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134252200719 = 3274131925153
BaseRepresentation
bin111110100001000001…
…1100000001100001111
3110211112021012102102100
41331002003200030033
54144422030410334
6141401414330143
712461615610000
oct1750203401417
9424467172370
10134252200719
1151a3295a4aa
1222028959953
13c876b29530
1466d810d1a7
15375b304c99
hex1f420e030f

134252200719 has 120 divisors (see below), whose sum is σ = 256461128560. Its totient is φ = 67084609536.

The previous prime is 134252200703. The next prime is 134252200847. The reversal of 134252200719 is 917002252431.

134252200719 is a `hidden beast` number, since 1 + 3 + 425 + 220 + 0 + 7 + 1 + 9 = 666.

It is not a de Polignac number, because 134252200719 - 24 = 134252200703 is a prime.

It is a super-2 number, since 2×1342522007192 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134252200519) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5324847 + ... + 5349999.

Almost surely, 2134252200719 is an apocalyptic number.

134252200719 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

134252200719 is a deficient number, since it is larger than the sum of its proper divisors (122208927841).

134252200719 is a wasteful number, since it uses less digits than its factorization.

134252200719 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25219 (or 25195 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

It can be divided in two parts, 134252 and 200719, that added together give a triangular number (334971 = T818).

The spelling of 134252200719 in words is "one hundred thirty-four billion, two hundred fifty-two million, two hundred thousand, seven hundred nineteen".

Divisors: 1 3 7 9 13 19 21 39 49 57 63 91 117 133 147 171 247 273 343 399 441 637 741 819 931 1029 1197 1729 1911 2223 2401 2793 3087 4459 5187 5733 6517 7203 8379 12103 13377 15561 19551 21609 25153 31213 36309 40131 45619 58653 75459 84721 93639 108927 136857 176071 226377 254163 280917 326989 410571 477907 528213 593047 762489 980967 1232497 1433721 1584639 1779141 2288923 2942901 3345349 3697491 4301163 5337423 6212791 6866769 8627479 10036047 11092473 16022461 18638373 20600307 23417443 25882437 30108141 43489537 48067383 55915119 60392353 70252329 77647311 112157227 130468611 144202149 163922101 181177059 210756987 304426759 336471681 391405833 491766303 543531177 785100589 913280277 1009415043 1147454707 1475298909 2130987313 2355301767 2739840831 3442364121 6392961939 7065905301 10327092363 14916911191 19178885817 44750733573 134252200719