Search a number
-
+
154051121133 = 3571313950119
BaseRepresentation
bin1000111101111000101…
…0011000111111101101
3112201122002100210100000
42033132022120333231
510010444041334013
6154434202054513
714062346632020
oct2173612307755
9481562323300
10154051121133
115a372929448
1225a334aa439
13116b095c660
1476558111b7
1540195a1973
hex23de298fed

154051121133 has 96 divisors (see below), whose sum is σ = 286060902400. Its totient is φ = 80671536576.

The previous prime is 154051121129. The next prime is 154051121137. The reversal of 154051121133 is 331121150451.

154051121133 is a `hidden beast` number, since 1 + 5 + 405 + 1 + 121 + 133 = 666.

It is an interprime number because it is at equal distance from previous prime (154051121129) and next prime (154051121137).

It is not a de Polignac number, because 154051121133 - 22 = 154051121129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 154051121097 and 154051121106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154051121137) 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 95 ways as a sum of consecutive naturals, for example, 3048648 + ... + 3098766.

Almost surely, 2154051121133 is an apocalyptic number.

154051121133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

154051121133 is a deficient number, since it is larger than the sum of its proper divisors (132009781267).

154051121133 is a wasteful number, since it uses less digits than its factorization.

154051121133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50293 (or 50281 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 154051121133 its reverse (331121150451), we get a palindrome (485172271584).

The spelling of 154051121133 in words is "one hundred fifty-four billion, fifty-one million, one hundred twenty-one thousand, one hundred thirty-three".

Divisors: 1 3 7 9 13 21 27 39 63 81 91 117 139 189 243 273 351 417 567 819 973 1053 1251 1701 1807 2457 2919 3159 3753 5421 7371 8757 11259 12649 16263 22113 26271 33777 37947 48789 50119 78813 113841 146367 150357 236439 341523 350833 439101 451071 651547 1024569 1052499 1353213 1954641 3073707 3157497 4059639 4560829 5863923 6966541 9472491 12178917 13682487 17591769 20899623 28417473 41047461 48765787 52775307 62698869 85252419 90565033 123142383 146297361 158325921 188096607 271695099 369427149 438892083 564289821 633955231 815085297 1108281447 1316676249 1692869463 1901865693 2445255891 3950028747 5705597079 7335767673 11850086241 17116791237 22007303019 51350373711 154051121133