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3212020011123 = 32711257130313841
BaseRepresentation
bin101110101111011011010…
…011111101000001110011
3102101001210012022210101200
4232233123103331001303
5410111204110323443
610455325344102243
7451026564421230
oct56573323750163
912331705283350
103212020011123
111029234617170
1243a617004983
131a3b7a19c0a1
14b1669524787
155884308cdd3
hex2ebdb4fd073

3212020011123 has 96 divisors (see below), whose sum is σ = 5811800896512. Its totient is φ = 1660693708800.

The previous prime is 3212020011091. The next prime is 3212020011169. The reversal of 3212020011123 is 3211100202123.

3212020011123 is a `hidden beast` number, since 321 + 20 + 200 + 1 + 1 + 123 = 666.

It is not a de Polignac number, because 3212020011123 - 25 = 3212020011091 is a prime.

It is a super-2 number, since 2×32120200111232 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3212020011096 and 3212020011105.

It is not an unprimeable number, because it can be changed into a prime (3212020011923) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232058683 + ... + 232072523.

It is an arithmetic number, because the mean of its divisors is an integer number (60539592672).

Almost surely, 23212020011123 is an apocalyptic number.

3212020011123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3212020011123 is a deficient number, since it is larger than the sum of its proper divisors (2599780885389).

3212020011123 is a wasteful number, since it uses less digits than its factorization.

3212020011123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15425 (or 15422 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3212020011123 its reverse (3211100202123), we get a palindrome (6423120213246).

The spelling of 3212020011123 in words is "three trillion, two hundred twelve billion, twenty million, eleven thousand, one hundred twenty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 257 693 771 1303 1799 2313 2827 3909 5397 8481 9121 11727 13841 14333 16191 19789 25443 27363 41523 42999 59367 82089 96887 100331 124569 128997 152251 178101 290661 300993 334871 456753 871983 902979 1004613 1065757 1370259 2344097 3013839 3197271 3557137 3683581 7032291 9591813 10671411 11050743 18034823 21096873 24899959 25785067 32014233 33152229 39128507 54104469 74699877 77355201 117385521 126243761 162313407 198383053 224099631 232065603 273899549 352156563 378731283 595149159 821698647 1136193849 1388681371 1785447477 2465095941 4166044113 4634949511 12498132339 13904848533 32444646577 41714545599 50984444621 97333939731 152953333863 292001819193 356891112347 458860001589 1070673337041 3212020011123