Search a number
-
+
102310033122 = 23311597141117
BaseRepresentation
bin101111101001000100…
…1110011011011100010
3100210002011101011222000
41133102021303123202
53134012332024442
6115000043024430
710251223634643
oct1372211633342
9323064334860
10102310033122
113a43138a190
12179b350b116
13985628854b
144d47b816ca
1529dbe3dd4c
hex17d22736e2

102310033122 has 128 divisors (see below), whose sum is σ = 255786854400. Its totient is φ = 30047572800.

The previous prime is 102310033087. The next prime is 102310033123. The reversal of 102310033122 is 221330013201.

102310033122 is a `hidden beast` number, since 1 + 0 + 2 + 310 + 0 + 331 + 22 = 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 = 102310033095 and 102310033104.

It is not an unprimeable number, because it can be changed into a prime (102310033123) 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, 2467708 + ... + 2508824.

It is an arithmetic number, because the mean of its divisors is an integer number (1998334800).

Almost surely, 2102310033122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102310033122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127893427200).

102310033122 is an abundant number, since it is smaller than the sum of its proper divisors (153476821278).

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

102310033122 is a wasteful number, since it uses less digits than its factorization.

102310033122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41269 (or 41263 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102310033122 its reverse (221330013201), we get a palindrome (323640046323).

The spelling of 102310033122 in words is "one hundred two billion, three hundred ten million, thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 71 99 118 142 177 198 213 297 354 426 531 594 639 649 781 1062 1278 1298 1562 1593 1917 1947 2343 3186 3834 3894 4189 4686 5841 7029 8378 11682 12567 14058 17523 21087 25134 35046 37701 41117 42174 46079 75402 82234 92158 113103 123351 138237 226206 246702 276474 370053 414711 452287 740106 829422 904574 1110159 1244133 1356861 2220318 2425903 2488266 2713722 2919307 4070583 4851806 5838614 7277709 8141166 8757921 12211749 14555418 17515842 21833127 24423498 26273763 26684933 32112377 43666254 52547526 53369866 64224754 65499381 78821289 80054799 96337131 130998762 157642578 160109598 172239113 192674262 240164397 289011393 344478226 480328794 516717339 578022786 720493191 867034179 1033434678 1440986382 1550152017 1734068358 1894630243 3100304034 3789260486 4650456051 5683890729 9300912102 11367781458 17051672187 34103344374 51155016561 102310033122