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313002111300 = 2235217311979773
BaseRepresentation
bin1001000111000000110…
…00010011000101000100
31002220220122200201100220
410203200120103011010
520112012020030200
6355442521304340
731420325022354
oct4434030230504
91086818621326
10313002111300
1111081a593a2a
12507b39350b0
132369278c5a8
1411213c9ab64
15821ddcb4a0
hex48e0613144

313002111300 has 144 divisors (see below), whose sum is σ = 989823647232. Its totient is φ = 76023244800.

The previous prime is 313002111287. The next prime is 313002111341. The reversal of 313002111300 is 3111200313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 313002111300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 831787 + ... + 1147986.

It is an arithmetic number, because the mean of its divisors is an integer number (6873775328).

Almost surely, 2313002111300 is an apocalyptic number.

313002111300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313002111300 is an abundant number, since it is smaller than the sum of its proper divisors (676821535932).

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

313002111300 is a wasteful number, since it uses less digits than its factorization.

313002111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979838 (or 1979831 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 313002111300 its reverse (3111200313), we get a palindrome (316113311613).

The spelling of 313002111300 in words is "three hundred thirteen billion, two million, one hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 31 34 50 51 60 62 68 75 85 93 100 102 124 150 155 170 186 204 255 300 310 340 372 425 465 510 527 620 775 850 930 1020 1054 1275 1550 1581 1700 1860 2108 2325 2550 2635 3100 3162 4650 5100 5270 6324 7905 9300 10540 13175 15810 26350 31620 39525 52700 79050 158100 1979773 3959546 5939319 7919092 9898865 11878638 19797730 23757276 29696595 33656141 39595460 49494325 59393190 61372963 67312282 98988650 100968423 118786380 122745926 134624564 148482975 168280705 184118889 197977300 201936846 245491852 296965950 306864815 336561410 368237778 403873692 504842115 593931900 613729630 673122820 736475556 841403525 920594445 1009684230 1043340371 1227459260 1534324075 1682807050 1841188890 2019368460 2086680742 2524210575 3068648150 3130021113 3365614100 3682377780 4173361484 4602972225 5048421150 5216701855 6137296300 6260042226 9205944450 10096842300 10433403710 12520084452 15650105565 18411888900 20866807420 26083509275 31300211130 52167018550 62600422260 78250527825 104334037100 156501055650 313002111300