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102103222032 = 2433761553513
BaseRepresentation
bin101111100010111010…
…0111000011100010000
3100202112202020002111000
41133011310320130100
53133101411101112
6114523334222000
710243133032110
oct1370564703420
9322482202430
10102103222032
113a335674a29
12179561b4900
139822488016
144d28509040
1529c8bdb7dc
hex17c5d38710

102103222032 has 160 divisors (see below), whose sum is σ = 340433250560. Its totient is φ = 28694062080.

The previous prime is 102103222007. The next prime is 102103222043. The reversal of 102103222032 is 230222301201.

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 = 102103221996 and 102103222014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92293 + ... + 461220.

It is an arithmetic number, because the mean of its divisors is an integer number (2127707816).

Almost surely, 2102103222032 is an apocalyptic number.

102103222032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102103222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170216625280).

102103222032 is an abundant number, since it is smaller than the sum of its proper divisors (238330028528).

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

102103222032 is a wasteful number, since it uses less digits than its factorization.

102103222032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553598 (or 553586 counting only the distinct ones).

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

Adding to 102103222032 its reverse (230222301201), we get a palindrome (332325523233).

The spelling of 102103222032 in words is "one hundred two billion, one hundred three million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 61 63 72 84 108 112 122 126 144 168 183 189 216 244 252 336 366 378 427 432 488 504 549 732 756 854 976 1008 1098 1281 1464 1512 1647 1708 2196 2562 2928 3024 3294 3416 3843 4392 5124 6588 6832 7686 8784 10248 11529 13176 15372 20496 23058 26352 30744 46116 61488 92232 184464 553513 1107026 1660539 2214052 3321078 3874591 4428104 4981617 6642156 7749182 8856208 9963234 11623773 13284312 14944851 15498364 19926468 23247546 26568624 29889702 30996728 33764293 34871319 39852936 46495092 59779404 61993456 67528586 69742638 79705872 92990184 101292879 104613957 119558808 135057172 139485276 185980368 202585758 209227914 236350051 239117616 270114344 278970552 303878637 405171516 418455828 472700102 540228688 557941104 607757274 709050153 810343032 836911656 911635911 945400204 1215514548 1418100306 1620686064 1673823312 1823271822 1890800408 2127150459 2431029096 2836200612 3646543644 3781600816 4254300918 4862058192 5672401224 6381451377 7293087288 8508601836 11344802448 12762902754 14586174576 17017203672 25525805508 34034407344 51051611016 102103222032