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1006262550131 = 19972572837507
BaseRepresentation
bin11101010010010011110…
…10111111111001110011
310120012100011111221020012
432221021322333321303
5112441311203101011
62050134242405135
7132462060356456
oct16511172777163
93505304457205
101006262550131
11358831a81563
1214302b3607ab
1373b7587c4c7
14369bc07b49d
151b296461a8b
hexea49ebfe73

1006262550131 has 32 divisors (see below), whose sum is σ = 1078247304960. Its totient is φ = 936356806656.

The previous prime is 1006262550101. The next prime is 1006262550133. The reversal of 1006262550131 is 1310552626001.

It is a cyclic number.

It is not a de Polignac number, because 1006262550131 - 230 = 1005188808307 is a prime.

It is a super-2 number, since 2×10062625501312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006262550133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134039480 + ... + 134046986.

It is an arithmetic number, because the mean of its divisors is an integer number (33695228280).

Almost surely, 21006262550131 is an apocalyptic number.

1006262550131 is a deficient number, since it is larger than the sum of its proper divisors (71984754829).

1006262550131 is a wasteful number, since it uses less digits than its factorization.

1006262550131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8163.

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 1006262550131 in words is "one trillion, six billion, two hundred sixty-two million, five hundred fifty thousand, one hundred thirty-one".

Divisors: 1 19 97 257 283 1843 4883 5377 7507 24929 27451 72731 142633 473651 521569 728179 1381889 1929299 2124481 7054907 13835401 36656681 40365139 134043233 187142003 206074657 545991617 3555698057 3915418483 10373840723 52961186849 1006262550131