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10031424024 = 2335928325033
BaseRepresentation
bin10010101011110101…
…10110001000011000
3221220002220010210010
421111322312020120
5131021021032044
64335224121520
7503405461116
oct112572661030
927802803703
1010031424024
114288528386
121b3b6062a0
13c3b37067b
146b23c2ab6
153daa18bb9
hex255eb6218

10031424024 has 64 divisors (see below), whose sum is σ = 25594761600. Its totient is φ = 3275387136.

The previous prime is 10031424023. The next prime is 10031424059. The reversal of 10031424024 is 42042413001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031424023) 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, 388212 + ... + 413244.

It is an arithmetic number, because the mean of its divisors is an integer number (399918150).

Almost surely, 210031424024 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 10031424024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12797380800).

10031424024 is an abundant number, since it is smaller than the sum of its proper divisors (15563337576).

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

10031424024 is a wasteful number, since it uses less digits than its factorization.

10031424024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25384 (or 25380 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10031424024 its reverse (42042413001), we get a palindrome (52073837025).

The spelling of 10031424024 in words is "ten billion, thirty-one million, four hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 283 354 472 566 708 849 1132 1416 1698 2264 3396 6792 16697 25033 33394 50066 50091 66788 75099 100132 100182 133576 150198 200264 200364 300396 400728 600792 1476947 2953894 4430841 5907788 7084339 8861682 11815576 14168678 17723364 21253017 28337356 35446728 42506034 56674712 85012068 170024136 417976001 835952002 1253928003 1671904004 2507856006 3343808008 5015712012 10031424024