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202113310000 = 245472887333
BaseRepresentation
bin1011110000111011100…
…1000101110100110000
3201022200121211221211011
42330032321011310300
511302412001410000
6232503301400304
720413361534440
oct2741671056460
9638617757734
10202113310000
1178796770298
1233207409094
13160a00ba374
149ad4a34120
1553cdc6a2ba
hex2f0ee45d30

202113310000 has 100 divisors (see below), whose sum is σ = 559241947792. Its totient is φ = 69295968000.

The previous prime is 202113309971. The next prime is 202113310001. The reversal of 202113310000 is 13311202.

202113310000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2021133100002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202113310001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1373667 + ... + 1513666.

Almost surely, 2202113310000 is an apocalyptic number.

202113310000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202113310000 is an abundant number, since it is smaller than the sum of its proper divisors (357128637792).

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

202113310000 is an equidigital number, since it uses as much as digits as its factorization.

202113310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887368 (or 2887347 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 202113310000 its reverse (13311202), we get a palindrome (202126621202).

The spelling of 202113310000 in words is "two hundred two billion, one hundred thirteen million, three hundred ten thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 17500 35000 70000 2887333 5774666 11549332 14436665 20211331 23098664 28873330 40422662 46197328 57746660 72183325 80845324 101056655 115493320 144366650 161690648 202113310 230986640 288733300 323381296 360916625 404226620 505283275 577466600 721833250 808453240 1010566550 1154933200 1443666500 1616906480 1804583125 2021133100 2526416375 2887333000 3609166250 4042266200 5052832750 5774666000 7218332500 8084532400 10105665500 12632081875 14436665000 20211331000 25264163750 28873330000 40422662000 50528327500 101056655000 202113310000