Search a number
-
+
203426430361 = 7112371103113139
BaseRepresentation
bin1011110101110100101…
…0001111110110011001
3201110002010201101022121
42331131022033312121
511313104131232421
6233241450221241
720461045061620
oct2753512176631
9643063641277
10203426430361
11792aaa0a030
1233513124821
131624c16a26b
149bbb1ac6b7
15545919cd41
hex2f5d28fd99

203426430361 has 128 divisors (see below), whose sum is σ = 275347537920. Its totient is φ = 145669708800.

The previous prime is 203426430349. The next prime is 203426430367. The reversal of 203426430361 is 163034624302.

It is not a de Polignac number, because 203426430361 - 25 = 203426430329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (203426430367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1463499430 + ... + 1463499568.

It is an arithmetic number, because the mean of its divisors is an integer number (2151152640).

Almost surely, 2203426430361 is an apocalyptic number.

It is an amenable number.

203426430361 is a deficient number, since it is larger than the sum of its proper divisors (71921107559).

203426430361 is a wasteful number, since it uses less digits than its factorization.

203426430361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467.

The product of its (nonzero) digits is 62208, while the sum is 34.

The spelling of 203426430361 in words is "two hundred three billion, four hundred twenty-six million, four hundred thirty thousand, three hundred sixty-one".

Divisors: 1 7 11 23 71 77 103 113 139 161 253 497 721 781 791 973 1133 1243 1529 1633 1771 2369 2599 3197 5467 7313 7931 8023 8701 9869 10703 11431 11639 14317 15707 16583 17963 18193 22379 26059 28589 35167 51191 56161 69083 80443 81473 88253 100219 108559 109949 125741 128029 157487 168199 172777 182413 184529 200123 226987 246169 267697 329291 361261 563101 617771 759913 826369 896203 1016507 1102409 1115197 1177393 1209439 1291703 1588909 1617821 1850189 1873879 2029819 2305037 2496857 2528827 2944667 3622201 3973871 5784583 7115549 7806379 9090059 11181577 11324747 12267167 12951323 14208733 17477999 17796031 19006487 20612669 23379661 25355407 25649531 27817097 37209883 63630413 78271039 85870169 114865291 124572217 133045409 163657627 179546717 209071357 257176271 260469181 282144841 409308713 804057037 1263518201 1463499499 1800233897 1975013887 2641901693 2865160991 8844627407 18493311851 29060918623 203426430361