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12031013000 = 235343475953
BaseRepresentation
bin10110011010001101…
…01011000010001000
31011001110110210012002
423031012223002020
5144114414404000
65305454210132
7604065631436
oct131506530210
934043423162
1012031013000
115114214156
1223b91b3948
131199702906
14821bb1d56
154a63498d5
hex2cd1ab088

12031013000 has 128 divisors (see below), whose sum is σ = 29425144320. Its totient is φ = 4599705600.

The previous prime is 12031012997. The next prime is 12031013011. The reversal of 12031013000 is 31013021.

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, 2018024 + ... + 2023976.

It is an arithmetic number, because the mean of its divisors is an integer number (229883940).

Almost surely, 212031013000 is an apocalyptic number.

12031013000 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 12031013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14712572160).

12031013000 is an abundant number, since it is smaller than the sum of its proper divisors (17394131320).

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

12031013000 is a wasteful number, since it uses less digits than its factorization.

12031013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6064 (or 6050 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 12031013000 its reverse (31013021), we get a palindrome (12062026021).

The spelling of 12031013000 in words is "twelve billion, thirty-one million, thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 47 50 86 94 100 125 172 188 200 215 235 250 344 376 430 470 500 860 940 1000 1075 1175 1720 1880 2021 2150 2350 4042 4300 4700 5375 5875 5953 8084 8600 9400 10105 10750 11750 11906 16168 20210 21500 23500 23812 29765 40420 43000 47000 47624 50525 59530 80840 101050 119060 148825 202100 238120 252625 255979 279791 297650 404200 505250 511958 559582 595300 744125 1010500 1023916 1119164 1190600 1279895 1398955 1488250 2021000 2047832 2238328 2559790 2797910 2976500 5119580 5595820 5953000 6399475 6994775 10239160 11191640 12031013 12798950 13989550 24062026 25597900 27979100 31997375 34973875 48124052 51195800 55958200 60155065 63994750 69947750 96248104 120310130 127989500 139895500 240620260 255979000 279791000 300775325 481240520 601550650 1203101300 1503876625 2406202600 3007753250 6015506500 12031013000