Search a number
-
+
1012012300 = 2252131794349
BaseRepresentation
bin111100010100100…
…001010100001100
32121112021112220001
4330110201110030
54033033343200
6244230534044
734035651115
oct7424412414
92545245801
101012012300
1147a288902
12242b07324
13131884960
149859720c
155dca576a
hex3c52150c

1012012300 has 72 divisors (see below), whose sum is σ = 2378754000. Its totient is φ = 371493120.

The previous prime is 1012012289. The next prime is 1012012301. The reversal of 1012012300 is 32102101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1012012301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230526 + ... + 234874.

It is an arithmetic number, because the mean of its divisors is an integer number (33038250).

Almost surely, 21012012300 is an apocalyptic number.

1012012300 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 1012012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189377000).

1012012300 is an abundant number, since it is smaller than the sum of its proper divisors (1366741700).

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

1012012300 is a wasteful number, since it uses less digits than its factorization.

1012012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555 (or 4548 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1012012300 is about 31812.1407641800. The cubic root of 1012012300 is about 1003.9881733288.

Adding to 1012012300 its reverse (32102101), we get a palindrome (1044114401).

The spelling of 1012012300 in words is "one billion, twelve million, twelve thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 179 260 325 358 650 716 895 1300 1790 2327 3580 4349 4475 4654 8698 8950 9308 11635 17396 17900 21745 23270 43490 46540 56537 58175 86980 108725 113074 116350 217450 226148 232700 282685 434900 565370 778471 1130740 1413425 1556942 2826850 3113884 3892355 5653700 7784710 10120123 15569420 19461775 20240246 38923550 40480492 50600615 77847100 101201230 202402460 253003075 506006150 1012012300