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12001301100 = 22325223579773
BaseRepresentation
bin10110010110101010…
…10101001001101100
31010222101120021010100
423023111111021230
5144034313113400
65302513311100
7603255243015
oct131325251154
933871507110
1012001301100
1150a9470168
1223ab265490
1311934cbac9
1481bc7a00c
154a392b100
hex2cb55526c

12001301100 has 108 divisors (see below), whose sum is σ = 39253018896. Its totient is φ = 3061196160.

The previous prime is 12001301089. The next prime is 12001301119. The reversal of 12001301100 is 110310021.

12001301100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120013011002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 269187 + ... + 310586.

Almost surely, 212001301100 is an apocalyptic number.

12001301100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001301100 is an abundant number, since it is smaller than the sum of its proper divisors (27251717796).

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

12001301100 is a wasteful number, since it uses less digits than its factorization.

12001301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579816 (or 579806 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 12001301100 its reverse (110310021), we get a palindrome (12111611121).

The spelling of 12001301100 in words is "twelve billion, one million, three hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 50 60 69 75 90 92 100 115 138 150 180 207 225 230 276 300 345 414 450 460 575 690 828 900 1035 1150 1380 1725 2070 2300 3450 4140 5175 6900 10350 20700 579773 1159546 1739319 2319092 2898865 3478638 5217957 5797730 6957276 8696595 10435914 11595460 13334779 14494325 17393190 20871828 26089785 26669558 28988650 34786380 40004337 43482975 52179570 53339116 57977300 66673895 80008674 86965950 104359140 120013011 130448925 133347790 160017348 173931900 200021685 240026022 260897850 266695580 333369475 400043370 480052044 521795700 600065055 666738950 800086740 1000108425 1200130110 1333477900 2000216850 2400260220 3000325275 4000433700 6000650550 12001301100