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102101012 = 22132732069
BaseRepresentation
bin1100001010111…
…11000000010100
321010010021020222
412011133000110
5202114213022
614044213512
72346562406
oct605370024
9233107228
10102101012
11526a7002
122a23a298
13181cac00
14d7bab76
158e6c242
hex615f014

102101012 has 36 divisors (see below), whose sum is σ = 196223580. Its totient is φ = 46455552.

The previous prime is 102100991. The next prime is 102101033. The reversal of 102101012 is 210101201.

It is an interprime number because it is at equal distance from previous prime (102100991) and next prime (102101033).

It can be written as a sum of positive squares in 6 ways, for example, as 27520516 + 74580496 = 5246^2 + 8636^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48314 + ... + 50382.

It is an arithmetic number, because the mean of its divisors is an integer number (5450655).

Almost surely, 2102101012 is an apocalyptic number.

It is an amenable number.

102101012 is a deficient number, since it is larger than the sum of its proper divisors (94122568).

102101012 is a wasteful number, since it uses less digits than its factorization.

102101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 102101012 is about 10104.5045400554. The cubic root of 102101012 is about 467.3870576586.

Adding to 102101012 its reverse (210101201), we get a palindrome (312202213).

The spelling of 102101012 in words is "one hundred two million, one hundred one thousand, twelve".

Divisors: 1 2 4 13 26 52 73 146 169 292 338 676 949 1898 2069 3796 4138 8276 12337 24674 26897 49348 53794 107588 151037 302074 349661 604148 699322 1398644 1963481 3926962 7853924 25525253 51050506 102101012