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202005442123320 = 233511153034425851
BaseRepresentation
bin101101111011100100001110…
…100111101101011000111000
3222111020112100120210102021110
4231323210032213231120320
5202434124121140421240
61553344004034040320
760356261112152403
oct5573441647553070
9874215316712243
10202005442123320
1159402032897a10
121a7a6011a190a0
138894054151564
1437c5189182d3a
151854959c07c80
hexb7b90e9ed638

202005442123320 has 64 divisors (see below), whose sum is σ = 661108719680640. Its totient is φ = 48971016272000.

The previous prime is 202005442123279. The next prime is 202005442123337. The reversal of 202005442123320 is 23321244500202.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76517211606 + ... + 76517214245.

It is an arithmetic number, because the mean of its divisors is an integer number (10329823745010).

Almost surely, 2202005442123320 is an apocalyptic number.

202005442123320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202005442123320 is an abundant number, since it is smaller than the sum of its proper divisors (459103277557320).

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

202005442123320 is a wasteful number, since it uses less digits than its factorization.

202005442123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153034425876 (or 153034425872 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 202005442123320 its reverse (23321244500202), we get a palindrome (225326686623522).

The spelling of 202005442123320 in words is "two hundred two trillion, five billion, four hundred forty-two million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 153034425851 306068851702 459103277553 612137703404 765172129255 918206555106 1224275406808 1530344258510 1683378684361 1836413110212 2295516387765 3060688517020 3366757368722 3672826220424 4591032775530 5050136053083 6121377034040 6733514737444 8416893421805 9182065551060 10100272106166 13467029474888 16833786843610 18364131102120 20200544212332 25250680265415 33667573687220 40401088424664 50501360530830 67335147374440 101002721061660 202005442123320