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3213120013120 = 26576113194481
BaseRepresentation
bin101110110000011100111…
…000001000001101000000
3102101011121212011200110101
4232300130320020031000
5410120432210404440
610500030441012144
7451066052323153
oct56603470101500
912334555150411
103213120013120
111029749532a26
1243a883484054
131a3cc4050944
14b1731663c9a
15588a992469a
hex2ec1ce08340

3213120013120 has 56 divisors (see below), whose sum is σ = 7661296806408. Its totient is φ = 1283559014400.

The previous prime is 3213120013093. The next prime is 3213120013123. The reversal of 3213120013120 is 213100213123.

It can be written as a sum of positive squares in 4 ways, for example, as 200173918464 + 3012946094656 = 447408^2 + 1735784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213120013123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6353721 + ... + 6840760.

It is an arithmetic number, because the mean of its divisors is an integer number (136808871543).

Almost surely, 23213120013120 is an apocalyptic number.

It is an amenable number.

3213120013120 is an abundant number, since it is smaller than the sum of its proper divisors (4448176793288).

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

3213120013120 is a wasteful number, since it uses less digits than its factorization.

3213120013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13195259 (or 13195249 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 3213120013120 its reverse (213100213123), we get a palindrome (3426220226243).

The spelling of 3213120013120 in words is "three trillion, two hundred thirteen billion, one hundred twenty million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 761 1522 3044 3805 6088 7610 12176 15220 24352 30440 48704 60880 121760 243520 13194481 26388962 52777924 65972405 105555848 131944810 211111696 263889620 422223392 527779240 844446784 1055558480 2111116960 4222233920 10041000041 20082000082 40164000164 50205000205 80328000328 100410000410 160656000656 200820000820 321312001312 401640001640 642624002624 803280003280 1606560006560 3213120013120