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105402412420 = 22531712394421
BaseRepresentation
bin110001000101001111…
…0010010110110000100
3101002001200020022212121
41202022132102312010
53211331004144140
6120230551255324
710420653503014
oct1421236226604
9332050208777
10105402412420
1140778a06558
121851707a544
139c29b45996
14515c753c44
152b1d67e64a
hex188a792d84

105402412420 has 48 divisors (see below), whose sum is σ = 231703428096. Its totient is φ = 40226256000.

The previous prime is 105402412411. The next prime is 105402412433. The reversal of 105402412420 is 24214204501.

It is a super-2 number, since 2×1054024124202 (a number of 23 digits) contains 22 as substring.

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, 1153191 + ... + 1241230.

It is an arithmetic number, because the mean of its divisors is an integer number (4827154752).

Almost surely, 2105402412420 is an apocalyptic number.

105402412420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105402412420 is an abundant number, since it is smaller than the sum of its proper divisors (126301015676).

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

105402412420 is a wasteful number, since it uses less digits than its factorization.

105402412420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394532 (or 2394530 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 105402412420 its reverse (24214204501), we get a palindrome (129616616921).

The spelling of 105402412420 in words is "one hundred five billion, four hundred two million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 71 124 142 155 284 310 355 620 710 1420 2201 4402 8804 11005 22010 44020 2394421 4788842 9577684 11972105 23944210 47888420 74227051 148454102 170003891 296908204 340007782 371135255 680015564 742270510 850019455 1484541020 1700038910 3400077820 5270120621 10540241242 21080482484 26350603105 52701206210 105402412420