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12031100000 = 2555313881
BaseRepresentation
bin10110011010001110…
…00000010001100000
31011001110122012112022
423031013000101200
5144114430200000
65305500121012
7604066443203
oct131507002140
934043565468
1012031100000
115114273557
1223b9236168
1311997333aa
14821bd593a
154a6365585
hex2cd1c0460

12031100000 has 144 divisors (see below), whose sum is σ = 30568793472. Its totient is φ = 4656000000.

The previous prime is 12031099987. The next prime is 12031100041. The reversal of 12031100000 is 113021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3098060 + ... + 3101940.

It is an arithmetic number, because the mean of its divisors is an integer number (212283288).

Almost surely, 212031100000 is an apocalyptic number.

12031100000 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 12031100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15284396736).

12031100000 is an abundant number, since it is smaller than the sum of its proper divisors (18537693472).

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

12031100000 is an frugal number, since it uses more digits than its factorization.

12031100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947 (or 3919 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 12031100000 its reverse (113021), we get a palindrome (12031213021).

The spelling of 12031100000 in words is "twelve billion, thirty-one million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 625 775 800 992 1000 1240 1250 1550 2000 2480 2500 3100 3125 3875 3881 4000 4960 5000 6200 6250 7750 7762 10000 12400 12500 15500 15524 19375 19405 20000 24800 25000 31000 31048 38750 38810 50000 62000 62096 77500 77620 96875 97025 100000 120311 124000 124192 155000 155240 193750 194050 240622 310000 310480 387500 388100 481244 485125 601555 620000 620960 775000 776200 962488 970250 1203110 1550000 1552400 1924976 1940500 2406220 2425625 3007775 3100000 3104800 3849952 3881000 4812440 4851250 6015550 7762000 9624880 9702500 12031100 12128125 15038875 15524000 19249760 19405000 24062200 24256250 30077750 38810000 48124400 48512500 60155500 75194375 77620000 96248800 97025000 120311000 150388750 194050000 240622000 300777500 375971875 388100000 481244000 601555000 751943750 1203110000 1503887500 2406220000 3007775000 6015550000 12031100000