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11003133201000 = 233533667711067
BaseRepresentation
bin1010000000011101110111…
…0110001000101001101000
31102221220000021022210001220
42200013131312020221220
52420233404044413000
635222434122542040
72213643620021163
oct240073566105150
942856007283056
1011003133201000
113562447928226
121298593067920
1361a78b5a5045
142a07a9732ada
1514133b7b01a0
hexa01ddd88a68

11003133201000 has 64 divisors (see below), whose sum is σ = 34329775596480. Its totient is φ = 2934168852800.

The previous prime is 11003133200993. The next prime is 11003133201101. The reversal of 11003133201000 is 10233130011.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1833852534 + ... + 1833858533.

It is an arithmetic number, because the mean of its divisors is an integer number (536402743695).

Almost surely, 211003133201000 is an apocalyptic number.

11003133201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11003133201000 is an abundant number, since it is smaller than the sum of its proper divisors (23326642395480).

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

11003133201000 is a wasteful number, since it uses less digits than its factorization.

11003133201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667711091 (or 3667711077 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11003133201000 its reverse (10233130011), we get a palindrome (11013366331011).

It can be divided in two parts, 11003 and 133201000, that added together give a triangular number (133212003 = T16322).

The spelling of 11003133201000 in words is "eleven trillion, three billion, one hundred thirty-three million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 3667711067 7335422134 11003133201 14670844268 18338555335 22006266402 29341688536 36677110670 44012532804 55015666005 73354221340 88025065608 91692776675 110031332010 146708442680 183385553350 220062664020 275078330025 366771106700 440125328040 458463883375 550156660050 733542213400 916927766750 1100313320100 1375391650125 1833855533500 2200626640200 2750783300250 3667711067000 5501566600500 11003133201000