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10235013340 = 2252347946451
BaseRepresentation
bin10011000100000110…
…11110100011011100
3222102021222112211011
421202003132203130
5131430130411330
64411335505004
7511430115016
oct114203364334
928367875734
1010235013340
114382442012
121b97828164
13c715b3616
146d145b1b6
153ed83182a
hex2620de8dc

10235013340 has 48 divisors (see below), whose sum is σ = 22475335680. Its totient is φ = 3907745600.

The previous prime is 10235013329. The next prime is 10235013343. The reversal of 10235013340 is 4331053201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10235013343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197115 + ... + 243565.

It is an arithmetic number, because the mean of its divisors is an integer number (468236160).

Almost surely, 210235013340 is an apocalyptic number.

10235013340 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 10235013340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11237667840).

10235013340 is an abundant number, since it is smaller than the sum of its proper divisors (12240322340).

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

10235013340 is a wasteful number, since it uses less digits than its factorization.

10235013340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46962 (or 46960 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 10235013340 its reverse (4331053201), we get a palindrome (14566066541).

The spelling of 10235013340 in words is "ten billion, two hundred thirty-five million, thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 479 958 1916 2395 4790 9580 11017 22034 44068 46451 55085 92902 110170 185804 220340 232255 464510 929020 1068373 2136746 4273492 5341865 10683730 21367460 22250029 44500058 89000116 111250145 222500290 445000580 511750667 1023501334 2047002668 2558753335 5117506670 10235013340