Search a number
-
+
112020033000 = 2335373511507
BaseRepresentation
bin110100001010011101…
…0100000110111101000
3101201010212110021201010
41220110322200313220
53313404112024000
6123243350023520
711043650366331
oct1502472406750
9351125407633
10112020033000
114356442a877
1219863347ba0
13a742b696c5
1455c95b5288
152da9615d50
hex1a14ea0de8

112020033000 has 128 divisors (see below), whose sum is σ = 354290901120. Its totient is φ = 29462745600.

The previous prime is 112020032987. The next prime is 112020033001. The reversal of 112020033000 is 330020211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (112020033001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 36754 + ... + 474753.

It is an arithmetic number, because the mean of its divisors is an integer number (2767897665).

Almost surely, 2112020033000 is an apocalyptic number.

112020033000 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 112020033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177145450560).

112020033000 is an abundant number, since it is smaller than the sum of its proper divisors (242270868120).

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

112020033000 is a wasteful number, since it uses less digits than its factorization.

112020033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511604 (or 511590 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 112020033000 its reverse (330020211), we get a palindrome (112350053211).

The spelling of 112020033000 in words is "one hundred twelve billion, twenty million, thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 73 75 100 120 125 146 150 200 219 250 292 300 365 375 438 500 584 600 730 750 876 1000 1095 1460 1500 1752 1825 2190 2920 3000 3650 4380 5475 7300 8760 9125 10950 14600 18250 21900 27375 36500 43800 54750 73000 109500 219000 511507 1023014 1534521 2046028 2557535 3069042 4092056 5115070 6138084 7672605 10230140 12276168 12787675 15345210 20460280 25575350 30690420 37340011 38363025 51150700 61380840 63938375 74680022 76726050 102301400 112020033 127876750 149360044 153452100 186700055 191815125 224040066 255753500 298720088 306904200 373400110 383630250 448080132 511507000 560100165 746800220 767260500 896160264 933500275 1120200330 1493600440 1534521000 1867000550 2240400660 2800500825 3734001100 4480801320 4667501375 5601001650 7468002200 9335002750 11202003300 14002504125 18670005500 22404006600 28005008250 37340011000 56010016500 112020033000