divisors (25667228892).

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

13142206500 is a wasteful number, since it uses less digits than its factorization.

13142206500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123494 (or 123482 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 13142206500 in words is "thirteen billion, one hundred forty-two million, two hundred six thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 125 142 150 213 250 284 300 355 375 426 500 710 750 852 1065 1420 1500 1775 2130 3550 4260 5325 7100 8875 10650 17750 21300 26625 35500 53250 106500 123401 246802 370203 493604 617005 740406 1234010 1480812 1851015 2468020 3085025 3702030 6170050 7404060 8761471 9255075 12340100 15425125 17522942 18510150 26284413 30850250 35045884 37020300 43807355 46275375 52568826 61700500 87614710 92550750 105137652 131422065 175229420 185101500 219036775 262844130 438073550 525688260 657110325 876147100 1095183875 1314220650 2190367750 2628441300 3285551625 4380735500 6571103250 13142206500