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103322414001000 = 2335334440804667
BaseRepresentation
bin10111011111100010011111…
…110010001010101101101000
3111112211112012200102001120010
4113133202133302022231220
5102020313300441013000
61003425354533131520
730522540511164465
oct2737423762125550
9445745180361503
10103322414001000
112aa15876103917
12b7086ab489ba0
13458635332aa1c
141b72b8d99866c
15be29be32cd50
hex5df89fc8ab68

103322414001000 has 64 divisors (see below), whose sum is σ = 322365931692480. Its totient is φ = 27552643732800.

The previous prime is 103322414000941. The next prime is 103322414001049. The reversal of 103322414001000 is 100414223301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17220399334 + ... + 17220405333.

It is an arithmetic number, because the mean of its divisors is an integer number (5036967682695).

Almost surely, 2103322414001000 is an apocalyptic number.

103322414001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103322414001000 is an abundant number, since it is smaller than the sum of its proper divisors (219043517691480).

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

103322414001000 is a wasteful number, since it uses less digits than its factorization.

103322414001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34440804691 (or 34440804677 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 103322414001000 its reverse (100414223301), we get a palindrome (103422828224301).

The spelling of 103322414001000 in words is "one hundred three trillion, three hundred twenty-two billion, four hundred fourteen million, 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 34440804667 68881609334 103322414001 137763218668 172204023335 206644828002 275526437336 344408046670 413289656004 516612070005 688816093340 826579312008 861020116675 1033224140010 1377632186680 1722040233350 2066448280020 2583060350025 3444080466700 4132896560040 4305100583375 5166120700050 6888160933400 8610201166750 10332241400100 12915301750125 17220402333500 20664482800200 25830603500250 34440804667000 51661207000500 103322414001000