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21120313122 = 2325383926387
BaseRepresentation
bin10011101010110111…
…100110011100100010
32000111220121001221100
4103222313212130202
5321223300004442
613411425335230
71345244461626
oct235267463442
960456531840
1021120313122
118a58958937
124115197516
131cb781b3cc
141044dd1186
158392b584c
hex4eade6722

21120313122 has 48 divisors (see below), whose sum is σ = 46681427520. Its totient is φ = 6898778016.

The previous prime is 21120313117. The next prime is 21120313127. The reversal of 21120313122 is 22131302112.

21120313122 is a `hidden beast` number, since 211 + 20 + 313 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (21120313117) and next prime (21120313127).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21120313095 and 21120313104.

It is not an unprimeable number, because it can be changed into a prime (21120313127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 787213 + ... + 813599.

It is an arithmetic number, because the mean of its divisors is an integer number (972529740).

Almost surely, 221120313122 is an apocalyptic number.

21120313122 is an abundant number, since it is smaller than the sum of its proper divisors (25561114398).

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

21120313122 is a wasteful number, since it uses less digits than its factorization.

21120313122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27287 (or 27284 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21120313122 its reverse (22131302112), we get a palindrome (43251615234).

The spelling of 21120313122 in words is "twenty-one billion, one hundred twenty million, three hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 839 954 1678 2517 5034 7551 15102 26387 44467 52774 79161 88934 133401 158322 237483 266802 400203 474966 800406 1398511 2797022 4195533 8391066 12586599 22138693 25173198 44277386 66416079 132832158 199248237 398496474 1173350729 2346701458 3520052187 7040104374 10560156561 21120313122