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10121230440321 = 37111310332722069
BaseRepresentation
bin1001001101001000100001…
…0110000101011110000001
31022211120122221200201010120
42103102020112011132001
52311311234443042241
633305343514050453
72063143345156260
oct223221026053601
938746587621116
1010121230440321
1132524317a6170
12117568b719a29
13585574234590
1426dc27a4a5d7
15128422e48666
hex93488585781

10121230440321 has 64 divisors (see below), whose sum is σ = 18295040225280. Its totient is φ = 4806217347840.

The previous prime is 10121230440319. The next prime is 10121230440329. The reversal of 10121230440321 is 12304403212101.

It is not a de Polignac number, because 10121230440321 - 21 = 10121230440319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10121230440291 and 10121230440300.

It is not an unprimeable number, because it can be changed into a prime (10121230440329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16051726 + ... + 16670343.

It is an arithmetic number, because the mean of its divisors is an integer number (285860003520).

Almost surely, 210121230440321 is an apocalyptic number.

10121230440321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121230440321 is a deficient number, since it is larger than the sum of its proper divisors (8173809784959).

10121230440321 is a wasteful number, since it uses less digits than its factorization.

10121230440321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32722206.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10121230440321 its reverse (12304403212101), we get a palindrome (22425633652422).

The spelling of 10121230440321 in words is "ten trillion, one hundred twenty-one billion, two hundred thirty million, four hundred forty thousand, three hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 103 143 231 273 309 429 721 1001 1133 1339 2163 3003 3399 4017 7931 9373 14729 23793 28119 44187 103103 309309 32722069 98166207 229054483 359942759 425386897 687163449 1079828277 1276160691 2519599313 2977708279 3370373107 4679255867 7558797939 8933124837 10111119321 14037767601 23592611749 32754791069 37074104177 43814850391 70777835247 98264373207 111222312531 131444551173 259518729239 306703952737 481963354301 778556187717 920111858211 1445890062903 3373743480107 10121230440321