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10354124424 = 2337199309707
BaseRepresentation
bin10011010010010011…
…10110011010001000
3222201121010000111210
421221021312122020
5132201123440144
64431232453120
7514404414450
oct115111663210
928647100453
1010354124424
1144336a6a26
12200b6aa1a0
13c90188a57
147031c4d60
1540900dab9
hex269276688

10354124424 has 64 divisors (see below), whose sum is σ = 29731968000. Its totient is φ = 2943445824.

The previous prime is 10354124381. The next prime is 10354124449. The reversal of 10354124424 is 42442145301.

It is a super-3 number, since 3×103541244243 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10354124391 and 10354124400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121422 + ... + 188285.

It is an arithmetic number, because the mean of its divisors is an integer number (464562000).

Almost surely, 210354124424 is an apocalyptic number.

10354124424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10354124424 is an abundant number, since it is smaller than the sum of its proper divisors (19377843576).

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

10354124424 is a wasteful number, since it uses less digits than its factorization.

10354124424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309922 (or 309918 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 10354124424 its reverse (42442145301), we get a palindrome (52796269725).

The spelling of 10354124424 in words is "ten billion, three hundred fifty-four million, one hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 199 398 597 796 1194 1393 1592 2388 2786 4179 4776 5572 8358 11144 16716 33432 309707 619414 929121 1238828 1858242 2167949 2477656 3716484 4335898 6503847 7432968 8671796 13007694 17343592 26015388 52030776 61631693 123263386 184895079 246526772 369790158 431421851 493053544 739580316 862843702 1294265553 1479160632 1725687404 2588531106 3451374808 5177062212 10354124424