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1300112010120 = 2335711140704763
BaseRepresentation
bin10010111010110100101…
…101101110101110001000
311121021211001010011020010
4102322310231232232020
5132300112133310440
62433132504231520
7162633662514450
oct22726455565610
94537731104203
101300112010120
11461413377040
1218bb78a6b5a0
13957a5384711
1446cd63c4d60
1523c43b9d580
hex12eb4b6eb88

1300112010120 has 128 divisors (see below), whose sum is σ = 4862756643840. Its totient is φ = 270153143040.

The previous prime is 1300112010097. The next prime is 1300112010143. The reversal of 1300112010120 is 210102110031.

It is an interprime number because it is at equal distance from previous prime (1300112010097) and next prime (1300112010143).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1300112010096 and 1300112010105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70343142 + ... + 70361621.

It is an arithmetic number, because the mean of its divisors is an integer number (37990286280).

Almost surely, 21300112010120 is an apocalyptic number.

1300112010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300112010120 is an abundant number, since it is smaller than the sum of its proper divisors (3562644633720).

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

1300112010120 is a wasteful number, since it uses less digits than its factorization.

1300112010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140704795 (or 140704791 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1300112010120 its reverse (210102110031), we get a palindrome (1510214120151).

The spelling of 1300112010120 in words is "one trillion, three hundred billion, one hundred twelve million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 140704763 281409526 422114289 562819052 703523815 844228578 984933341 1125638104 1407047630 1547752393 1688457156 1969866682 2110571445 2814095260 2954800023 3095504786 3376914312 3939733364 4221142890 4643257179 4924666705 5628190520 5909600046 6191009572 7738761965 7879466728 8442285780 9286514358 9849333410 10834266751 11819200092 12382019144 14774000115 15477523930 16884571560 18573028716 19698666820 21668533502 23216285895 23638400184 29548000230 30955047860 32502800253 37146057432 39397333640 43337067004 46432571790 54171333755 59096000460 61910095720 65005600506 86674134008 92865143580 108342667510 118192000920 130011201012 162514001265 185730287160 216685335020 260022402024 325028002530 433370670040 650056005060 1300112010120