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1023748667106 = 23113128192921
BaseRepresentation
bin11101110010111000010…
…11001111011011100010
310121212110210201201021020
432321130023033123202
5113233114124321411
62102145330510310
7133651306043364
oct16713413173342
93555423651236
101023748667106
11365195485000
121464ab435396
13757014a6899
143779a53ad34
151b96b65d606
hexee5c2cf6e2

1023748667106 has 32 divisors (see below), whose sum is σ = 2252093253696. Its totient is φ = 310226866400.

The previous prime is 1023748667089. The next prime is 1023748667107. The reversal of 1023748667106 is 6017668473201.

It is a happy number.

It is a super-2 number, since 2×10237486671062 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1023748667107) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 64088475 + ... + 64104446.

It is an arithmetic number, because the mean of its divisors is an integer number (70377914178).

Almost surely, 21023748667106 is an apocalyptic number.

1023748667106 is an abundant number, since it is smaller than the sum of its proper divisors (1228344586590).

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

1023748667106 is a wasteful number, since it uses less digits than its factorization.

1023748667106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128192959 (or 128192937 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 1023748667106 in words is "one trillion, twenty-three billion, seven hundred forty-eight million, six hundred sixty-seven thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1331 2662 3993 7986 128192921 256385842 384578763 769157526 1410122131 2820244262 4230366393 8460732786 15511343441 31022686882 46534030323 93068060646 170624777851 341249555702 511874333553 1023748667106