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12313133120 = 265414632027
BaseRepresentation
bin10110111011110101…
…11000000001000000
31011210010022222020102
423131322320001000
5200204130224440
65353453101532
7614062622201
oct133572700100
934703288212
1012313133120
115249496182
1224777878a8
131212cb02b2
1484b44d5a8
154c0ec5b15
hex2ddeb8040

12313133120 has 112 divisors (see below), whose sum is σ = 30115507968. Its totient is φ = 4792381440.

The previous prime is 12313133117. The next prime is 12313133123. The reversal of 12313133120 is 2133131321.

It is an interprime number because it is at equal distance from previous prime (12313133117) and next prime (12313133123).

It is a super-2 number, since 2×123131331202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12313133092 and 12313133101.

It is not an unprimeable number, because it can be changed into a prime (12313133123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6073547 + ... + 6075573.

It is an arithmetic number, because the mean of its divisors is an integer number (268888464).

Almost surely, 212313133120 is an apocalyptic number.

12313133120 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 12313133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15057753984).

12313133120 is an abundant number, since it is smaller than the sum of its proper divisors (17802374848).

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

12313133120 is a wasteful number, since it uses less digits than its factorization.

12313133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 12313133120 its reverse (2133131321), we get a palindrome (14446264441).

The spelling of 12313133120 in words is "twelve billion, three hundred thirteen million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 463 656 820 926 1312 1640 1852 2027 2315 2624 3280 3704 4054 4630 6560 7408 8108 9260 10135 13120 14816 16216 18520 18983 20270 29632 32432 37040 37966 40540 64864 74080 75932 81080 83107 94915 129728 148160 151864 162160 166214 189830 303728 324320 332428 379660 415535 607456 648640 664856 759320 831070 938501 1214912 1329712 1518640 1662140 1877002 2659424 3037280 3324280 3754004 4692505 5318848 6074560 6648560 7508008 9385010 13297120 15016016 18770020 26594240 30032032 37540040 38478541 60064064 75080080 76957082 150160160 153914164 192392705 300320320 307828328 384785410 615656656 769570820 1231313312 1539141640 2462626624 3078283280 6156566560 12313133120