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1003113121332 = 2237174316336283
BaseRepresentation
bin11101001100011100011…
…00111000011000110100
310112220012200022101010010
432212032030320120310
5112413333424340312
62044453535300220
7132321035563350
oct16461614703064
93486180271103
101003113121332
1135746622a043
121424b067a670
137379323907a
143679da98460
151b15ec0293c
hexe98e338634

1003113121332 has 96 divisors (see below), whose sum is σ = 2898187471872. Its totient is φ = 263471556096.

The previous prime is 1003113121321. The next prime is 1003113121337. The reversal of 1003113121332 is 2331213113001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1003113121299 and 1003113121308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003113121337) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8106738 + ... + 8229545.

It is an arithmetic number, because the mean of its divisors is an integer number (30189452832).

Almost surely, 21003113121332 is an apocalyptic number.

1003113121332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1003113121332 is an abundant number, since it is smaller than the sum of its proper divisors (1895074350540).

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

1003113121332 is a wasteful number, since it uses less digits than its factorization.

1003113121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16336357 (or 16336355 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1003113121332 its reverse (2331213113001), we get a palindrome (3334326234333).

The spelling of 1003113121332 in words is "one trillion, three billion, one hundred thirteen million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 43 51 68 84 86 102 119 129 172 204 238 258 301 357 476 516 602 714 731 903 1204 1428 1462 1806 2193 2924 3612 4386 5117 8772 10234 15351 20468 30702 61404 16336283 32672566 49008849 65345132 98017698 114353981 196035396 228707962 277716811 343061943 457415924 555433622 686123886 702460169 833150433 1110867244 1372247772 1404920338 1666300866 1944017677 2107380507 2809840676 3332601732 3888035354 4214761014 4917221183 5832053031 7776070708 8429522028 9834442366 11664106062 11941822873 14751663549 19668884732 23328212124 23883645746 29503327098 35825468619 47767291492 59006654196 71650937238 83592760111 143301874476 167185520222 250778280333 334371040444 501556560666 1003113121332