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10221354242 = 2112672972
BaseRepresentation
bin10011000010011110…
…10111110100000010
3222101100021121001122
421201033113310002
5131413131313432
64410131032242
7511203035411
oct114117276402
928340247048
1010221354242
114375762800
121b9313b682
13c6b810408
146cd703478
153ec534612
hex2613d7d02

10221354242 has 54 divisors (see below), whose sum is σ = 17286036201. Its totient is φ = 4529543040.

The previous prime is 10221354203. The next prime is 10221354271. The reversal of 10221354242 is 24245312201.

It can be written as a sum of positive squares in 2 ways, for example, as 10194738961 + 26615281 = 100969^2 + 5159^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=71489.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 105374738 + ... + 105374834.

Almost surely, 210221354242 is an apocalyptic number.

10221354242 is a deficient number, since it is larger than the sum of its proper divisors (7064681959).

10221354242 is an frugal number, since it uses more digits than its factorization.

10221354242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 10221354242 its reverse (24245312201), we get a palindrome (34466666443).

It can be divided in two parts, 10221 and 354242, that added together give a palindrome (364463).

The spelling of 10221354242 in words is "ten billion, two hundred twenty-one million, three hundred fifty-four thousand, two hundred forty-two".

Divisors: 1 2 11 22 67 97 121 134 194 242 737 1067 1474 2134 4489 6499 8107 8978 9409 11737 12998 16214 18818 23474 49379 71489 98758 103499 142978 206998 435433 543169 630403 786379 870866 1086338 1138489 1260806 1572758 2276978 4789763 6934433 9579526 13868866 42237001 52687393 76278763 84474002 105374786 152557526 464607011 929214022 5110677121 10221354242