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311303122020 = 223451117469311
BaseRepresentation
bin1001000011110110001…
…11001010110001100100
31002202112020202010020000
410201323013022301210
520100022044401040
6355002150141300
731330244610012
oct4417307126144
91082466663200
10311303122020
11110028551160
12503ba951830
13234817a80a7
14110d23998b2
15816eb77130
hex487b1cac64

311303122020 has 120 divisors (see below), whose sum is σ = 1065348523008. Its totient is φ = 75467419200.

The previous prime is 311303122003. The next prime is 311303122033. The reversal of 311303122020 is 20221303113.

311303122020 is a `hidden beast` number, since 311 + 3 + 0 + 312 + 20 + 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 = 311303121984 and 311303122002.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8716836 + ... + 8752475.

Almost surely, 2311303122020 is an apocalyptic number.

311303122020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311303122020 is an abundant number, since it is smaller than the sum of its proper divisors (754045400988).

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

311303122020 is a wasteful number, since it uses less digits than its factorization.

311303122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17469343 (or 17469332 counting only the distinct ones).

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

Adding to 311303122020 its reverse (20221303113), we get a palindrome (331524425133).

The spelling of 311303122020 in words is "three hundred eleven billion, three hundred three million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 8910 17820 17469311 34938622 52407933 69877244 87346555 104815866 157223799 174693110 192162421 209631732 262039665 314447598 349386220 384324842 471671397 524079330 576487263 628895196 768649684 786118995 943342794 960812105 1048158660 1152974526 1415014191 1572237990 1729461789 1886685588 1921624210 2305949052 2358356985 2830028382 2882436315 3144475980 3458923578 3843248420 4716713970 5188385367 5660056764 5764872630 6917847156 7075070955 8647308945 9433427940 10376770734 11529745260 14150141910 15565156101 17294617890 20753541468 25941926835 28300283820 31130312202 34589235780 51883853670 62260624404 77825780505 103767707340 155651561010 311303122020