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10102323231 = 32711133730307
BaseRepresentation
bin10010110100010010…
…10011100000011111
3222002001022012012200
421122021103200133
5131142143320411
64350235502543
7505226221260
oct113211234037
928061265180
1010102323231
114314552a70
121b5b2b7a53
13c4cc65570
146bb99a967
153e1d70e56
hex25a25381f

10102323231 has 96 divisors (see below), whose sum is σ = 20122572288. Its totient is φ = 4713189120.

The previous prime is 10102323229. The next prime is 10102323241. The reversal of 10102323231 is 13232320101.

10102323231 is a `hidden beast` number, since 10 + 102 + 323 + 231 = 666.

It is not a de Polignac number, because 10102323231 - 21 = 10102323229 is a prime.

It is a super-2 number, since 2×101023232312 (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 (10102323241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 318180 + ... + 348486.

It is an arithmetic number, because the mean of its divisors is an integer number (209610128).

Almost surely, 210102323231 is an apocalyptic number.

10102323231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10102323231 is a deficient number, since it is larger than the sum of its proper divisors (10020249057).

10102323231 is a wasteful number, since it uses less digits than its factorization.

10102323231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30381 (or 30378 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10102323231 its reverse (13232320101), we get a palindrome (23334643332).

It can be divided in two parts, 10102 and 323231, that added together give a palindrome (333333).

The spelling of 10102323231 in words is "ten billion, one hundred two million, three hundred twenty-three thousand, two hundred thirty-one".

Divisors: 1 3 7 9 11 13 21 33 37 39 63 77 91 99 111 117 143 231 259 273 333 407 429 481 693 777 819 1001 1221 1287 1443 2331 2849 3003 3367 3663 4329 5291 8547 9009 10101 15873 25641 30303 30307 37037 47619 90921 111111 212149 272763 333333 333377 393991 636447 1000131 1121359 1181973 1909341 2333639 2757937 3000393 3364077 3545919 4333901 7000917 7849513 8273811 10092231 12334949 13001703 14577667 21002751 23548539 24821433 30337307 37004847 39005109 43733001 70645617 86344643 91011921 102043669 111014541 131199003 160354337 259033929 273035763 306131007 481063011 777101787 918393021 1122480359 1443189033 3367441077 10102323231