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102022712 = 231117471451
BaseRepresentation
bin1100001010010…
…11111000111000
321002222021211222
412011023320320
5202104211322
614042411212
72346115211
oct605137070
9232867758
10102022712
11526531a0
122a200b08
13181a138c
14d79a408
158e53e42
hex614be38

102022712 has 64 divisors (see below), whose sum is σ = 225815040. Its totient is φ = 42688000.

The previous prime is 102022699. The next prime is 102022717. The reversal of 102022712 is 217220201.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69587 + ... + 71037.

It is an arithmetic number, because the mean of its divisors is an integer number (3528360).

Almost surely, 2102022712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102022712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112907520).

102022712 is an abundant number, since it is smaller than the sum of its proper divisors (123792328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102022712 is a wasteful number, since it uses less digits than its factorization.

102022712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 102022712 is about 10100.6292873266. The cubic root of 102022712 is about 467.2675493240.

Adding to 102022712 its reverse (217220201), we get a palindrome (319242913).

It can be divided in two parts, 1020 and 22712, that added together give a palindrome (23732).

The spelling of 102022712 in words is "one hundred two million, twenty-two thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 17 22 34 44 47 68 88 94 136 187 188 374 376 517 748 799 1034 1451 1496 1598 2068 2902 3196 4136 5804 6392 8789 11608 15961 17578 24667 31922 35156 49334 63844 68197 70312 98668 127688 136394 197336 271337 272788 542674 545576 750167 1085348 1159349 1500334 2170696 2318698 3000668 4637396 6001336 9274792 12752839 25505678 51011356 102022712