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231112001100 = 223523743484207
BaseRepresentation
bin1101011100111101011…
…0010100011001001100
3211002112121000002121110
43113033112110121030
512241304133013400
6254101004132020
722461112411401
oct3271726243114
9732477002543
10231112001100
118a017777102
123895ab37010
1318a41ba7596
14b2860b02a8
156029a04e50
hex35cf59464c

231112001100 has 144 divisors (see below), whose sum is σ = 702729133568. Its totient is φ = 58569557760.

The previous prime is 231112001077. The next prime is 231112001161. The reversal of 231112001100 is 1100211132.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235197 + ... + 719403.

Almost surely, 2231112001100 is an apocalyptic number.

231112001100 is a gapful number since it is divisible by the number (20) 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 231112001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351364566784).

231112001100 is an abundant number, since it is smaller than the sum of its proper divisors (471617132468).

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

231112001100 is a wasteful number, since it uses less digits than its factorization.

231112001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484304 (or 484297 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 231112001100 its reverse (1100211132), we get a palindrome (232212212232).

The spelling of 231112001100 in words is "two hundred thirty-one billion, one hundred twelve million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 43 50 60 74 75 86 100 111 129 148 150 172 185 215 222 258 300 370 430 444 516 555 645 740 860 925 1075 1110 1290 1591 1850 2150 2220 2580 2775 3182 3225 3700 4300 4773 5550 6364 6450 7955 9546 11100 12900 15910 19092 23865 31820 39775 47730 79550 95460 119325 159100 238650 477300 484207 968414 1452621 1936828 2421035 2905242 4842070 5810484 7263105 9684140 12105175 14526210 17915659 20820901 24210350 29052420 35831318 36315525 41641802 48420700 53746977 62462703 71662636 72631050 83283604 89578295 104104505 107493954 124925406 145262100 179156590 208209010 214987908 249850812 268734885 312313515 358313180 416418020 447891475 520522525 537469770 624627030 770373337 895782950 1041045050 1074939540 1249254060 1343674425 1540746674 1561567575 1791565900 2082090100 2311120011 2687348850 3081493348 3123135150 3851866685 4622240022 5374697700 6246270300 7703733370 9244480044 11555600055 15407466740 19259333425 23111200110 38518666850 46222400220 57778000275 77037333700 115556000550 231112001100