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2103213220000 = 2554731440557
BaseRepresentation
bin11110100110110001010…
…001101110000010100000
321110001202112201200101221
4132212301101232002200
5233424340041020000
64250111450304424
7304644404253634
oct36466121560240
97401675650357
102103213220000
11740a71039702
1229b749a28114
13123441990a09
1473b2057adc4
1539a9937761a
hex1e9b146e0a0

2103213220000 has 120 divisors (see below), whose sum is σ = 5245103370276. Its totient is φ = 829760256000.

The previous prime is 2103213219977. The next prime is 2103213220037. The reversal of 2103213220000 is 223123012.

It can be written as a sum of positive squares in 10 ways, for example, as 2789107344 + 2100424112656 = 52812^2 + 1449284^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 739722 + ... + 2180278.

Almost surely, 22103213220000 is an apocalyptic number.

2103213220000 is a gapful number since it is divisible by the number (20) 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 2103213220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622551685138).

2103213220000 is an abundant number, since it is smaller than the sum of its proper divisors (3141890150276).

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

2103213220000 is an equidigital number, since it uses as much as digits as its factorization.

2103213220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440660 (or 1440637 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2103213220000 its reverse (223123012), we get a palindrome (2103436343012).

The spelling of 2103213220000 in words is "two trillion, one hundred three billion, two hundred thirteen million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 125 146 160 200 250 292 365 400 500 584 625 730 800 1000 1168 1250 1460 1825 2000 2336 2500 2920 3650 4000 5000 5840 7300 9125 10000 11680 14600 18250 20000 29200 36500 45625 58400 73000 91250 146000 182500 292000 365000 730000 1440557 1460000 2881114 5762228 7202785 11524456 14405570 23048912 28811140 36013925 46097824 57622280 72027850 105160661 115244560 144055700 180069625 210321322 230489120 288111400 360139250 420642644 525803305 576222800 720278500 841285288 900348125 1051606610 1152445600 1440557000 1682570576 1800696250 2103213220 2629016525 2881114000 3365141152 3601392500 4206426440 5258033050 5762228000 7202785000 8412852880 10516066100 13145082625 14405570000 16825705760 21032132200 26290165250 28811140000 42064264400 52580330500 65725413125 84128528800 105160661000 131450826250 210321322000 262901652500 420642644000 525803305000 1051606610000 2103213220000