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10103212122021 = 3217473116776673
BaseRepresentation
bin1001001100000101011001…
…0111101001111110100101
31022202212011020001022010100
42103001112113221332211
52311012334300401041
633253203535014313
72061635005041114
oct223012627517645
938685136038110
1010103212122021
113245825941a17
1211720a136a399
1358396228c185
1426cdd8a11c7b
15127c1b1726b6
hex930565e9fa5

10103212122021 has 96 divisors (see below), whose sum is σ = 15857239477248. Its totient is φ = 6174381957120.

The previous prime is 10103212122011. The next prime is 10103212122083. The reversal of 10103212122021 is 12022121230101.

10103212122021 is a `hidden beast` number, since 101 + 0 + 321 + 2 + 1 + 220 + 21 = 666.

It is not a de Polignac number, because 10103212122021 - 210 = 10103212120997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10103212121985 and 10103212122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103212122001) 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, 1514040141 + ... + 1514046813.

It is an arithmetic number, because the mean of its divisors is an integer number (165179577888).

Almost surely, 210103212122021 is an apocalyptic number.

It is an amenable number.

10103212122021 is a deficient number, since it is larger than the sum of its proper divisors (5754027355227).

10103212122021 is a wasteful number, since it uses less digits than its factorization.

10103212122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7731 (or 7728 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10103212122021 its reverse (12022121230101), we get a palindrome (22125333352122).

The spelling of 10103212122021 in words is "ten trillion, one hundred three billion, two hundred twelve million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 17 47 51 141 153 311 423 677 799 933 2031 2397 2799 5287 6093 6673 7191 11509 14617 15861 20019 31819 34527 43851 47583 60057 95457 103581 113441 131553 210547 248489 286371 313631 340323 540923 631641 745467 940893 1020969 1622769 1894923 2075303 2236401 2822679 3579299 4517621 4868307 5331727 6225909 9895709 10737897 13552863 15995181 18677727 29687127 32213691 35280151 40658589 47985543 76799557 89061381 97539241 105840453 168227053 212328187 230398671 292617723 317521359 504681159 636984561 691196013 877853169 1404980131 1514043477 1658167097 1910953683 3609579179 4214940393 4974501291 10828737537 12644821179 14923503873 23884662227 32486212611 66034066157 71653986681 198102198471 214961960043 594306595413 1122579124669 3367737374007 10103212122021