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133031123412 = 22311320534057
BaseRepresentation
bin111101111100101000…
…1011101100111010100
3110201101011112021020220
41323321101131213110
54134421431422122
6141040314354340
712416430614565
oct1737121354724
9421334467226
10133031123412
1151466668000
1221947a2b9b0
13c710b65495
14661dc9416c
1536d900425c
hex1ef945d9d4

133031123412 has 96 divisors (see below), whose sum is σ = 341673730944. Its totient is φ = 40282894080.

The previous prime is 133031123369. The next prime is 133031123413. The reversal of 133031123412 is 214321130331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133031123413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32788488 + ... + 32792544.

It is an arithmetic number, because the mean of its divisors is an integer number (3559101364).

Almost surely, 2133031123412 is an apocalyptic number.

133031123412 is a gapful number since it is divisible by the number (12) 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 133031123412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170836865472).

133031123412 is an abundant number, since it is smaller than the sum of its proper divisors (208642607532).

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

133031123412 is a wasteful number, since it uses less digits than its factorization.

133031123412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6150 (or 6126 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 133031123412 its reverse (214321130331), we get a palindrome (347352253743).

The spelling of 133031123412 in words is "one hundred thirty-three billion, thirty-one million, one hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1331 1452 2053 2662 3993 4057 4106 5324 6159 7986 8114 8212 12171 12318 15972 16228 22583 24342 24636 44627 45166 48684 67749 89254 90332 133881 135498 178508 248413 267762 270996 490897 496826 535524 745239 981794 993652 1472691 1490478 1963588 2732543 2945382 2980956 5399867 5465086 5890764 8197629 8329021 10799734 10930172 16199601 16395258 16658042 21599468 24987063 32399202 32790516 33316084 49974126 64798404 91619231 99948252 183238462 274857693 366476924 549715386 1007811541 1099430772 2015623082 3023434623 4031246164 6046869246 11085926951 12093738492 22171853902 33257780853 44343707804 66515561706 133031123412