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312031303100 = 225211246355697
BaseRepresentation
bin1001000101001101000…
…00111101010110111100
31002211101222221112212122
410202212200331112330
520103020003144400
6355202321422112
731354266212636
oct4424640752674
91084358845778
10312031303100
11110371599400
125058279a938
132356960357a
1411160d8ba56
1581b3a64685
hex48a683d5bc

312031303100 has 108 divisors (see below), whose sum is σ = 745879989792. Its totient is φ = 113218828800.

The previous prime is 312031303093. The next prime is 312031303109. The reversal of 312031303100 is 1303130213.

It is a super-2 number, since 2×3120313031002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312031303109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5574452 + ... + 5630148.

Almost surely, 2312031303100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312031303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372939994896).

312031303100 is an abundant number, since it is smaller than the sum of its proper divisors (433848686692).

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

312031303100 is a wasteful number, since it uses less digits than its factorization.

312031303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56196 (or 56178 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 312031303100 its reverse (1303130213), we get a palindrome (313334433313).

The spelling of 312031303100 in words is "three hundred twelve billion, thirty-one million, three hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 463 484 550 605 926 1100 1210 1852 2315 2420 3025 4630 5093 6050 9260 10186 11575 12100 20372 23150 25465 46300 50930 55697 56023 101860 111394 112046 127325 222788 224092 254650 278485 280115 509300 556970 560230 612667 1113940 1120460 1225334 1392425 1400575 2450668 2784850 2801150 3063335 5569700 5602300 6126670 6739337 12253340 13478674 15316675 25787711 26957348 30633350 33696685 51575422 61266700 67393370 103150844 128938555 134786740 168483425 257877110 283664821 336966850 515754220 567329642 644692775 673933700 1134659284 1289385550 1418324105 2578771100 2836648210 3120313031 5673296420 6240626062 7091620525 12481252124 14183241050 15601565155 28366482100 31203130310 62406260620 78007825775 156015651550 312031303100