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1001002232020 = 225721021430849
BaseRepresentation
bin11101001000100000110…
…00011110100011010100
310112200202120022002100111
432210100120132203110
5112400023032411040
62043504251452404
7132214524404200
oct16442030364324
93480676262314
101001002232020
1135658273371a
12142001757104
1373517b0793b
143663d5b5b00
151b089738dea
hexe91061e8d4

1001002232020 has 36 divisors (see below), whose sum is σ = 2445305454900. Its totient is φ = 343200764928.

The previous prime is 1001002231997. The next prime is 1001002232059. The reversal of 1001002232020 is 202322001001.

It can be written as a sum of positive squares in 2 ways, for example, as 128470631184 + 872531600836 = 358428^2 + 934094^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 510714445 + ... + 510716404.

It is an arithmetic number, because the mean of its divisors is an integer number (67925151525).

Almost surely, 21001002232020 is an apocalyptic number.

1001002232020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001002232020 is an abundant number, since it is smaller than the sum of its proper divisors (1444303222880).

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

1001002232020 is a wasteful number, since it uses less digits than its factorization.

1001002232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021430872 (or 1021430863 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 1001002232020 its reverse (202322001001), we get a palindrome (1203324233021).

The spelling of 1001002232020 in words is "one trillion, one billion, two million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1021430849 2042861698 4085723396 5107154245 7150015943 10214308490 14300031886 20428616980 28600063772 35750079715 50050111601 71500159430 100100223202 143000318860 200200446404 250250558005 500501116010 1001002232020