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1355025133000 = 235371117597729
BaseRepresentation
bin10011101101111101110…
…010101010110111001000
311210112120000211211102001
4103231331302222313020
5134200042413224000
62514253455120344
7166616533406560
oct23557562526710
94715500754361
101355025133000
114827323a9020
1219a7432130b4
139aa16c85636
144982543dda0
15253a9a3846a
hex13b7dcaadc8

1355025133000 has 128 divisors (see below), whose sum is σ = 3953154067200. Its totient is φ = 422345472000.

The previous prime is 1355025132949. The next prime is 1355025133003. The reversal of 1355025133000 is 3315205531.

It is a super-2 number, since 2×13550251330002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1355025133000.

It is not an unprimeable number, because it can be changed into a prime (1355025133003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8721865 + ... + 8875864.

It is an arithmetic number, because the mean of its divisors is an integer number (30884016150).

Almost surely, 21355025133000 is an apocalyptic number.

1355025133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1355025133000 is an abundant number, since it is smaller than the sum of its proper divisors (2598128934200).

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

1355025133000 is a wasteful number, since it uses less digits than its factorization.

1355025133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17597768 (or 17597754 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 28.

The spelling of 1355025133000 in words is "one trillion, three hundred fifty-five billion, twenty-five million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1100 1375 1400 1540 1750 1925 2200 2750 3080 3500 3850 5500 7000 7700 9625 11000 15400 19250 38500 77000 17597729 35195458 70390916 87988645 123184103 140781832 175977290 193575019 246368206 351954580 387150038 439943225 492736412 615920515 703909160 774300076 879886450 967875095 985472824 1231841030 1355025133 1548600152 1759772900 1935750190 2199716125 2463682060 2710050266 3079602575 3519545800 3871500380 4399432250 4839375475 4927364120 5420100532 6159205150 6775125665 7743000760 8798864500 9678750950 10840201064 12318410300 13550251330 15398012875 17597729000 19357501900 24196877375 24636820600 27100502660 30796025750 33875628325 38715003800 48393754750 54201005320 61592051500 67751256650 96787509500 123184103000 135502513300 169378141625 193575019000 271005026600 338756283250 677512566500 1355025133000