Search a number
-
+
10134331140 = 22351373793253
BaseRepresentation
bin10010111000000110…
…11001111100000100
3222011021112100210210
421130003121330010
5131223342044030
64353341515420
7506065251633
oct113403317404
928137470723
1010134331140
114330624a8a
121b69b72b70
13c5679145b
146c1d2d51a
153e4a94bb0
hex25c0d9f04

10134331140 has 96 divisors (see below), whose sum is σ = 28667479680. Its totient is φ = 2674861056.

The previous prime is 10134331049. The next prime is 10134331147. The reversal of 10134331140 is 4113343101.

It is not an unprimeable number, because it can be changed into a prime (10134331147) 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, 3113754 + ... + 3117006.

It is an arithmetic number, because the mean of its divisors is an integer number (298619580).

Almost surely, 210134331140 is an apocalyptic number.

10134331140 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 10134331140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14333739840).

10134331140 is an abundant number, since it is smaller than the sum of its proper divisors (18533148540).

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

10134331140 is a wasteful number, since it uses less digits than its factorization.

10134331140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10134331140 its reverse (4113343101), we get a palindrome (14247674241).

The spelling of 10134331140 in words is "ten billion, one hundred thirty-four million, three hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 379 411 548 685 758 822 1137 1370 1516 1644 1895 2055 2274 2740 3253 3790 4110 4548 5685 6506 7580 8220 9759 11370 13012 16265 19518 22740 32530 39036 48795 51923 65060 97590 103846 155769 195180 207692 259615 311538 445661 519230 623076 778845 891322 1038460 1232887 1336983 1557690 1782644 2228305 2465774 2673966 3115380 3698661 4456610 4931548 5347932 6164435 6684915 7397322 8913220 12328870 13369830 14794644 18493305 24657740 26739660 36986610 73973220 168905519 337811038 506716557 675622076 844527595 1013433114 1689055190 2026866228 2533582785 3378110380 5067165570 10134331140