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1023131020200 = 233522374139929
BaseRepresentation
bin11101110001101110101…
…11000110101110101000
310121210212202111222222220
432320313113012232220
5113230333020121300
62102004144314040
7133630066115502
oct16706727065650
93553782458886
101023131020200
113649a8873813
12146358612920
137563353c943
143773c4bcd72
151b932306da0
hexee375c6ba8

1023131020200 has 96 divisors (see below), whose sum is σ = 3309606475200. Its totient is φ = 260972546560.

The previous prime is 1023131020199. The next prime is 1023131020211. The reversal of 1023131020200 is 20201313201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1023131020200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37056165 + ... + 37083764.

It is an arithmetic number, because the mean of its divisors is an integer number (34475067450).

Almost surely, 21023131020200 is an apocalyptic number.

1023131020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023131020200 is an abundant number, since it is smaller than the sum of its proper divisors (2286475455000).

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

1023131020200 is a wasteful number, since it uses less digits than its factorization.

1023131020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74139971 (or 74139962 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1023131020200 its reverse (20201313201), we get a palindrome (1043332333401).

The spelling of 1023131020200 in words is "one trillion, twenty-three billion, one hundred thirty-one million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 13800 74139929 148279858 222419787 296559716 370699645 444839574 593119432 741399290 889679148 1112098935 1482798580 1705218367 1779358296 1853498225 2224197870 2965597160 3410436734 3706996450 4448395740 5115655101 5560494675 6820873468 7413992900 8526091835 8896791480 10231310202 11120989350 13641746936 14827985800 17052183670 20462620404 22241978700 25578275505 34104367340 40925240808 42630459175 44483957400 51156551010 68208734680 85260918350 102313102020 127891377525 170521836700 204626204040 255782755050 341043673400 511565510100 1023131020200