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10201114231 = 711171931101131
BaseRepresentation
bin10011000000000100…
…01010011001110111
3222022221012021222121
421200002022121313
5131342441123411
64404125140411
7510536016550
oct114002123167
928287167877
1010201114231
114365299120
121b883ba707
13c67574989
146cab55327
153ea887571
hex26008a677

10201114231 has 128 divisors (see below), whose sum is σ = 14890106880. Its totient is φ = 6739200000.

The previous prime is 10201114223. The next prime is 10201114247. The reversal of 10201114231 is 13241110201.

It is a cyclic number.

It is not a de Polignac number, because 10201114231 - 23 = 10201114223 is a prime.

It is a super-2 number, since 2×102011142312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201114271) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77871036 + ... + 77871166.

It is an arithmetic number, because the mean of its divisors is an integer number (116328960).

Almost surely, 210201114231 is an apocalyptic number.

10201114231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10201114231 is a deficient number, since it is larger than the sum of its proper divisors (4688992649).

10201114231 is a wasteful number, since it uses less digits than its factorization.

10201114231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10201114231 its reverse (13241110201), we get a palindrome (23442224432).

The spelling of 10201114231 in words is "ten billion, two hundred one million, one hundred fourteen thousand, two hundred thirty-one".

Divisors: 1 7 11 17 19 31 77 101 119 131 133 187 209 217 323 341 527 589 707 917 1111 1309 1441 1463 1717 1919 2227 2261 2387 2489 3131 3553 3689 4061 4123 5797 6479 7777 10013 10087 12019 13231 13433 15589 17423 18887 21109 21917 24497 24871 27379 28427 32623 34441 40579 42313 44671 45353 53227 59489 69037 70091 77159 92617 110143 132209 145541 147763 171479 191653 224927 228361 241087 251389 296191 312697 358853 372589 410161 416423 465443 483259 540113 585497 654379 759407 771001 848749 1011313 1018787 1311703 1574489 1759723 2474197 2511971 2765279 2871127 3258101 4098479 4273613 4511771 4580653 5315849 5941243 6972737 7079191 7793059 9181921 11124443 14428733 17319379 19356953 29915291 31582397 47009743 48809159 54551413 76700107 77871101 85723649 101001131 132482003 329068201 536900749 600065543 927374021 1457302033 10201114231