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1004000233005 = 345711239134707
BaseRepresentation
bin11101001110000110001…
…00111100011000101101
310112222111111120022120000
432213003010330120231
5112422143024424010
62045121545214513
7132352030112640
oct16470304743055
93488444508500
101004000233005
11357880a59190
121426b9791439
13738a4c6c313
143684581ba57
151b1b2a357c0
hexe9c313c62d

1004000233005 has 160 divisors (see below), whose sum is σ = 2253266104320. Its totient is φ = 415497962880.

The previous prime is 1004000232941. The next prime is 1004000233007. The reversal of 1004000233005 is 5003320004001.

1004000233005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1004000233005 - 26 = 1004000232941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004000233007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7385862 + ... + 7520568.

It is an arithmetic number, because the mean of its divisors is an integer number (14082913152).

Almost surely, 21004000233005 is an apocalyptic number.

1004000233005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1004000233005 is an abundant number, since it is smaller than the sum of its proper divisors (1249265871315).

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

1004000233005 is a wasteful number, since it uses less digits than its factorization.

1004000233005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134981 (or 134972 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 1004000233005 its reverse (5003320004001), we get a palindrome (6007320237006).

The spelling of 1004000233005 in words is "one trillion, four billion, two hundred thirty-three thousand, five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 81 99 105 135 165 189 231 239 297 315 385 405 495 567 693 717 891 945 1155 1195 1485 1673 2079 2151 2629 2835 3465 3585 4455 5019 6237 6453 7887 8365 10395 10755 13145 15057 18403 19359 23661 25095 31185 32265 39435 45171 55209 70983 75285 92015 96795 118305 134707 135513 165627 212949 225855 276045 354915 404121 496881 673535 677565 828135 942949 1064745 1212363 1481777 1490643 2020605 2484405 2828847 3637089 4445331 4714745 6061815 7408885 7453215 8486541 10372439 10911267 13335993 14144235 18185445 22226655 25459623 31117317 32194973 40007979 42432705 51862195 54556335 66679965 76378869 93351951 96584919 120023937 127298115 155586585 160974865 200039895 225364811 280055853 289754757 354144703 381894345 466759755 482924595 600119685 676094433 840167559 869264271 1062434109 1126824055 1400279265 1448773785 1770723515 2028283299 2479012921 2607792813 3187302327 3380472165 4200837795 4346321355 5312170545 6084849897 7437038763 9561906981 10141416495 12395064605 13038964065 15936511635 18254549691 22311116289 28685720943 30424249485 37185193815 47809534905 66933348867 91272748455 111555581445 143428604715 200800046601 334666744335 1004000233005