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10424102312 = 2313433496679
BaseRepresentation
bin10011011010101001…
…10010110110101000
3222220110210021010102
421231110302312220
5132322032233222
64442212404532
7516214256561
oct115524626650
928813707112
1010424102312
11446a152398
12202b016748
13ca181a4a0
1470c5dd168
15410232d92
hex26d532da8

10424102312 has 64 divisors (see below), whose sum is σ = 21603120000. Its totient is φ = 4685071104.

The previous prime is 10424102291. The next prime is 10424102321. The reversal of 10424102312 is 21320142401.

10424102312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104241023122 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1557389 + ... + 1564067.

It is an arithmetic number, because the mean of its divisors is an integer number (337548750).

Almost surely, 210424102312 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 10424102312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10801560000).

10424102312 is an abundant number, since it is smaller than the sum of its proper divisors (11179017688).

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

10424102312 is a wasteful number, since it uses less digits than its factorization.

10424102312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7090 (or 7086 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10424102312 its reverse (21320142401), we get a palindrome (31744244713).

The spelling of 10424102312 in words is "ten billion, four hundred twenty-four million, one hundred two thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 43 52 86 104 172 344 349 559 698 1118 1396 2236 2792 4472 4537 6679 9074 13358 15007 18148 26716 30014 36296 53432 60028 86827 120056 173654 195091 287197 347308 390182 574394 694616 780364 1148788 1560728 2297576 2330971 3733561 4661942 7467122 9323884 14934244 18647768 29868488 30302623 60605246 100231753 121210492 200463506 242420984 400927012 801854024 1303012789 2606025578 5212051156 10424102312