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202321230020 = 225713163681997
BaseRepresentation
bin1011110001101101001…
…0001111100011000100
3201100020010002101110122
42330123102033203010
511303323213330040
6232540050041112
720421465036320
oct2743322174304
9640203071418
10202321230020
1178893072718
1233264b79198
13161041b8570
149b144b8980
1553e213b1b5
hex2f1b48f8c4

202321230020 has 96 divisors (see below), whose sum is σ = 526131449088. Its totient is φ = 63638410752.

The previous prime is 202321229993. The next prime is 202321230043. The reversal of 202321230020 is 20032123202.

202321230020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 44339 + ... + 637658.

It is an arithmetic number, because the mean of its divisors is an integer number (5480535928).

Almost surely, 2202321230020 is an apocalyptic number.

202321230020 is a gapful number since it is divisible by the number (20) 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 202321230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263065724544).

202321230020 is an abundant number, since it is smaller than the sum of its proper divisors (323810219068).

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

202321230020 is a wasteful number, since it uses less digits than its factorization.

202321230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682189 (or 682187 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 202321230020 its reverse (20032123202), we get a palindrome (222353353222).

The spelling of 202321230020 in words is "two hundred two billion, three hundred twenty-one million, two hundred thirty thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 163 182 260 326 364 455 652 815 910 1141 1630 1820 2119 2282 3260 4238 4564 5705 8476 10595 11410 14833 21190 22820 29666 42380 59332 74165 148330 296660 681997 1363994 2727988 3409985 4773979 6819970 8865961 9547958 13639940 17731922 19095916 23869895 35463844 44329805 47739790 62061727 88659610 95479580 111165511 124123454 177319220 222331022 248246908 310308635 444662044 555827555 620617270 778158577 1111655110 1241234540 1445151643 1556317154 2223310220 2890303286 3112634308 3890792885 5780606572 7225758215 7781585770 10116061501 14451516430 15563171540 20232123002 28903032860 40464246004 50580307505 101160615010 202321230020