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2154134621331 = 337114492307661
BaseRepresentation
bin11111010110001100011…
…011011100110010010011
321121221012100022220001000
4133112030123130302103
5240243131430340311
64325332404513043
7311426315111640
oct37261433346223
97557170286030
102154134621331
11760621921160
122a959b3ab783
131281985ab314
14763913d8dc7
153b079a75056
hex1f58c6dcc93

2154134621331 has 64 divisors (see below), whose sum is σ = 3987639936000. Its totient is φ = 1116538214400.

The previous prime is 2154134621329. The next prime is 2154134621341. The reversal of 2154134621331 is 1331264314512.

2154134621331 is a `hidden beast` number, since 2 + 1 + 54 + 13 + 462 + 133 + 1 = 666.

It is not a de Polignac number, because 2154134621331 - 21 = 2154134621329 is a prime.

It is a super-2 number, since 2×21541346213312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2154134621341) 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, 220360 + ... + 2087301.

It is an arithmetic number, because the mean of its divisors is an integer number (62306874000).

Almost surely, 22154134621331 is an apocalyptic number.

2154134621331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2154134621331 is a deficient number, since it is larger than the sum of its proper divisors (1833505314669).

2154134621331 is a wasteful number, since it uses less digits than its factorization.

2154134621331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308137 (or 2308131 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

Adding to 2154134621331 its reverse (1331264314512), we get a palindrome (3485398935843).

The spelling of 2154134621331 in words is "two trillion, one hundred fifty-four billion, one hundred thirty-four million, six hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 449 693 1347 2079 3143 4041 4939 9429 12123 14817 28287 34573 44451 84861 103719 133353 311157 933471 2307661 6922983 16153627 20768949 25384271 48460881 62306847 76152813 145382643 177689897 228458439 436147929 533069691 685375317 1036139789 1599209073 3108419367 4797627219 7252978523 9325258101 11397537679 21758935569 27975774303 34192613037 65276806707 79782763753 102577839111 195830420121 239348291259 307733517333 718044873777 2154134621331