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102233131 = 71113414753
BaseRepresentation
bin1100001011111…
…11010000101011
321010100222111021
412011333100223
5202132430011
614051113311
72350652530
oct605772053
9233328437
10102233131
11527872a0
122a2a2837
13182460a0
14d812d87
158e96471
hex617f42b

102233131 has 64 divisors (see below), whose sum is σ = 146313216. Its totient is φ = 68889600.

The previous prime is 102233077. The next prime is 102233179. The reversal of 102233131 is 131332201.

It is not a de Polignac number, because 102233131 - 29 = 102232619 is a prime.

It is a super-2 number, since 2×1022331312 = 20903226148126322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102233531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1928901 + ... + 1928953.

It is an arithmetic number, because the mean of its divisors is an integer number (2286144).

Almost surely, 2102233131 is an apocalyptic number.

102233131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102233131 is a deficient number, since it is larger than the sum of its proper divisors (44080085).

102233131 is a wasteful number, since it uses less digits than its factorization.

102233131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 102233131 is about 10111.0400553059. The cubic root of 102233131 is about 467.5885708248.

Adding to 102233131 its reverse (131332201), we get a palindrome (233565332).

The spelling of 102233131 in words is "one hundred two million, two hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 7 11 13 41 47 53 77 91 143 287 329 371 451 517 533 583 611 689 1001 1927 2173 2491 3157 3619 3731 4081 4277 4823 5863 6721 7579 13489 15211 17437 21197 23903 25051 27401 28249 32383 41041 47047 53053 102131 148379 167321 175357 191807 197743 226681 275561 310739 356213 714917 1123441 1327703 1928927 2175173 2493491 7864087 9293921 14604733 102233131