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300030312011220 = 223257435537658029
BaseRepresentation
bin100010000111000000100000…
…0001010110101010111010100
31110100022121200022100022011100
41010032001000022311113110
5303311144034333324340
62542040004511510100
7120124321553352450
oct10416010012652724
91410277608308140
10300030312011220
11876651603a116a
1229797a74528330
13cb54977311b2b
14541378a49d660
1524a4724a6a830
hex110e0402b55d4

300030312011220 has 144 divisors (see below), whose sum is σ = 1064293572101760. Its totient is φ = 66983511506688.

The previous prime is 300030312011197. The next prime is 300030312011231. The reversal of 300030312011220 is 22110213030003.

300030312011220 is a `hidden beast` number, since 300 + 0 + 30 + 312 + 0 + 1 + 1 + 2 + 20 = 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 = 300030312011193 and 300030312011202.

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, 2768774835 + ... + 2768883194.

It is an arithmetic number, because the mean of its divisors is an integer number (7390927584040).

Almost surely, 2300030312011220 is an apocalyptic number.

300030312011220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300030312011220 is an abundant number, since it is smaller than the sum of its proper divisors (764263260090540).

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

300030312011220 is a wasteful number, since it uses less digits than its factorization.

300030312011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5537658094 (or 5537658089 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 300030312011220 its reverse (22110213030003), we get a palindrome (322140525041223).

The spelling of 300030312011220 in words is "three hundred trillion, thirty billion, three hundred twelve million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 43 45 60 63 70 84 86 90 105 126 129 140 172 180 210 215 252 258 301 315 387 420 430 516 602 630 645 774 860 903 1204 1260 1290 1505 1548 1806 1935 2580 2709 3010 3612 3870 4515 5418 6020 7740 9030 10836 13545 18060 27090 54180 5537658029 11075316058 16612974087 22150632116 27688290145 33225948174 38763606203 49838922261 55376580290 66451896348 77527212406 83064870435 99677844522 110753160580 116290818609 155054424812 166129740870 193818031015 199355689044 232581637218 238119295247 249194611305 332259481740 348872455827 387636062030 465163274436 476238590494 498389222610 581454093045 697744911654 714357885741 775272124060 952477180988 996778445220 1162908186090 1190596476235 1395489823308 1428715771482 1666835066729 1744362279135 2143073657223 2325816372180 2381192952470 2857431542964 3333670133458 3488724558270 3571789428705 4286147314446 4762385904940 5000505200187 6667340266916 6977449116540 7143578857410 8334175333645 8572294628892 10001010400374 10715368286115 14287157714820 15001515600561 16668350667290 20002020800748 21430736572230 25002526000935 30003031201122 33336701334580 42861473144460 50005052001870 60006062402244 75007578002805 100010104003740 150015156005610 300030312011220