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23003122122 = 2351922311171
BaseRepresentation
bin10101011011000101…
…111100100111001010
32012101010102200100000
4111123011330213022
5334102244401442
614322324423430
71443016211661
oct253305744712
965333380300
1023003122122
119834732132
12455b847b76
132227913286
1411830a1dd8
158e9729d4c
hex55b17c9ca

23003122122 has 96 divisors (see below), whose sum is σ = 54655211520. Its totient is φ = 7230921840.

The previous prime is 23003122097. The next prime is 23003122171. The reversal of 23003122122 is 22122130032.

23003122122 is a `hidden beast` number, since 230 + 0 + 312 + 2 + 122 = 666.

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 = 23003122095 and 23003122104.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2053597 + ... + 2064767.

It is an arithmetic number, because the mean of its divisors is an integer number (569325120).

Almost surely, 223003122122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23003122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27327605760).

23003122122 is an abundant number, since it is smaller than the sum of its proper divisors (31652089398).

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

23003122122 is a wasteful number, since it uses less digits than its factorization.

23003122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11430 (or 11418 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23003122122 its reverse (22122130032), we get a palindrome (45125252154).

The spelling of 23003122122 in words is "twenty-three billion, three million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 223 243 342 446 486 513 669 1026 1338 1539 2007 3078 4014 4237 4617 6021 8474 9234 11171 12042 12711 18063 22342 25422 33513 36126 38133 54189 67026 76266 100539 108378 114399 201078 212249 228798 301617 343197 424498 603234 636747 686394 904851 1029591 1273494 1809702 1910241 2059182 2491133 2714553 3820482 4982266 5429106 5730723 7473399 11461446 14946798 17192169 22420197 34384338 44840394 47331527 51576507 67260591 94663054 103153014 134521182 141994581 201781773 283989162 403563546 425983743 605345319 851967486 1210690638 1277951229 2555902458 3833853687 7667707374 11501561061 23003122122