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1007112112026 = 23592844949469
BaseRepresentation
bin11101010011111001000…
…11110100011110011010
310120021112101010011001120
432221330203310132122
5113000031200041101
62050354431430110
7132522114464346
oct16517443643632
93507471104046
101007112112026
11359128593a29
12143227985336
1373c7c896257
1436a5cc28626
151b2e5d28b36
hexea7c8f479a

1007112112026 has 16 divisors (see below), whose sum is σ = 2048363618400. Its totient is φ = 330014138288.

The previous prime is 1007112111991. The next prime is 1007112112037. The reversal of 1007112112026 is 6202112117001.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1007112111987 and 1007112112005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1422474381 + ... + 1422475088.

It is an arithmetic number, because the mean of its divisors is an integer number (128022726150).

Almost surely, 21007112112026 is an apocalyptic number.

1007112112026 is an abundant number, since it is smaller than the sum of its proper divisors (1041251506374).

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

1007112112026 is a wasteful number, since it uses less digits than its factorization.

1007112112026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844949533.

The product of its (nonzero) digits is 336, while the sum is 24.

Adding to 1007112112026 its reverse (6202112117001), we get a palindrome (7209224229027).

The spelling of 1007112112026 in words is "one trillion, seven billion, one hundred twelve million, one hundred twelve thousand, twenty-six".

Divisors: 1 2 3 6 59 118 177 354 2844949469 5689898938 8534848407 17069696814 167852018671 335704037342 503556056013 1007112112026