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103115154168 = 233313172160113
BaseRepresentation
bin110000000001000100…
…1000110001011111000
3100212011021100120102000
41200002021012023320
53142134434413133
6115212003341000
710310201230425
oct1400211061370
9325137316360
10103115154168
113a8048a8584
1217b99081760
139954012330
144dc2a80d4c
152a37978413
hex18022462f8

103115154168 has 128 divisors (see below), whose sum is σ = 326609236800. Its totient is φ = 29861388288.

The previous prime is 103115154161. The next prime is 103115154169. The reversal of 103115154168 is 861451511301.

103115154168 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 1 + 51 + 541 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103115154161) 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 31 ways as a sum of consecutive naturals, for example, 1032321 + ... + 1127792.

Almost surely, 2103115154168 is an apocalyptic number.

103115154168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103115154168 is an abundant number, since it is smaller than the sum of its proper divisors (223494082632).

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

103115154168 is a wasteful number, since it uses less digits than its factorization.

103115154168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160158 (or 2160148 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

Adding to 103115154168 its reverse (861451511301), we get a palindrome (964566665469).

The spelling of 103115154168 in words is "one hundred three billion, one hundred fifteen million, one hundred fifty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 102 104 108 117 136 153 156 204 216 221 234 306 312 351 408 442 459 468 612 663 702 884 918 936 1224 1326 1404 1768 1836 1989 2652 2808 3672 3978 5304 5967 7956 11934 15912 23868 47736 2160113 4320226 6480339 8640452 12960678 17280904 19441017 25921356 28081469 36721921 38882034 51842712 56162938 58323051 73443842 77764068 84244407 110165763 112325876 116646102 146887684 155528136 168488814 220331526 224651752 233292204 252733221 293775368 330497289 336977628 440663052 466584408 477384973 505466442 660994578 673955256 758199663 881326104 954769946 991491867 1010932884 1321989156 1432154919 1516399326 1909539892 1982983734 2021865768 2643978312 2864309838 3032798652 3819079784 3965967468 4296464757 5728619676 6065597304 7931934936 8592929514 11457239352 12889394271 17185859028 25778788542 34371718056 51557577084 103115154168