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10103420432 = 2472915532003
BaseRepresentation
bin10010110100011010…
…11111011000010000
3222002010100221021202
421122031133120100
5131142433423212
64350315210332
7505241441150
oct113215373020
928063327252
1010103420432
114315132346
121b5b7469a8
13c5025aab1
146bbba4760
153e1edb0c2
hex25a35f610

10103420432 has 80 divisors (see below), whose sum is σ = 23169767040. Its totient is φ = 4175947776.

The previous prime is 10103420417. The next prime is 10103420447. The reversal of 10103420432 is 23402430101.

It is an interprime number because it is at equal distance from previous prime (10103420417) and next prime (10103420447).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5043143 + ... + 5045145.

It is an arithmetic number, because the mean of its divisors is an integer number (289622088).

Almost surely, 210103420432 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 10103420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11584883520).

10103420432 is an abundant number, since it is smaller than the sum of its proper divisors (13066346608).

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

10103420432 is a wasteful number, since it uses less digits than its factorization.

10103420432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10103420432 its reverse (23402430101), we get a palindrome (33505850533).

The spelling of 10103420432 in words is "ten billion, one hundred three million, four hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1553 1624 2003 3106 3248 4006 6212 8012 10871 12424 14021 16024 21742 24848 28042 32048 43484 45037 56084 58087 86968 90074 112168 116174 173936 180148 224336 232348 315259 360296 406609 464696 630518 720592 813218 929392 1261036 1626436 2522072 3110659 3252872 5044144 6221318 6505744 12442636 21774613 24885272 43549226 49770544 87098452 90209111 174196904 180418222 348393808 360836444 631463777 721672888 1262927554 1443345776 2525855108 5051710216 10103420432