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101060060004 = 223217165130817
BaseRepresentation
bin101111000011110100…
…1100010001101100100
3100122212001022222012100
41132013221202031210
53123432333410004
6114232031452100
710205235223311
oct1360751421544
9318761288170
10101060060004
113994a850952
1217704987030
1396b7317c97
144c69b63d08
152967331739
hex1787a62364

101060060004 has 36 divisors (see below), whose sum is σ = 270484279884. Its totient is φ = 31705116672.

The previous prime is 101060059999. The next prime is 101060060009. The reversal of 101060060004 is 400060060101.

101060060004 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 60 + 0 + 600 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (101060059999) and next prime (101060060009).

It can be written as a sum of positive squares in 2 ways, for example, as 78932902500 + 22127157504 = 280950^2 + 148752^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (101060060009) 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, 82564797 + ... + 82566020.

It is an arithmetic number, because the mean of its divisors is an integer number (7513452219).

Almost surely, 2101060060004 is an apocalyptic number.

It is an amenable number.

101060060004 is an abundant number, since it is smaller than the sum of its proper divisors (169424219880).

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

101060060004 is a wasteful number, since it uses less digits than its factorization.

101060060004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165130844 (or 165130839 counting only the distinct ones).

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

The spelling of 101060060004 in words is "one hundred one billion, sixty million, sixty thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 165130817 330261634 495392451 660523268 990784902 1486177353 1981569804 2807223889 2972354706 5614447778 5944709412 8421671667 11228895556 16843343334 25265015001 33686686668 50530030002 101060060004