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10354421010 = 2354734721163
BaseRepresentation
bin10011010010010101…
…11110110100010010
3222201121200002100110
421221022332310102
5132201212433020
64431243102150
7514410061233
oct115112766422
928647602313
1010354421010
11443388983a
12200b811956
13c90260a4b
1470326108a
1540906b8e0
hex2692bed12

10354421010 has 64 divisors (see below), whose sum is σ = 25453688832. Its totient is φ = 2694515136.

The previous prime is 10354421003. The next prime is 10354421023. The reversal of 10354421010 is 1012445301.

10354421010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×103544210103 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478689 + ... + 499851.

It is an arithmetic number, because the mean of its divisors is an integer number (397713888).

Almost surely, 210354421010 is an apocalyptic number.

10354421010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10354421010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12726844416).

10354421010 is an abundant number, since it is smaller than the sum of its proper divisors (15099267822).

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

10354421010 is a wasteful number, since it uses less digits than its factorization.

10354421010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21567.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10354421010 its reverse (1012445301), we get a palindrome (11366866311).

The spelling of 10354421010 in words is "ten billion, three hundred fifty-four million, four hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 347 470 694 705 1041 1410 1735 2082 3470 5205 10410 16309 21163 32618 42326 48927 63489 81545 97854 105815 126978 163090 211630 244635 317445 489270 634890 994661 1989322 2983983 4973305 5967966 7343561 9946610 14687122 14919915 22030683 29839830 36717805 44061366 73435610 110153415 220306830 345147367 690294734 1035442101 1725736835 2070884202 3451473670 5177210505 10354421010