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122112003033 = 361011679931
BaseRepresentation
bin111000110111001110…
…0010100101111011001
3102200012012021111000000
41301232130110233121
54000041133044113
6132033020003213
711552022620436
oct1615634245731
9380165244000
10122112003033
1147873051279
121b7bb090509
13b6909186c7
145ca5a38b8d
15329a5de373
hex1c6e714bd9

122112003033 has 56 divisors (see below), whose sum is σ = 186022863936. Its totient is φ = 80111268000.

The previous prime is 122112003023. The next prime is 122112003043. The reversal of 122112003033 is 330300211221.

It is an interprime number because it is at equal distance from previous prime (122112003023) and next prime (122112003043).

It is not a de Polignac number, because 122112003033 - 28 = 122112002777 is a prime.

It is a super-2 number, since 2×1221120030332 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122112002997 and 122112003015.

It is not an unprimeable number, because it can be changed into a prime (122112003023) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12291078 + ... + 12301008.

It is an arithmetic number, because the mean of its divisors is an integer number (3321836856).

Almost surely, 2122112003033 is an apocalyptic number.

It is an amenable number.

122112003033 is a deficient number, since it is larger than the sum of its proper divisors (63910860903).

122112003033 is an equidigital number, since it uses as much as digits as its factorization.

122112003033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10217 (or 10202 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122112003033 its reverse (330300211221), we get a palindrome (452412214254).

The spelling of 122112003033 in words is "one hundred twenty-two billion, one hundred twelve million, three thousand, thirty-three".

Divisors: 1 3 9 27 81 101 167 243 303 501 729 909 1503 2727 4509 8181 9931 13527 16867 24543 29793 40581 50601 73629 89379 121743 151803 268137 455409 804411 1003031 1366227 1658477 2413233 3009093 4098681 4975431 7239699 9027279 12296043 14926293 27081837 44778879 81245511 134336637 167506177 243736533 403009911 502518531 731209599 1209029733 1507555593 4522666779 13568000337 40704001011 122112003033