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1013402010000 = 2435433780067
BaseRepresentation
bin11101011111100110111…
…01111000000110010000
310120212202201200001222210
432233303131320012100
5113100421403310000
62053314522032120
7133134021646332
oct16576335700620
93525681601883
101013402010000
11360866019416
121444a2348640
1374742a33983
143709833b452
151b563127350
hexebf3778190

1013402010000 has 100 divisors (see below), whose sum is σ = 3271396905392. Its totient is φ = 270240528000.

The previous prime is 1013402009987. The next prime is 1013402010001. The reversal of 1013402010000 is 102043101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1013402010001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16860034 + ... + 16920033.

Almost surely, 21013402010000 is an apocalyptic number.

1013402010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013402010000 is an abundant number, since it is smaller than the sum of its proper divisors (2257994895392).

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

1013402010000 is an equidigital number, since it uses as much as digits as its factorization.

1013402010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33780098 (or 33780077 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1013402010000 its reverse (102043101), we get a palindrome (1013504053101).

The spelling of 1013402010000 in words is "one trillion, thirteen billion, four hundred two million, ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 33780067 67560134 101340201 135120268 168900335 202680402 270240536 337800670 405360804 506701005 540481072 675601340 810721608 844501675 1013402010 1351202680 1621443216 1689003350 2026804020 2533505025 2702405360 3378006700 4053608040 4222508375 5067010050 6756013400 8107216080 8445016750 10134020100 12667525125 13512026800 16890033500 20268040200 21112541875 25335050250 33780067000 40536080400 42225083750 50670100500 63337625625 67560134000 84450167500 101340201000 126675251250 168900335000 202680402000 253350502500 337800670000 506701005000 1013402010000