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434201103219 = 313831087123401
BaseRepresentation
bin1100101000110000110…
…01110000101101110011
31112111202012222102120110
412110120121300231303
524103220440300334
6531245204312403
743240623324132
oct6243031605563
91474665872513
10434201103219
11158164226464
12701990a2703
1331c391a7320
141703054d919
15b46426dae9
hex6518670b73

434201103219 has 32 divisors (see below), whose sum is σ = 631565512704. Its totient is φ = 263736403200.

The previous prime is 434201103199. The next prime is 434201103223. The reversal of 434201103219 is 912301102434.

It is not a de Polignac number, because 434201103219 - 28 = 434201102963 is a prime.

It is a super-2 number, since 2×4342011032192 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (434201103229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3456919 + ... + 3580319.

It is an arithmetic number, because the mean of its divisors is an integer number (19736422272).

Almost surely, 2434201103219 is an apocalyptic number.

434201103219 is a deficient number, since it is larger than the sum of its proper divisors (197364409485).

434201103219 is a wasteful number, since it uses less digits than its factorization.

434201103219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124587.

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 434201103219 in words is "four hundred thirty-four billion, two hundred one million, one hundred three thousand, two hundred nineteen".

Divisors: 1 3 13 39 83 249 1079 1087 3237 3261 14131 42393 90221 123401 270663 370203 1172873 1604213 3518619 4812639 10242283 30726849 133149679 134136887 399449037 402410661 1743779531 5231338593 11133361621 33400084863 144733701073 434201103219