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133112013031424 = 211714962316491
BaseRepresentation
bin11110010001000010001110…
…010000001000100000000000
3122110022101101001120010120102
4132101002032100020200000
5114421401400314001144
61151034451541301532
740016011526054360
oct3621021620104000
9573271331503512
10133112013031424
1139460540151349
1212b19bbba048a8
13593754166c92b
1424c29277669a0
15105c8379bdb4e
hex79108e408800

133112013031424 has 96 divisors (see below), whose sum is σ = 306223241688000. Its totient is φ = 56665132154880.

The previous prime is 133112013031397. The next prime is 133112013031427. The reversal of 133112013031424 is 424130310211331.

It is a super-2 number, since 2×1331120130314242 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133112013031427) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 29022182 + ... + 33294309.

It is an arithmetic number, because the mean of its divisors is an integer number (3189825434250).

Almost surely, 2133112013031424 is an apocalyptic number.

133112013031424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

133112013031424 is an abundant number, since it is smaller than the sum of its proper divisors (173111228656576).

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

133112013031424 is an equidigital number, since it uses as much as digits as its factorization.

133112013031424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62316669 (or 62316649 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 133112013031424 its reverse (424130310211331), we get a palindrome (557242323242755).

The spelling of 133112013031424 in words is "one hundred thirty-three trillion, one hundred twelve billion, thirteen million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 149 224 256 298 448 512 596 896 1024 1043 1192 1792 2048 2086 2384 3584 4172 4768 7168 8344 9536 14336 16688 19072 33376 38144 66752 76288 133504 152576 267008 305152 534016 1068032 2136064 62316491 124632982 249265964 436215437 498531928 872430874 997063856 1744861748 1994127712 3489723496 3988255424 6979446992 7976510848 9285157159 13958893984 15953021696 18570314318 27917787968 31906043392 37140628636 55835575936 63812086784 64996100113 74281257272 111671151872 127624173568 129992200226 148562514544 223342303744 259984400452 297125029088 446684607488 519968800904 594250058176 893369214976 1039937601808 1188500116352 2079875203616 2377000232704 4159750407232 4754000465408 8319500814464 9508000930816 16639001628928 19016001861632 33278003257856 66556006515712 133112013031424