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102233021 = 1121137477
BaseRepresentation
bin1100001011111…
…11001110111101
321010100222100012
412011333032331
5202132424041
614051113005
72350652312
oct605771675
9233328305
10102233021
1152787200
122a2a2765
1318246017
14d812d09
158e963eb
hex617f3bd

102233021 has 12 divisors (see below), whose sum is σ = 113381436. Its totient is φ = 92104320.

The previous prime is 102232993. The next prime is 102233023. The reversal of 102233021 is 120332201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 47265625 + 54967396 = 6875^2 + 7414^2 .

It is not a de Polignac number, because 102233021 - 26 = 102232957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102232987 and 102233005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102233023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9935 + ... + 17411.

It is an arithmetic number, because the mean of its divisors is an integer number (9448453).

Almost surely, 2102233021 is an apocalyptic number.

102233021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102233021 is a deficient number, since it is larger than the sum of its proper divisors (11148415).

102233021 is a wasteful number, since it uses less digits than its factorization.

102233021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7612 (or 7601 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 102233021 is about 10111.0346157058. The cubic root of 102233021 is about 467.5884031207.

Adding to 102233021 its reverse (120332201), we get a palindrome (222565222).

It can be divided in two parts, 1022 and 33021, that added together give a palindrome (34043).

The spelling of 102233021 in words is "one hundred two million, two hundred thirty-three thousand, twenty-one".

Divisors: 1 11 113 121 1243 7477 13673 82247 844901 904717 9293911 102233021