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10405222120 = 235402164693
BaseRepresentation
bin10011011000011001…
…10001011011101000
3222212011021001101001
421230030301123220
5132302214101440
64440300004344
7515564633356
oct115414613350
928764231331
1010405222120
11445a527427
1220248306b4
13c9a939987
14709cc67d6
1540d753b9a
hex26c3316e8

10405222120 has 32 divisors (see below), whose sum is σ = 23417934120. Its totient is φ = 4160989440.

The previous prime is 10405222109. The next prime is 10405222133. The reversal of 10405222120 is 2122250401.

It can be written as a sum of positive squares in 4 ways, for example, as 5536252836 + 4868969284 = 74406^2 + 69778^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128494 + ... + 193186.

Almost surely, 210405222120 is an apocalyptic number.

10405222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10405222120 is an abundant number, since it is smaller than the sum of its proper divisors (13012712000).

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

10405222120 is a wasteful number, since it uses less digits than its factorization.

10405222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68725 (or 68721 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 10405222120 its reverse (2122250401), we get a palindrome (12527472521).

The spelling of 10405222120 in words is "ten billion, four hundred five million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 4021 8042 16084 20105 32168 40210 64693 80420 129386 160840 258772 323465 517544 646930 1293860 2587720 260130553 520261106 1040522212 1300652765 2081044424 2601305530 5202611060 10405222120