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331121221113100 = 2252112931027369597
BaseRepresentation
bin100101101001001110010101…
…0110000110001010100001100
31121102101212202012222100120211
41023102130222300301110030
5321400042230101104400
63132122553343052204
7126513501352322245
oct11322345260612414
91542355665870524
10331121221113100
11965617a3007970
1231179616ba1064
131129b79bca1392
145baa4d17d9ccc
152843352160dba
hex12d272ac3150c

331121221113100 has 72 divisors (see below), whose sum is σ = 786529507358448. Its totient is φ = 119996768812800.

The previous prime is 331121221113077. The next prime is 331121221113121. The reversal of 331121221113100 is 1311122121133.

It is a super-2 number, since 2×3311212211131002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513362499 + ... + 514007098.

It is an arithmetic number, because the mean of its divisors is an integer number (10924020935534).

Almost surely, 2331121221113100 is an apocalyptic number.

It is an amenable number.

331121221113100 is an abundant number, since it is smaller than the sum of its proper divisors (455408286245348).

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

331121221113100 is a wasteful number, since it uses less digits than its factorization.

331121221113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027369915 (or 1027369908 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 331121221113100 its reverse (1311122121133), we get a palindrome (332432343234233).

The spelling of 331121221113100 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 293 550 586 1100 1172 1465 2930 3223 5860 6446 7325 12892 14650 16115 29300 32230 64460 80575 161150 322300 1027369597 2054739194 4109478388 5136847985 10273695970 11301065567 20547391940 22602131134 25684239925 45204262268 51368479850 56505327835 102736959700 113010655670 226021311340 282526639175 301019291921 565053278350 602038583842 1130106556700 1204077167684 1505096459605 3010192919210 3311212211131 6020385838420 6622424422262 7525482298025 13244848844524 15050964596050 16556061055655 30101929192100 33112122111310 66224244222620 82780305278275 165560610556550 331121221113100