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45132320130 = 23519536592267
BaseRepresentation
bin101010000010000110…
…001000110110000010
311022111100102102011020
4222002012020312002
51214412333221010
632422234130310
73155264251152
oct520206106602
9138440372136
1045132320130
1118160022127
1288b6880996
13434345c991
142282074762
151292379470
hexa82188d82

45132320130 has 128 divisors (see below), whose sum is σ = 116397388800. Its totient is φ = 11164817664.

The previous prime is 45132320047. The next prime is 45132320131. The reversal of 45132320130 is 3102323154.

It is a self number, because there is not a number n which added to its sum of digits gives 45132320130.

It is not an unprimeable number, because it can be changed into a prime (45132320131) 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, 19907257 + ... + 19909523.

It is an arithmetic number, because the mean of its divisors is an integer number (909354600).

Almost surely, 245132320130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45132320130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58198694400).

45132320130 is an abundant number, since it is smaller than the sum of its proper divisors (71265068670).

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

45132320130 is a wasteful number, since it uses less digits than its factorization.

45132320130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008.

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 45132320130 its reverse (3102323154), we get a palindrome (48234643284).

The spelling of 45132320130 in words is "forty-five billion, one hundred thirty-two million, three hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 53 57 95 106 114 159 190 265 285 318 530 570 659 795 1007 1318 1590 1977 2014 2267 3021 3295 3954 4534 5035 6042 6590 6801 9885 10070 11335 12521 13602 15105 19770 22670 25042 30210 34005 34927 37563 43073 62605 68010 69854 75126 86146 104781 120151 125210 129219 174635 187815 209562 215365 240302 258438 349270 360453 375630 430730 523905 600755 646095 663613 720906 1047810 1201510 1292190 1327226 1493953 1802265 1990839 2282869 2987906 3318065 3604530 3981678 4481859 4565738 6636130 6848607 7469765 8963718 9954195 11414345 13697214 14939530 19908390 22409295 22828690 28385107 34243035 44818590 56770214 68486070 79179509 85155321 141925535 158359018 170310642 237538527 283851070 395897545 425776605 475077054 791795090 851553210 1187692635 1504410671 2375385270 3008821342 4513232013 7522053355 9026464026 15044106710 22566160065 45132320130