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133120333401 = 311431971992393
BaseRepresentation
bin111101111111010010…
…1110001011001011001
3110201121101101121100120
41323332211301121121
54140112301132101
6141053222423453
712421563110166
oct1737645613131
9421541347316
10133120333401
1151501a59870
1221971891b89
13c72649b963
14662ba7706d
1536e1c76b36
hex1efe971659

133120333401 has 64 divisors (see below), whose sum is σ = 200222668800. Its totient is φ = 77976138240.

The previous prime is 133120333397. The next prime is 133120333421. The reversal of 133120333401 is 104333021331.

It is a happy number.

It is not a de Polignac number, because 133120333401 - 22 = 133120333397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133120333421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55627861 + ... + 55630253.

It is an arithmetic number, because the mean of its divisors is an integer number (3128479200).

Almost surely, 2133120333401 is an apocalyptic number.

133120333401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133120333401 is a deficient number, since it is larger than the sum of its proper divisors (67102335399).

133120333401 is a wasteful number, since it uses less digits than its factorization.

133120333401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 133120333401 its reverse (104333021331), we get a palindrome (237453354732).

The spelling of 133120333401 in words is "one hundred thirty-three billion, one hundred twenty million, three hundred thirty-three thousand, four hundred one".

Divisors: 1 3 11 33 43 129 197 199 473 591 597 1419 2167 2189 2393 6501 6567 7179 8471 8557 25413 25671 26323 39203 78969 93181 94127 102899 117609 279543 282381 308697 431233 471421 476207 1131889 1293699 1414263 1428621 1685729 3395667 5057187 5185631 5238277 15556893 15714831 18543019 20271103 20476901 55629057 60813309 61430703 93812779 222982133 225245911 281438337 668946399 675737733 1031940569 3095821707 4033949497 12101848491 44373444467 133120333401