Search a number
-
+
10112030000 = 24543732711
BaseRepresentation
bin10010110101011100…
…10101010100110000
3222002201120100101122
421122232111110300
5131202134430000
64351223521412
7505404560012
oct113256252460
928081510348
1010112030000
114319a82896
121b625b9268
13c51c83807
146bcda61b2
153e2b3c085
hex25ab95530

10112030000 has 100 divisors (see below), whose sum is σ = 24556926768. Its totient is φ = 4032480000.

The previous prime is 10112029987. The next prime is 10112030023. The reversal of 10112030000 is 3021101.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10112030000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3728645 + ... + 3731355.

Almost surely, 210112030000 is an apocalyptic number.

10112030000 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 10112030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12278463384).

10112030000 is an abundant number, since it is smaller than the sum of its proper divisors (14444896768).

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

10112030000 is an equidigital number, since it uses as much as digits as its factorization.

10112030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3091 counting only the distinct ones).

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

Adding to 10112030000 its reverse (3021101), we get a palindrome (10115051101).

The spelling of 10112030000 in words is "ten billion, one hundred twelve million, thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 373 400 500 625 746 1000 1250 1492 1865 2000 2500 2711 2984 3730 5000 5422 5968 7460 9325 10000 10844 13555 14920 18650 21688 27110 29840 37300 43376 46625 54220 67775 74600 93250 108440 135550 149200 186500 216880 233125 271100 338875 373000 466250 542200 677750 746000 932500 1011203 1084400 1355500 1694375 1865000 2022406 2711000 3388750 3730000 4044812 5056015 5422000 6777500 8089624 10112030 13555000 16179248 20224060 25280075 27110000 40448120 50560150 80896240 101120300 126400375 202240600 252800750 404481200 505601500 632001875 1011203000 1264003750 2022406000 2528007500 5056015000 10112030000