Search a number
-
+
1020203000000 = 265641149167
BaseRepresentation
bin11101101100010001101…
…01100110000011000000
310121112022200221011101022
432312020311212003000
5113203333432000000
62100401430525012
7133464403263452
oct16661065460300
93545280834338
101020203000000
11363735aa6908
1214587bb06768
1375287a3b102
14375416922d2
151b810230585
hexed88d660c0

1020203000000 has 392 divisors, whose sum is σ = 2625294520800. Its totient is φ = 393088000000.

The previous prime is 1020202999993. The next prime is 1020203000021. The reversal of 1020203000000 is 3020201.

It is a super-2 number, since 2×10202030000002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6108999917 + ... + 6109000083.

It is an arithmetic number, because the mean of its divisors is an integer number (6697179900).

Almost surely, 21020203000000 is an apocalyptic number.

1020203000000 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 1020203000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312647260400).

1020203000000 is an abundant number, since it is smaller than the sum of its proper divisors (1605091520800).

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

1020203000000 is an frugal number, since it uses more digits than its factorization.

1020203000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 1020203000000 its reverse (3020201), we get a palindrome (1020206020201).

The spelling of 1020203000000 in words is "one trillion, twenty billion, two hundred three million", and thus it is an aban number.