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1003152404020 = 2251310138200777
BaseRepresentation
bin11101001100100001000…
…10101110111000110100
310112220022102020010211111
432212100202232320310
5112413424003412040
62044501501244404
7132322023513214
oct16462042567064
93486272203744
101003152404020
1135748641a778
12142501863704
137379b411270
14367a4da2244
151b1633b1dea
hexe9908aee34

1003152404020 has 48 divisors (see below), whose sum is σ = 2291129861328. Its totient is φ = 366727449600.

The previous prime is 1003152404011. The next prime is 1003152404083. The reversal of 1003152404020 is 204042513001.

It can be written as a sum of positive squares in 8 ways, for example, as 149383796004 + 853768608016 = 386502^2 + 923996^2 .

It is a super-2 number, since 2×10031524040202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003152403982 and 1003152404000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19074129 + ... + 19126648.

It is an arithmetic number, because the mean of its divisors is an integer number (47731872111).

Almost surely, 21003152404020 is an apocalyptic number.

1003152404020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003152404020 is an abundant number, since it is smaller than the sum of its proper divisors (1287977457308).

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

1003152404020 is a wasteful number, since it uses less digits than its factorization.

1003152404020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38200900 (or 38200898 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 1003152404020 its reverse (204042513001), we get a palindrome (1207194917021).

The spelling of 1003152404020 in words is "one trillion, three billion, one hundred fifty-two million, four hundred four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 5252 6565 13130 26260 38200777 76401554 152803108 191003885 382007770 496610101 764015540 993220202 1986440404 2483050505 3858278477 4966101010 7716556954 9932202020 15433113908 19291392385 38582784770 50157620201 77165569540 100315240402 200630480804 250788101005 501576202010 1003152404020