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1000143021020 = 22511132937417949
BaseRepresentation
bin11101000110111010010…
…10110110001111011100
310112121112200112122102212
432203131022312033130
5112341243103133040
62043243115535552
7132154322260643
oct16433512661734
93477480478385
101000143021020
11356181730790
12141a01a5a5b8
137340bac2c70
143659b43635a
151b0390b7d65
hexe8dd2b63dc

1000143021020 has 384 divisors, whose sum is σ = 2685838176000. Its totient is φ = 307644825600.

The previous prime is 1000143021013. The next prime is 1000143021037. The reversal of 1000143021020 is 201203410001.

It is a junction number, because it is equal to n+sod(n) for n = 1000143020986 and 1000143021004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 125816006 + ... + 125823954.

It is an arithmetic number, because the mean of its divisors is an integer number (6994370250).

Almost surely, 21000143021020 is an apocalyptic number.

1000143021020 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 1000143021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342919088000).

1000143021020 is an abundant number, since it is smaller than the sum of its proper divisors (1685695154980).

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

1000143021020 is a wasteful number, since it uses less digits than its factorization.

1000143021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8089 (or 8087 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1000143021020 its reverse (201203410001), we get a palindrome (1201346431021).

The spelling of 1000143021020 in words is "one trillion, one hundred forty-three million, twenty-one thousand, twenty".