Search a number
-
+
1030303101000 = 2335319232832777
BaseRepresentation
bin11101111111000101101…
…10011011000001001000
310122111101121001110021010
432333202312123001020
5113340030043213000
62105151551043520
7134302604601165
oct16774266330110
93574347043233
101030303101000
11367a49271218
1214781a5105a0
13762073a6034
1437c1cc3106c
151bc01cb2d50
hexefe2d9b048

1030303101000 has 512 divisors, whose sum is σ = 3544603545600. Its totient is φ = 248001177600.

The previous prime is 1030303100969. The next prime is 1030303101029. The reversal of 1030303101000 is 1013030301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 371011612 + ... + 371014388.

It is an arithmetic number, because the mean of its divisors is an integer number (6923053800).

Almost surely, 21030303101000 is an apocalyptic number.

1030303101000 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 1030303101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772301772800).

1030303101000 is an abundant number, since it is smaller than the sum of its proper divisors (2514300444600).

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

1030303101000 is a wasteful number, since it uses less digits than its factorization.

1030303101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 1030303101000 its reverse (1013030301), we get a palindrome (1031316131301).

The spelling of 1030303101000 in words is "one trillion, thirty billion, three hundred three million, one hundred one thousand".