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12314151300 = 223521137100853
BaseRepresentation
bin10110111011111101…
…10000100110000100
31011210012020200220210
423131332300212010
5200204410320200
65353530555420
7614104362513
oct133576604604
934705220823
1012314151300
11524a021150
122477b98b70
131213278879
1484b63667a
154c1127650
hex2ddfb0984

12314151300 has 144 divisors (see below), whose sum is σ = 39918820032. Its totient is φ = 2904537600.

The previous prime is 12314151277. The next prime is 12314151323. The reversal of 12314151300 is 315141321.

It is an interprime number because it is at equal distance from previous prime (12314151277) and next prime (12314151323).

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, 71674 + ... + 172526.

It is an arithmetic number, because the mean of its divisors is an integer number (277214028).

Almost surely, 212314151300 is an apocalyptic number.

12314151300 is a gapful number since it is divisible by the number (10) 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 12314151300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19959410016).

12314151300 is an abundant number, since it is smaller than the sum of its proper divisors (27604668732).

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

12314151300 is a wasteful number, since it uses less digits than its factorization.

12314151300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100918 (or 100911 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 12314151300 its reverse (315141321), we get a palindrome (12629292621).

The spelling of 12314151300 in words is "twelve billion, three hundred fourteen million, one hundred fifty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1850 2035 2220 2442 2775 3300 3700 4070 4884 5550 6105 8140 10175 11100 12210 20350 24420 30525 40700 61050 100853 122100 201706 302559 403412 504265 605118 1008530 1109383 1210236 1512795 2017060 2218766 2521325 3025590 3328149 3731561 4437532 5042650 5546915 6051180 6656298 7463122 7563975 10085300 11093830 11194683 13312596 14926244 15127950 16640745 18657805 22187660 22389366 27734575 30255900 33281490 37315610 41047171 44778732 55469150 55973415 66562980 74631220 82094342 83203725 93289025 110938300 111946830 123141513 164188684 166407450 186578050 205235855 223893660 246283026 279867075 332814900 373156100 410471710 492566052 559734150 615707565 820943420 1026179275 1119468300 1231415130 2052358550 2462830260 3078537825 4104717100 6157075650 12314151300