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1020053130000 = 24354293116047
BaseRepresentation
bin11101101011111111110…
…01111000101100010000
310121111221020220222101120
432311333321320230100
5113203032100130000
62100334514402240
7133460603354622
oct16657771705420
93544836828346
101020053130000
11363669443303
12145839890380
1375262986438
14375297dcc12
151b801ec96a0
hexed7fe78b10

1020053130000 has 200 divisors, whose sum is σ = 3304134438528. Its totient is φ = 271083456000.

The previous prime is 1020053129993. The next prime is 1020053130007. The reversal of 1020053130000 is 313500201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1020053129993) and next prime (1020053130007).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1020053130007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8731977 + ... + 8848023.

Almost surely, 21020053130000 is an apocalyptic number.

1020053130000 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 1020053130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652067219264).

1020053130000 is an abundant number, since it is smaller than the sum of its proper divisors (2284081308528).

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

1020053130000 is a wasteful number, since it uses less digits than its factorization.

1020053130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116371 (or 116350 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 1020053130000 its reverse (313500201), we get a palindrome (1020366630201).

The spelling of 1020053130000 in words is "one trillion, twenty billion, fifty-three million, one hundred thirty thousand".