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10310020032 = 263136761651
BaseRepresentation
bin10011001101000011…
…00110101111000000
3222121112010021122210
421212201212233000
5132103331120112
64423015302120
7513330503304
oct114641465700
928545107583
1010310020032
114410812714
121bb897a940
13c83cb5c90
146db3c3d04
154051eab3c
hex266866bc0

10310020032 has 112 divisors (see below), whose sum is σ = 29815893632. Its totient is φ = 3124915200.

The previous prime is 10310020013. The next prime is 10310020037. The reversal of 10310020032 is 23002001301.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10310020037) 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, 136407 + ... + 198057.

It is an arithmetic number, because the mean of its divisors is an integer number (266213336).

Almost surely, 210310020032 is an apocalyptic number.

10310020032 is a gapful number since it is divisible by the number (12) 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 10310020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14907946816).

10310020032 is an abundant number, since it is smaller than the sum of its proper divisors (19505873600).

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

10310020032 is a wasteful number, since it uses less digits than its factorization.

10310020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61746 (or 61736 counting only the distinct ones).

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

Adding to 10310020032 its reverse (23002001301), we get a palindrome (33312021333).

The spelling of 10310020032 in words is "ten billion, three hundred ten million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 67 78 96 104 134 156 192 201 208 268 312 402 416 536 624 804 832 871 1072 1248 1608 1742 2144 2496 2613 3216 3484 4288 5226 6432 6968 10452 12864 13936 20904 27872 41808 55744 61651 83616 123302 167232 184953 246604 369906 493208 739812 801463 986416 1479624 1602926 1972832 2404389 2959248 3205852 3945664 4130617 4808778 5918496 6411704 8261234 9617556 11836992 12391851 12823408 16522468 19235112 24783702 25646816 33044936 38470224 49567404 51293632 53698021 66089872 76940448 99134808 107396042 132179744 153880896 161094063 198269616 214792084 264359488 322188126 396539232 429584168 644376252 793078464 859168336 1288752504 1718336672 2577505008 3436673344 5155010016 10310020032