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2232131212020 = 2235165727418191
BaseRepresentation
bin100000011110110101011…
…000110101001011110100
321220101112001200020010010
4200132311120311023310
5243032401042241040
64425232114300220
7320160202152033
oct40366530651364
97811461606103
102232131212020
11790706972166
12300728287670
13132648644028
147a07006c71a
153d0e220ae80
hex207b56352f4

2232131212020 has 96 divisors (see below), whose sum is σ = 6256784572416. Its totient is φ = 594586137600.

The previous prime is 2232131212019. The next prime is 2232131212027. The reversal of 2232131212020 is 202121312322.

2232131212020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22321312120203 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232131212027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272506125 + ... + 272514315.

It is an arithmetic number, because the mean of its divisors is an integer number (65174839296).

Almost surely, 22232131212020 is an apocalyptic number.

2232131212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232131212020 is an abundant number, since it is smaller than the sum of its proper divisors (4024653360396).

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

2232131212020 is a wasteful number, since it uses less digits than its factorization.

2232131212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12601 (or 12599 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2232131212020 its reverse (202121312322), we get a palindrome (2434252524342).

The spelling of 2232131212020 in words is "two trillion, two hundred thirty-two billion, one hundred thirty-one million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1657 2741 3314 4971 5482 6628 8191 8223 8285 9942 10964 13705 16382 16446 16570 19884 24573 24855 27410 32764 32892 33140 40955 41115 49146 49710 54820 81910 82230 98292 99420 122865 163820 164460 245730 491460 4541837 9083674 13572487 13625511 18167348 22451531 22709185 27144974 27251022 40717461 44903062 45418370 54289948 54502044 67354593 67862435 68127555 81434922 89806124 90836740 112257655 134709186 135724870 136255110 162869844 203587305 224515310 269418372 271449740 272510220 336772965 407174610 449030620 673545930 814349220 1347091860 37202186867 74404373734 111606560601 148808747468 186010934335 223213121202 372021868670 446426242404 558032803005 744043737340 1116065606010 2232131212020