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1023341100100 = 225211171910128517
BaseRepresentation
bin11101110010000111110…
…00011111110001000100
310121211102101211011102221
432321003320133301010
5113231300310200400
62102041051142124
7133635226554364
oct16710370376104
93554371734387
101023341100100
11364aa6410970
121463b6a44944
1375667c15c87
143775c3669a4
151b9459a2c1a
hexee43e1fc44

1023341100100 has 288 divisors, whose sum is σ = 2726859219840. Its totient is φ = 328504320000.

The previous prime is 1023341100059. The next prime is 1023341100139. The reversal of 1023341100100 is 10011433201.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35871042 + ... + 35899558.

It is an arithmetic number, because the mean of its divisors is an integer number (9468261180).

Almost surely, 21023341100100 is an apocalyptic number.

1023341100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023341100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363429609920).

1023341100100 is an abundant number, since it is smaller than the sum of its proper divisors (1703518119740).

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

1023341100100 is a wasteful number, since it uses less digits than its factorization.

1023341100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28679 (or 28672 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1023341100100 its reverse (10011433201), we get a palindrome (1033352533301).

The spelling of 1023341100100 in words is "one trillion, twenty-three billion, three hundred forty-one million, one hundred thousand, one hundred".