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1311123203000 = 235313612716101
BaseRepresentation
bin10011000101000101000…
…010000110001110111000
311122100020102121201012122
4103011011002012032320
5132440140014444000
62442153252300412
7163503566225552
oct23050502061670
94570212551178
101311123203000
1146605395a246
12192130611708
139683b6ca870
144765c96a4d2
152418a6ee085
hex131450863b8

1311123203000 has 256 divisors, whose sum is σ = 3371139233280. Its totient is φ = 474336000000.

The previous prime is 1311123202901. The next prime is 1311123203129. The reversal of 1311123203000 is 3023211131.

It is a self number, because there is not a number n which added to its sum of digits gives 1311123203000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214899950 + ... + 214906050.

It is an arithmetic number, because the mean of its divisors is an integer number (13168512630).

Almost surely, 21311123203000 is an apocalyptic number.

1311123203000 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 1311123203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685569616640).

1311123203000 is an abundant number, since it is smaller than the sum of its proper divisors (2060016030280).

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

1311123203000 is a wasteful number, since it uses less digits than its factorization.

1311123203000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6467 (or 6453 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1311123203000 its reverse (3023211131), we get a palindrome (1314146414131).

The spelling of 1311123203000 in words is "one trillion, three hundred eleven billion, one hundred twenty-three million, two hundred three thousand".