Search a number
-
+
10312134140 = 2257118380677
BaseRepresentation
bin10011001101010011…
…01010110111111100
3222121200002200200002
421212221222313330
5132104401243030
64423132453432
7513354460010
oct114651526774
928550080602
1010312134140
114411a27010
121bb961a278
13c84576329
146db7b4540
154054b7245
hex266a6adfc

10312134140 has 96 divisors (see below), whose sum is σ = 27324670464. Its totient is φ = 3175407360.

The previous prime is 10312134127. The next prime is 10312134149. The reversal of 10312134140 is 4143121301.

It is a super-2 number, since 2×103121341402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312134149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87482 + ... + 168158.

It is an arithmetic number, because the mean of its divisors is an integer number (284631984).

Almost surely, 210312134140 is an apocalyptic number.

10312134140 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 10312134140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13662335232).

10312134140 is an abundant number, since it is smaller than the sum of its proper divisors (17012536324).

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

10312134140 is a wasteful number, since it uses less digits than its factorization.

10312134140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80787 (or 80785 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10312134140 its reverse (4143121301), we get a palindrome (14455255441).

The spelling of 10312134140 in words is "ten billion, three hundred twelve million, one hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 83 110 140 154 166 220 308 332 385 415 581 770 830 913 1162 1540 1660 1826 2324 2905 3652 4565 5810 6391 9130 11620 12782 18260 25564 31955 63910 80677 127820 161354 322708 403385 564739 806770 887447 1129478 1613540 1774894 2258956 2823695 3549788 4437235 5647390 6212129 6696191 8874470 11294780 12424258 13392382 17748940 24848516 26784764 31060645 33480955 46873337 62121290 66961910 73658101 93746674 124242580 133923820 147316202 187493348 234366685 294632404 368290505 468733370 515606707 736581010 937466740 1031213414 1473162020 2062426828 2578033535 5156067070 10312134140