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1020302010000 = 24325472132372
BaseRepresentation
bin11101101100011101011…
…11010010011010010000
310121112120121020101120100
432312032233102122100
5113204034303310000
62100415325012400
7133500014663400
oct16661657223220
93545517211510
101020302010000
11363786981559
121458a90b4100
13752a23c6100
14375508a6800
151b818c8ba00
hexed8ebd2690

1020302010000 has 2025 divisors, whose sum is σ = 4619299515831. Its totient is φ = 209454336000.

The previous prime is 1020302009959. The next prime is 1020302010019. The reversal of 1020302010000 is 102030201.

It is a happy number.

The square root of 1020302010000 is 1010100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 972014584464 + 48287425536 = 985908^2 + 219744^2 .

It is a super-2 number, since 2×10203020100002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 27575729982 + ... + 27575730018.

Almost surely, 21020302010000 is an apocalyptic number.

1020302010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020302010000 is the 1010100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020302010000

1020302010000 is an abundant number, since it is smaller than the sum of its proper divisors (3598997505831).

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

1020302010000 is a wasteful number, since it uses less digits than its factorization.

1020302010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 1020302010000 its reverse (102030201), we get a palindrome (1020404040201).

1020302010000 divided by its reverse (102030201) gives a 4-th power (10000 = 104).

The spelling of 1020302010000 in words is "one trillion, twenty billion, three hundred two million, ten thousand".