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1013429203000 = 23534367351763
BaseRepresentation
bin11101011111101010001…
…01100111000000111000
310120212211121211121202221
432233311011213000320
5113101000333444000
62053321332533424
7133134502044244
oct16576505470070
93525747747687
101013429203000
1136087a401975
121444ab481274
13747485650c6
143709bbb9424
151b5656e961a
hexebf5167038

1013429203000 has 128 divisors (see below), whose sum is σ = 2462798257920. Its totient is φ = 390033705600.

The previous prime is 1013429202997. The next prime is 1013429203019. The reversal of 1013429203000 is 3029243101.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2705119 + ... + 3056881.

It is an arithmetic number, because the mean of its divisors is an integer number (19240611390).

Almost surely, 21013429203000 is an apocalyptic number.

1013429203000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013429203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231399128960).

1013429203000 is an abundant number, since it is smaller than the sum of its proper divisors (1449369054920).

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

1013429203000 is a wasteful number, since it uses less digits than its factorization.

1013429203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351894 (or 351880 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The spelling of 1013429203000 in words is "one trillion, thirteen billion, four hundred twenty-nine million, two hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 67 86 100 125 134 172 200 215 250 268 335 344 430 500 536 670 860 1000 1075 1340 1675 1720 2150 2680 2881 3350 4300 5375 5762 6700 8375 8600 10750 11524 13400 14405 16750 21500 23048 28810 33500 43000 57620 67000 72025 115240 144050 288100 351763 360125 576200 703526 720250 1407052 1440500 1758815 2814104 2881000 3517630 7035260 8794075 14070520 15125809 17588150 23568121 30251618 35176300 43970375 47136242 60503236 70352600 75629045 87940750 94272484 117840605 121006472 151258090 175881500 188544968 235681210 302516180 351763000 378145225 471362420 589203025 605032360 756290450 942724840 1013429203 1178406050 1512580900 1890726125 2026858406 2356812100 2946015125 3025161800 3781452250 4053716812 4713624200 5067146015 5892030250 7562904500 8107433624 10134292030 11784060500 15125809000 20268584060 23568121000 25335730075 40537168120 50671460150 101342920300 126678650375 202685840600 253357300750 506714601500 1013429203000