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122131012003 = 711132919321799
BaseRepresentation
bin111000110111110010…
…0110101100110100011
3102200020112001020101221
41301233210311212203
54000111014341003
6132034535235511
711552343321250
oct1615744654643
9380215036357
10122131012003
1147882854a70
121b805518b97
13b694842a10
145ca8386427
15329c0e67bd
hex1c6f9359a3

122131012003 has 64 divisors (see below), whose sum is σ = 170521344000. Its totient is φ = 84373954560.

The previous prime is 122131011997. The next prime is 122131012013. The reversal of 122131012003 is 300210131221.

It is not a de Polignac number, because 122131012003 - 229 = 121594141091 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122131012013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5591698 + ... + 5613496.

It is an arithmetic number, because the mean of its divisors is an integer number (2664396000).

Almost surely, 2122131012003 is an apocalyptic number.

122131012003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

122131012003 is a deficient number, since it is larger than the sum of its proper divisors (48390331997).

122131012003 is a wasteful number, since it uses less digits than its factorization.

122131012003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22052.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 122131012003 its reverse (300210131221), we get a palindrome (422341143224).

The spelling of 122131012003 in words is "one hundred twenty-two billion, one hundred thirty-one million, twelve thousand, three".

Divisors: 1 7 11 13 29 77 91 143 193 203 319 377 1001 1351 2123 2233 2509 2639 4147 5597 14861 17563 21799 27599 29029 39179 61567 72761 152593 193193 239789 283387 430969 509327 632171 800371 1678523 1983709 3117257 4207207 4425197 5602597 6953881 8218223 21820799 29450449 46279277 48677167 54693691 57527561 90400453 122009003 323954939 382855837 601630601 632803171 854063021 1342099033 1586117039 4211414207 9394693231 11102819273 17447287429 122131012003