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1003421123300 = 2252173565710253
BaseRepresentation
bin11101001101000001000…
…11110100001011100100
310112221000010212111101102
432212200203310023210
5112420001301421200
62044544301015232
7132331465551311
oct16464043641344
93487003774342
101003421123300
11357604079522
12142577854518
1373811ca915b
14367cc951d08
151b17bc926d5
hexe9a08f42e4

1003421123300 has 72 divisors (see below), whose sum is σ = 2190610870056. Its totient is φ = 398938946560.

The previous prime is 1003421123293. The next prime is 1003421123321. The reversal of 1003421123300 is 33211243001.

It can be written as a sum of positive squares in 12 ways, for example, as 460169576164 + 543251547136 = 678358^2 + 737056^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97860974 + ... + 97871226.

It is an arithmetic number, because the mean of its divisors is an integer number (30425150973).

Almost surely, 21003421123300 is an apocalyptic number.

1003421123300 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 1003421123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095305435028).

1003421123300 is an abundant number, since it is smaller than the sum of its proper divisors (1187189746756).

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

1003421123300 is a wasteful number, since it uses less digits than its factorization.

1003421123300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16097 (or 16090 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1003421123300 its reverse (33211243001), we get a palindrome (1036632366301).

The spelling of 1003421123300 in words is "one trillion, three billion, four hundred twenty-one million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 346 692 865 1730 3460 4325 5657 8650 10253 11314 17300 20506 22628 28285 41012 51265 56570 102530 113140 141425 205060 256325 282850 512650 565700 978661 1025300 1773769 1957322 3547538 3914644 4893305 7095076 8868845 9786610 17737690 19573220 24466525 35475380 44344225 48933050 58001221 88688450 97866100 116002442 177376900 232004884 290006105 580012210 1160024420 1450030525 2900061050 5800122100 10034211233 20068422466 40136844932 50171056165 100342112330 200684224660 250855280825 501710561650 1003421123300