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10030013344 = 251338961981
BaseRepresentation
bin10010101011101010…
…11101101110100000
3221220000020110200201
421111311131232200
5131020140411334
64335133554544
7503360464261
oct112565355640
927800213621
1010030013344
11428775452a
121b3b045a54
13c3ac98550
146b2136968
153da83ac14
hex255d5dba0

10030013344 has 48 divisors (see below), whose sum is σ = 21320568360. Its totient is φ = 4617262080.

The previous prime is 10030013309. The next prime is 10030013347. The reversal of 10030013344 is 44331003001.

It can be written as a sum of positive squares in 4 ways, for example, as 6037290000 + 3992723344 = 77700^2 + 63188^2 .

It is not an unprimeable number, because it can be changed into a prime (10030013347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130834 + ... + 192814.

Almost surely, 210030013344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10030013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10660284180).

10030013344 is an abundant number, since it is smaller than the sum of its proper divisors (11290555016).

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

10030013344 is a wasteful number, since it uses less digits than its factorization.

10030013344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62393 (or 62385 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 10030013344 its reverse (44331003001), we get a palindrome (54361016345).

The spelling of 10030013344 in words is "ten billion, thirty million, thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 389 416 778 1556 3112 5057 6224 10114 12448 20228 40456 61981 80912 123962 161824 247924 495848 805753 991696 1611506 1983392 3223012 6446024 12892048 24110609 25784096 48221218 96442436 192884872 313437917 385769744 626875834 771539488 1253751668 2507503336 5015006672 10030013344