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12234434100 = 22352721127611
BaseRepresentation
bin10110110010011101…
…01010011000110100
31011120122020122110220
423121032222120310
5200024003342400
65342002214340
7612115655040
oct133116523064
934518218426
1012234434100
115209023469
1224553543b0
1311cc8b7125
14840c05020
154b912c7a0
hex2d93aa634

12234434100 has 144 divisors (see below), whose sum is σ = 40648398336. Its totient is φ = 2783088000.

The previous prime is 12234434057. The next prime is 12234434117. The reversal of 12234434100 is 143443221.

12234434100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 429295 + ... + 456905.

It is an arithmetic number, because the mean of its divisors is an integer number (282280544).

Almost surely, 212234434100 is an apocalyptic number.

12234434100 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 12234434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20324199168).

12234434100 is an abundant number, since it is smaller than the sum of its proper divisors (28413964236).

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

12234434100 is a wasteful number, since it uses less digits than its factorization.

12234434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27846 (or 27839 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12234434100 its reverse (143443221), we get a palindrome (12377877321).

The spelling of 12234434100 in words is "twelve billion, two hundred thirty-four million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 211 300 350 420 422 525 633 700 844 1050 1055 1266 1477 2100 2110 2532 2954 3165 4220 4431 5275 5908 6330 7385 8862 10550 12660 14770 15825 17724 21100 22155 27611 29540 31650 36925 44310 55222 63300 73850 82833 88620 110444 110775 138055 147700 165666 193277 221550 276110 331332 386554 414165 443100 552220 579831 690275 773108 828330 966385 1159662 1380550 1656660 1932770 2070825 2319324 2761100 2899155 3865540 4141650 4831925 5798310 5825921 8283300 9663850 11596620 11651842 14495775 17477763 19327700 23303684 28991550 29129605 34955526 40781447 57983100 58259210 69911052 81562894 87388815 116518420 122344341 145648025 163125788 174777630 203907235 244688682 291296050 349555260 407814470 436944075 489377364 582592100 611721705 815628940 873888150 1019536175 1223443410 1747776300 2039072350 2446886820 3058608525 4078144700 6117217050 12234434100