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1112134100 = 2252711971489
BaseRepresentation
bin100001001001001…
…1101000111010100
32212111200021011212
41002102131013110
54234201242400
6302204520552
736362661320
oct10222350724
92774607155
101112134100
115208528a0
12270550158
1314953ba1c
14a79ba980
1567981335
hex4249d1d4

1112134100 has 144 divisors (see below), whose sum is σ = 3041888640. Its totient is φ = 342835200.

The previous prime is 1112134073. The next prime is 1112134103. The reversal of 1112134100 is 14312111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112134103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 746156 + ... + 747644.

Almost surely, 21112134100 is an apocalyptic number.

1112134100 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 1112134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520944320).

1112134100 is an abundant number, since it is smaller than the sum of its proper divisors (1929754540).

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

1112134100 is a wasteful number, since it uses less digits than its factorization.

1112134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1112134100 is about 33348.6746363330. The cubic root of 1112134100 is about 1036.0619375819.

Adding to 1112134100 its reverse (14312111), we get a palindrome (1126446211).

The spelling of 1112134100 in words is "one billion, one hundred twelve million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 97 100 110 140 154 175 194 220 275 308 350 385 388 485 550 679 700 770 970 1067 1100 1358 1489 1540 1925 1940 2134 2425 2716 2978 3395 3850 4268 4850 5335 5956 6790 7445 7469 7700 9700 10423 10670 13580 14890 14938 16379 16975 20846 21340 26675 29780 29876 32758 33950 37225 37345 41692 52115 53350 65516 67900 74450 74690 81895 104230 106700 114653 144433 148900 149380 163790 186725 208460 229306 260575 288866 327580 373450 409475 458612 521150 573265 577732 722165 746900 818950 1011031 1042300 1146530 1444330 1588763 1637900 2022062 2293060 2866325 2888660 3177526 3610825 4044124 5055155 5732650 6355052 7221650 7943815 10110310 11121341 11465300 14443300 15887630 20220620 22242682 25275775 31775260 39719075 44485364 50551550 55606705 79438150 101103100 111213410 158876300 222426820 278033525 556067050 1112134100