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1020233000000 = 26561020233
BaseRepresentation
bin11101101100010101010…
…00000010010001000000
310121112101210101022122102
432312022220002101000
5113203414122000000
62100404421525532
7133465216262144
oct16661250022100
93545353338572
101020233000000
11363750a272a5
12145889b738a8
13752910130a6
1437545661224
151b812ba93d5
hexed8aa02440

1020233000000 has 98 divisors (see below), whose sum is σ = 2530626162258. Its totient is φ = 408092800000.

The previous prime is 1020232999999. The next prime is 1020233000021. The reversal of 1020233000000 is 3320201.

It can be written as a sum of positive squares in 7 ways, for example, as 1003987968064 + 16245031936 = 1001992^2 + 127456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 489884 + ... + 1510116.

Almost surely, 21020233000000 is an apocalyptic number.

1020233000000 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 1020233000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265313081129).

1020233000000 is an abundant number, since it is smaller than the sum of its proper divisors (1510393162258).

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

1020233000000 is an frugal number, since it uses more digits than its factorization.

1020233000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020275 (or 1020240 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 1020233000000 its reverse (3320201), we get a palindrome (1020236320201).

The spelling of 1020233000000 in words is "one trillion, twenty billion, two hundred thirty-three million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 125000 200000 250000 500000 1000000 1020233 2040466 4080932 5101165 8161864 10202330 16323728 20404660 25505825 32647456 40809320 51011650 65294912 81618640 102023300 127529125 163237280 204046600 255058250 326474560 408093200 510116500 637645625 816186400 1020233000 1275291250 1632372800 2040466000 2550582500 3188228125 4080932000 5101165000 6376456250 8161864000 10202330000 12752912500 15941140625 20404660000 25505825000 31882281250 40809320000 51011650000 63764562500 102023300000 127529125000 204046600000 255058250000 510116500000 1020233000000