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2131104200304 = 243311553922211
BaseRepresentation
bin11111000000101111101…
…101010111011001110000
321112201202022112021122110
4133000233231113121300
5234404000133402204
64311003223005320
7306652514551212
oct37005755273160
97481668467573
102131104200304
11751883843a52
122a5032599840
13125c6812a661
147520886c5b2
153a67cc56889
hex1f02fb57670

2131104200304 has 80 divisors (see below), whose sum is σ = 5686610033664. Its totient is φ = 687009561600.

The previous prime is 2131104200219. The next prime is 2131104200311. The reversal of 2131104200304 is 4030024011312.

It is a super-2 number, since 2×21311042003042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1849759 + ... + 2771969.

Almost surely, 22131104200304 is an apocalyptic number.

2131104200304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131104200304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843305016832).

2131104200304 is an abundant number, since it is smaller than the sum of its proper divisors (3555505833360).

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

2131104200304 is a wasteful number, since it uses less digits than its factorization.

2131104200304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923806 (or 923800 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2131104200304 its reverse (4030024011312), we get a palindrome (6161128211616).

The spelling of 2131104200304 in words is "two trillion, one hundred thirty-one billion, one hundred four million, two hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 1553 3106 4659 6212 9318 12424 18636 24848 37272 48143 74544 96286 144429 192572 288858 385144 577716 770288 922211 1155432 1844422 2310864 2766633 3688844 5533266 7377688 11066532 14755376 22133064 28588541 44266128 57177082 85765623 114354164 171531246 228708328 343062492 457416656 686124984 1372249968 1432193683 2864387366 4296581049 5728774732 8593162098 11457549464 17186324196 22915098928 34372648392 44398004173 68745296784 88796008346 133194012519 177592016692 266388025038 355184033384 532776050076 710368066768 1065552100152 2131104200304