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11432210031 = 32111729241197
BaseRepresentation
bin10101010010110100…
…11010111001101111
31002111201201102221100
422221122122321233
5141403121210111
65130223534143
7553205116254
oct125132327157
932451642840
1011432210031
114937203670
12227075a353
131102635b28
147a645b42b
1546d9b6756
hex2a969ae6f

11432210031 has 144 divisors (see below), whose sum is σ = 20339006688. Its totient is φ = 6111436800.

The previous prime is 11432210021. The next prime is 11432210033. The reversal of 11432210031 is 13001223411.

It is not a de Polignac number, because 11432210031 - 29 = 11432209519 is a prime.

It is a super-2 number, since 2×114322100312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11432209986 and 11432210013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11432210033) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58031425 + ... + 58031621.

It is an arithmetic number, because the mean of its divisors is an integer number (141243102).

Almost surely, 211432210031 is an apocalyptic number.

11432210031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11432210031 is a deficient number, since it is larger than the sum of its proper divisors (8906796657).

11432210031 is a wasteful number, since it uses less digits than its factorization.

11432210031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11432210031 its reverse (13001223411), we get a palindrome (24433433442).

The spelling of 11432210031 in words is "eleven billion, four hundred thirty-two million, two hundred ten thousand, thirty-one".

Divisors: 1 3 9 11 17 29 33 41 51 87 99 123 153 187 197 261 319 369 451 493 561 591 697 841 957 1189 1353 1479 1683 1773 2091 2167 2523 2871 3349 3567 4059 4437 5423 5713 6273 6501 7569 7667 8077 9251 10047 10701 13079 14297 16269 17139 19503 20213 23001 24231 27753 30141 34481 36839 39237 42891 48807 51417 60639 62843 69003 72693 83259 88847 97121 103443 110517 117711 128673 137309 157267 165677 181917 188529 222343 234233 266541 291363 310329 331551 379291 411927 471801 497031 565587 586177 667029 702699 799623 874089 1068331 1137873 1235781 1415403 1491093 1510399 1758531 1822447 2001087 2108097 2576563 2816509 3204993 3413619 3981961 4531197 5275593 5467341 6447947 6792757 7729689 8449527 9614979 11945883 13593591 16402023 19343841 20378271 23189067 25348581 30981599 35837649 43801571 58031523 61134813 74720327 92944797 115476869 131404713 224160981 278834391 346430607 394214139 672482943 1039291821 1270245559 3810736677 11432210031