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106612002 = 23271944533
BaseRepresentation
bin1100101101011…
…00010100100010
321102121110011200
412112230110202
5204243041002
614325022030
72433121110
oct626542442
9242543150
10106612002
11551a81a2
122b854916
131911a233
1410232ab0
15955db1c
hex65ac522

106612002 has 48 divisors (see below), whose sum is σ = 277892160. Its totient is φ = 28856736.

The previous prime is 106611971. The next prime is 106612019. The reversal of 106612002 is 200216601.

It is a happy number.

106612002 is a `hidden beast` number, since 1 + 0 + 661 + 2 + 0 + 0 + 2 = 666.

It is a super-2 number, since 2×1066120022 = 22732237940896008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19873 + ... + 24660.

It is an arithmetic number, because the mean of its divisors is an integer number (5789420).

Almost surely, 2106612002 is an apocalyptic number.

106612002 is an abundant number, since it is smaller than the sum of its proper divisors (171280158).

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

106612002 is a wasteful number, since it uses less digits than its factorization.

106612002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44567 (or 44564 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106612002 is about 10325.3088089413. The cubic root of 106612002 is about 474.1714115940.

Adding to 106612002 its reverse (200216601), we get a palindrome (306828603).

The spelling of 106612002 in words is "one hundred six million, six hundred twelve thousand, two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 44533 89066 133599 267198 311731 400797 623462 801594 846127 935193 1692254 1870386 2538381 2805579 5076762 5611158 5922889 7615143 11845778 15230286 17768667 35537334 53306001 106612002