Search a number
-
+
10031321340 = 2233524177081
BaseRepresentation
bin10010101011110100…
…11101000011111100
3221220002200220221000
421111322131003330
5131021004240330
64335222010300
7503404552545
oct112572350374
927802626830
1010031321340
114288468217
121b3b576990
13c3b335a01
146b23974cc
153da9e8560
hex255e9d0fc

10031321340 has 96 divisors (see below), whose sum is σ = 31338457920. Its totient is φ = 2663884800.

The previous prime is 10031321327. The next prime is 10031321347. The reversal of 10031321340 is 4312313001.

10031321340 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 1 + 321 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031321347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91600 + ... + 168680.

It is an arithmetic number, because the mean of its divisors is an integer number (326442270).

Almost surely, 210031321340 is an apocalyptic number.

10031321340 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 10031321340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15669228960).

10031321340 is an abundant number, since it is smaller than the sum of its proper divisors (21307136580).

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

10031321340 is a wasteful number, since it uses less digits than its factorization.

10031321340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77340 (or 77332 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10031321340 its reverse (4312313001), we get a palindrome (14343634341).

The spelling of 10031321340 in words is "ten billion, thirty-one million, three hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 241 270 482 540 723 964 1205 1446 2169 2410 2892 3615 4338 4820 6507 7230 8676 10845 13014 14460 21690 26028 32535 43380 65070 77081 130140 154162 231243 308324 385405 462486 693729 770810 924972 1156215 1387458 1541620 2081187 2312430 2774916 3468645 4162374 4624860 6937290 8324748 10405935 13874580 18576521 20811870 37153042 41623740 55729563 74306084 92882605 111459126 167188689 185765210 222918252 278647815 334377378 371530420 501566067 557295630 668754756 835943445 1003132134 1114591260 1671886890 2006264268 2507830335 3343773780 5015660670 10031321340