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102311133320 = 235111719936863
BaseRepresentation
bin101111101001000111…
…0000000000010001000
3100210002020110002011002
41133102032000002020
53134013122231240
6115000122354132
710251236166344
oct1372216000210
9323066402132
10102311133320
113a431a70840
12179b395b948
139856582256
144d47d8a624
1529dc0a9d15
hex17d2380088

102311133320 has 128 divisors (see below), whose sum is σ = 266071703040. Its totient is φ = 34992906240.

The previous prime is 102311133319. The next prime is 102311133343. The reversal of 102311133320 is 23331113201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102311133292 and 102311133301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14904209 + ... + 14911071.

It is an arithmetic number, because the mean of its divisors is an integer number (2078685180).

Almost surely, 2102311133320 is an apocalyptic number.

102311133320 is a gapful number since it is divisible by the number (10) 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 102311133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133035851520).

102311133320 is an abundant number, since it is smaller than the sum of its proper divisors (163760569720).

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

102311133320 is a wasteful number, since it uses less digits than its factorization.

102311133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8895 (or 8891 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 102311133320 its reverse (23331113201), we get a palindrome (125642246521).

The spelling of 102311133320 in words is "one hundred two billion, three hundred eleven million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 1993 3740 3986 6863 7480 7972 9965 13726 15944 19930 21923 27452 33881 34315 39860 43846 54904 67762 68630 75493 79720 87692 109615 116671 135524 137260 150986 169405 175384 219230 233342 271048 274520 301972 338810 372691 377465 438460 466684 583355 603944 677620 745382 754930 876920 933368 1166710 1283381 1355240 1490764 1509860 1863455 2333420 2566762 2981528 3019720 3726910 4666840 5133524 6416905 7453820 10267048 12833810 13677959 14907640 25667620 27355918 51335240 54711836 68389795 109423672 136779590 150457549 232525303 273559180 300915098 465050606 547118360 601830196 752287745 930101212 1162626515 1203660392 1504575490 1860202424 2325253030 2557778333 3009150980 4650506060 5115556666 6018301960 9301012120 10231113332 12788891665 20462226664 25577783330 51155566660 102311133320