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106061011146 = 2334914000189
BaseRepresentation
bin110001011000110111…
…0101001100011001010
3101010202120111121111000
41202301232221203022
53214203104324041
6120420155315430
710443201501636
oct1426156514312
9333676447430
10106061011146
1140a86748522
121867b74bb76
13a00341a77c
1451c1dd1dc6
152b5b3c4bb6
hex18b1ba98ca

106061011146 has 32 divisors (see below), whose sum is σ = 236171217600. Its totient is φ = 35281658160.

The previous prime is 106061011141. The next prime is 106061011157. The reversal of 106061011146 is 641110160601.

It is a happy number.

106061011146 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 610 + 1 + 1 + 1 + 46 = 666.

It is a super-2 number, since 2×1060610111462 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106061011141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1973581 + ... + 2026608.

It is an arithmetic number, because the mean of its divisors is an integer number (7380350550).

Almost surely, 2106061011146 is an apocalyptic number.

106061011146 is an abundant number, since it is smaller than the sum of its proper divisors (130110206454).

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

106061011146 is a wasteful number, since it uses less digits than its factorization.

106061011146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4000691 (or 4000685 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 106061011146 its reverse (641110160601), we get a palindrome (747171171747).

The spelling of 106061011146 in words is "one hundred six billion, sixty-one million, eleven thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 491 982 1473 2946 4419 8838 13257 26514 4000189 8000378 12000567 24001134 36001701 72003402 108005103 216010206 1964092799 3928185598 5892278397 11784556794 17676835191 35353670382 53030505573 106061011146