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10030343024 = 2413371319949
BaseRepresentation
bin10010101011101101…
…01110001101110000
3221220000212012221002
421111312232031300
5131020231434044
64335145021132
7503363336402
oct112566561560
927800765832
1010030343024
11428795a199
121b3b1847a8
13c3b082620
146b21c0b72
153da8a374e
hex255dae370

10030343024 has 80 divisors (see below), whose sum is σ = 21660592800. Its totient is φ = 4469437440.

The previous prime is 10030343021. The next prime is 10030343083. The reversal of 10030343024 is 42034303001.

It is a junction number, because it is equal to n+sod(n) for n = 10030342987 and 10030343005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10030343021) 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, 1003202 + ... + 1013150.

It is an arithmetic number, because the mean of its divisors is an integer number (270757410).

Almost surely, 210030343024 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 10030343024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10830296400).

10030343024 is an abundant number, since it is smaller than the sum of its proper divisors (11630249776).

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

10030343024 is a wasteful number, since it uses less digits than its factorization.

10030343024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10138 (or 10132 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 10030343024 its reverse (42034303001), we get a palindrome (52064646025).

The spelling of 10030343024 in words is "ten billion, thirty million, three hundred forty-three thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 131 148 208 262 296 481 524 592 962 1048 1703 1924 2096 3406 3848 4847 6812 7696 9694 9949 13624 19388 19898 27248 38776 39796 63011 77552 79592 126022 129337 159184 252044 258674 368113 504088 517348 736226 1008176 1034696 1303319 1472452 2069392 2606638 2944904 4785469 5213276 5889808 9570938 10426552 16943147 19141876 20853104 33886294 38283752 48222803 67772588 76567504 96445606 135545176 192891212 271090352 385782424 626896439 771564848 1253792878 2507585756 5015171512 10030343024