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1106056060038 = 23259611131391087
BaseRepresentation
bin10000000110000110000…
…101000001110010000110
310220201220221121111022200
4100012012011001302012
5121110200322410123
62204040511535330
7142624046250156
oct20060605016206
93821827544280
101106056060038
113970918a1596
1215a43bb2a546
13803ba671857
143b76790a766
151db874ae143
hex10186141c86

1106056060038 has 192 divisors, whose sum is σ = 2519238758400. Its totient is φ = 350475310080.

The previous prime is 1106056060037. The next prime is 1106056060049. The reversal of 1106056060038 is 8300606506011.

It is a happy number.

1106056060038 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 0 + 560 + 60 + 0 + 38 = 666.

It is a super-2 number, since 2×11060560600382 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1106056059984 and 1106056060011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106056060037) 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 95 ways as a sum of consecutive naturals, for example, 1017530331 + ... + 1017531417.

It is an arithmetic number, because the mean of its divisors is an integer number (13121035200).

Almost surely, 21106056060038 is an apocalyptic number.

1106056060038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1106056060038 is an abundant number, since it is smaller than the sum of its proper divisors (1413182698362).

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

1106056060038 is a wasteful number, since it uses less digits than its factorization.

1106056060038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1106056060038 in words is "one trillion, one hundred six billion, fifty-six million, sixty thousand, thirty-eight".