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10230011424 = 253319760103
BaseRepresentation
bin10011000011100000…
…11001011000100000
3222101221120102111000
421201300121120200
5131422340331144
64411040352000
7511336443123
oct114160313040
928357512430
1010230011424
11437a635aa6
121b96015600
13c705519c9
146d09183ba
153ed194769
hex261c19620

10230011424 has 96 divisors (see below), whose sum is σ = 29989491840. Its totient is φ = 3392637696.

The previous prime is 10230011423. The next prime is 10230011471. The reversal of 10230011424 is 42411003201.

10230011424 is a `hidden beast` number, since 1 + 0 + 230 + 0 + 11 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10230011397 and 10230011406.

It is not an unprimeable number, because it can be changed into a prime (10230011423) 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, 140157 + ... + 200259.

It is an arithmetic number, because the mean of its divisors is an integer number (312390540).

Almost surely, 210230011424 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 10230011424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14994745920).

10230011424 is an abundant number, since it is smaller than the sum of its proper divisors (19759480416).

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

10230011424 is a wasteful number, since it uses less digits than its factorization.

10230011424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60319 (or 60305 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10230011424 its reverse (42411003201), we get a palindrome (52641014625).

The spelling of 10230011424 in words is "ten billion, two hundred thirty million, eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 197 216 288 394 432 591 788 864 1182 1576 1773 2364 3152 3546 4728 5319 6304 7092 9456 10638 14184 18912 21276 28368 42552 56736 60103 85104 120206 170208 180309 240412 360618 480824 540927 721236 961648 1081854 1442472 1622781 1923296 2163708 2884944 3245562 4327416 5769888 6491124 8654832 11840291 12982248 17309664 23680582 25964496 35520873 47361164 51928992 71041746 94722328 106562619 142083492 189444656 213125238 284166984 319687857 378889312 426250476 568333968 639375714 852500952 1136667936 1278751428 1705001904 2557502856 3410003808 5115005712 10230011424