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31103303220 = 223251121174449
BaseRepresentation
bin11100111101111001…
…101011111000110100
32222021122100111212100
4130331321223320310
51002144421200340
622142203422100
72150524500213
oct347571537064
988248314770
1031103303220
1112211005080
126040524930
132c18b31442
141710ba707a
15c20913830
hex73de6be34

31103303220 has 144 divisors (see below), whose sum is σ = 103412836800. Its totient is φ = 7504358400.

The previous prime is 31103303201. The next prime is 31103303243. The reversal of 31103303220 is 2230330113.

31103303220 is a `hidden beast` number, since 3 + 1 + 10 + 330 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31103303193 and 31103303202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380556 + ... + 455004.

It is an arithmetic number, because the mean of its divisors is an integer number (718144700).

Almost surely, 231103303220 is an apocalyptic number.

31103303220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31103303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51706418400).

31103303220 is an abundant number, since it is smaller than the sum of its proper divisors (72309533580).

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

31103303220 is a wasteful number, since it uses less digits than its factorization.

31103303220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74686 (or 74681 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31103303220 its reverse (2230330113), we get a palindrome (33333633333).

The spelling of 31103303220 in words is "thirty-one billion, one hundred three million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 211 220 330 396 422 495 633 660 844 990 1055 1266 1899 1980 2110 2321 2532 3165 3798 4220 4642 6330 6963 7596 9284 9495 11605 12660 13926 18990 20889 23210 27852 34815 37980 41778 46420 69630 74449 83556 104445 139260 148898 208890 223347 297796 372245 417780 446694 670041 744490 818939 893388 1116735 1340082 1488980 1637878 2233470 2456817 2680164 3275756 3350205 4094695 4466940 4913634 6700410 7370451 8189390 9827268 12284085 13400820 14740902 15708739 16378780 24568170 29481804 31417478 36852255 47126217 49136340 62834956 73704510 78543695 94252434 141378651 147409020 157087390 172796129 188504868 235631085 282757302 314174780 345592258 471262170 518388387 565514604 691184516 706893255 863980645 942524340 1036776774 1413786510 1555165161 1727961290 2073553548 2591941935 2827573020 3110330322 3455922580 5183883870 6220660644 7775825805 10367767740 15551651610 31103303220