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1125242100 = 2232525921191
BaseRepresentation
bin100001100010001…
…1101010011110100
32220102100012222100
41003010131103310
54301030221400
6303353502100
736612254133
oct10304352364
92812305870
101125242100
11528196054
12274a11930
1314c17b138
14a962d91a
1568bc0100
hex4311d4f4

1125242100 has 108 divisors (see below), whose sum is σ = 3586957920. Its totient is φ = 294964800.

The previous prime is 1125242071. The next prime is 1125242101. The reversal of 1125242100 is 12425211.

It is a super-2 number, since 2×11252421002 = 2532339567224820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125242101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42505 + ... + 63695.

Almost surely, 21125242100 is an apocalyptic number.

1125242100 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 1125242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793478960).

1125242100 is an abundant number, since it is smaller than the sum of its proper divisors (2461715820).

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

1125242100 is a wasteful number, since it uses less digits than its factorization.

1125242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21270 (or 21260 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1125242100 is about 33544.6284820685. The cubic root of 1125242100 is about 1040.1165118480.

Adding to 1125242100 its reverse (12425211), we get a palindrome (1137667311).

The spelling of 1125242100 in words is "one billion, one hundred twenty-five million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 59 60 75 90 100 118 150 177 180 225 236 295 300 354 450 531 590 708 885 900 1062 1180 1475 1770 2124 2655 2950 3540 4425 5310 5900 8850 10620 13275 17700 21191 26550 42382 53100 63573 84764 105955 127146 190719 211910 254292 317865 381438 423820 529775 635730 762876 953595 1059550 1250269 1271460 1589325 1907190 2119100 2500538 3178650 3750807 3814380 4767975 5001076 6251345 6357300 7501614 9535950 11252421 12502690 15003228 18754035 19071900 22504842 25005380 31256725 37508070 45009684 56262105 62513450 75016140 93770175 112524210 125026900 187540350 225048420 281310525 375080700 562621050 1125242100