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10031140340 = 2251327937567
BaseRepresentation
bin10010101011110011…
…10000110111110100
3221220002100201122022
421111321300313310
5131020432442330
64335214052312
7503403200054
oct112571606764
927802321568
1010031140340
114288354231
121b3b4aa098
13c3b2a1500
146b234b564
153da9aeae5
hex255e70df4

10031140340 has 72 divisors (see below), whose sum is σ = 23099811840. Its totient is φ = 3656824704.

The previous prime is 10031140333. The next prime is 10031140369. The reversal of 10031140340 is 4304113001.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 248237 + ... + 285803.

It is an arithmetic number, because the mean of its divisors is an integer number (320830720).

Almost surely, 210031140340 is an apocalyptic number.

10031140340 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 10031140340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11549905920).

10031140340 is an abundant number, since it is smaller than the sum of its proper divisors (13068671500).

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

10031140340 is a wasteful number, since it uses less digits than its factorization.

10031140340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37681 (or 37666 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10031140340 its reverse (4304113001), we get a palindrome (14335253341).

The spelling of 10031140340 in words is "ten billion, thirty-one million, one hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 130 158 169 260 316 338 395 676 790 845 1027 1580 1690 2054 3380 4108 5135 10270 13351 20540 26702 37567 53404 66755 75134 133510 150268 187835 267020 375670 488371 751340 976742 1953484 2441855 2967793 4883710 5935586 6348823 9767420 11871172 12697646 14838965 25395292 29677930 31744115 38581309 59355860 63488230 77162618 126976460 154325236 192906545 385813090 501557017 771626180 1003114034 2006228068 2507785085 5015570170 10031140340