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122130300033 = 32767143920107
BaseRepresentation
bin111000110111110001…
…0000111110010000001
3102200020110201001202200
41301233202013302001
54000110324100113
6132034512103413
711552334264450
oct1615742076201
9380213631680
10122130300033
1147882409065
121b805234b69
13b694653931
145ca823cb97
15329c005873
hex1c6f887c81

122130300033 has 48 divisors (see below), whose sum is σ = 204773437440. Its totient is φ = 68695928928.

The previous prime is 122130299971. The next prime is 122130300043. The reversal of 122130300033 is 330003031221.

It is not a de Polignac number, because 122130300033 - 217 = 122130168961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122130299979 and 122130300015.

It is not an unprimeable number, because it can be changed into a prime (122130300043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6063966 + ... + 6084072.

It is an arithmetic number, because the mean of its divisors is an integer number (4266113280).

Almost surely, 2122130300033 is an apocalyptic number.

It is an amenable number.

122130300033 is a deficient number, since it is larger than the sum of its proper divisors (82643137407).

122130300033 is a wasteful number, since it uses less digits than its factorization.

122130300033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21626 (or 21623 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 122130300033 its reverse (330003031221), we get a palindrome (452133331254).

The spelling of 122130300033 in words is "one hundred twenty-two billion, one hundred thirty million, three hundred thousand, thirty-three".

Divisors: 1 3 7 9 21 63 67 201 469 603 1407 1439 4221 4317 10073 12951 20107 30219 60321 90657 96413 140749 180963 289239 422247 674891 867717 1266741 1347169 2024673 4041507 6074019 9430183 12124521 28290549 28933973 84871647 86801919 202537811 260405757 607613433 1822840299 1938576191 5815728573 13570033337 17447185719 40710100011 122130300033