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149133417301 = 11243591094457
BaseRepresentation
bin1000101011100100001…
…0110101101101010101
3112020221100211112220001
42022321002311231111
54420411123323201
6152302210411301
713526444063041
oct2127102655525
9466840745801
10149133417301
1158279a20800
1224aa0590b31
13110a8b8632b
14730a653021
153d2c9a4301
hex22b90b5b55

149133417301 has 48 divisors (see below), whose sum is σ = 172182225600. Its totient is φ = 128955214080.

The previous prime is 149133417289. The next prime is 149133417311. The reversal of 149133417301 is 103714331941.

It is a happy number.

149133417301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 149133417301 - 235 = 114773678933 is a prime.

It is a super-2 number, since 2×1491334173012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149133417311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33458265 + ... + 33462721.

It is an arithmetic number, because the mean of its divisors is an integer number (3587129700).

Almost surely, 2149133417301 is an apocalyptic number.

149133417301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

149133417301 is a deficient number, since it is larger than the sum of its proper divisors (23048808299).

149133417301 is a wasteful number, since it uses less digits than its factorization.

149133417301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4690 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 149133417301 in words is "one hundred forty-nine billion, one hundred thirty-three million, four hundred seventeen thousand, three hundred one".

Divisors: 1 11 43 59 109 121 473 649 1199 2537 4457 4687 5203 6431 7139 13189 27907 49027 51557 70741 191651 262963 276533 306977 485813 539297 567127 778151 2108161 2892593 3041863 5343943 11307409 20889959 23189771 28662967 31818523 33460493 58783373 124381499 229789549 315292637 1232507581 1368196489 2527685039 3468219007 13557583391 149133417301