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312311023020 = 2232537442110607
BaseRepresentation
bin1001000101101110011…
…00000000010110101100
31002212010111021210110200
410202313030000112230
520104103110214040
6355250153033500
731364233615623
oct4426714002654
91085114253420
10312311023020
111104a5481097
12506403b5890
13235b2550609
141118a1a26ba
1581cd3b9630
hex48b73005ac

312311023020 has 144 divisors (see below), whose sum is σ = 973259134848. Its totient is φ = 81006082560.

The previous prime is 312311023007. The next prime is 312311023027. The reversal of 312311023020 is 20320113213.

312311023020 is a `hidden beast` number, since 31 + 231 + 102 + 302 + 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 = 312311022984 and 312311023002.

It is not an unprimeable number, because it can be changed into a prime (312311023027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29438557 + ... + 29449163.

It is an arithmetic number, because the mean of its divisors is an integer number (6758743992).

Almost surely, 2312311023020 is an apocalyptic number.

312311023020 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 312311023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486629567424).

312311023020 is an abundant number, since it is smaller than the sum of its proper divisors (660948111828).

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

312311023020 is a wasteful number, since it uses less digits than its factorization.

312311023020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15080 (or 15075 counting only the distinct ones).

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

Adding to 312311023020 its reverse (20320113213), we get a palindrome (332631136233).

The spelling of 312311023020 in words is "three hundred twelve billion, three hundred eleven million, twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 4421 6660 8842 10607 13263 17684 21214 22105 26526 31821 39789 42428 44210 53035 53052 63642 66315 79578 88420 95463 106070 127284 132630 159105 159156 163577 190926 198945 212140 265260 318210 327154 381852 392459 397890 477315 490731 636420 654308 784918 795780 817885 954630 981462 1177377 1472193 1569836 1635770 1909260 1962295 1962924 2354754 2453655 2944386 3271540 3532131 3924590 4709508 4907310 5886885 5888772 7064262 7360965 7849180 9814620 11773770 14128524 14721930 17660655 23547540 29443860 35321310 46893547 70642620 93787094 140680641 187574188 234467735 281361282 422041923 468935470 562722564 703403205 844083846 937870940 1406806410 1688167692 1735061239 2110209615 2813612820 3470122478 4220419230 5205183717 6940244956 8440838460 8675306195 10410367434 15615551151 17350612390 20820734868 26025918585 31231102302 34701224780 52051837170 62462204604 78077755755 104103674340 156155511510 312311023020