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10010230320 = 243567761609
BaseRepresentation
bin10010101001010011…
…11111111000110000
3221211122000101111010
421110221333320300
5131000104332240
64333145550520
7503030360646
oct112451777060
927748011433
1010010230320
114277572222
121b344a5440
13c36b5cb0c
146ad667196
153d8c2e280
hex254a7fe30

10010230320 has 80 divisors (see below), whose sum is σ = 31078055520. Its totient is φ = 2665408512.

The previous prime is 10010230301. The next prime is 10010230327. The reversal of 10010230320 is 2303201001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×100102303202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10010230296 and 10010230305.

It is not an unprimeable number, because it can be changed into a prime (10010230327) 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, 131676 + ... + 193284.

It is an arithmetic number, because the mean of its divisors is an integer number (388475694).

Almost surely, 210010230320 is an apocalyptic number.

10010230320 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 10010230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15539027760).

10010230320 is an abundant number, since it is smaller than the sum of its proper divisors (21067825200).

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

10010230320 is a wasteful number, since it uses less digits than its factorization.

10010230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62302 (or 62296 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10010230320 its reverse (2303201001), we get a palindrome (12313431321).

The spelling of 10010230320 in words is "ten billion, ten million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 677 1354 2031 2708 3385 4062 5416 6770 8124 10155 10832 13540 16248 20310 27080 32496 40620 54160 61609 81240 123218 162480 184827 246436 308045 369654 492872 616090 739308 924135 985744 1232180 1478616 1848270 2464360 2957232 3696540 4928720 7393080 14786160 41709293 83418586 125127879 166837172 208546465 250255758 333674344 417092930 500511516 625639395 667348688 834185860 1001023032 1251278790 1668371720 2002046064 2502557580 3336743440 5005115160 10010230320