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102302101120 = 2752310396689
BaseRepresentation
bin101111101000110101…
…1100010111010000000
3100210001121110012022011
41133101223202322000
53134003314213440
6114555201022304
710251066340402
oct1372153427200
9323047405264
10102302101120
113a42796180a
12179b0924994
13985473c05b
144d46ab8b72
1529db3c39ea
hex17d1ae2e80

102302101120 has 128 divisors (see below), whose sum is σ = 255483072000. Its totient is φ = 39098155008.

The previous prime is 102302101063. The next prime is 102302101151. The reversal of 102302101120 is 21101203201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 102302101120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15290736 + ... + 15297424.

It is an arithmetic number, because the mean of its divisors is an integer number (1995961500).

Almost surely, 2102302101120 is an apocalyptic number.

102302101120 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 102302101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127741536000).

102302101120 is an abundant number, since it is smaller than the sum of its proper divisors (153180970880).

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

102302101120 is a wasteful number, since it uses less digits than its factorization.

102302101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7770 (or 7758 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 102302101120 its reverse (21101203201), we get a palindrome (123403304321).

The spelling of 102302101120 in words is "one hundred two billion, three hundred two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1039 1472 1840 2078 2944 3680 4156 5195 6689 7360 8312 10390 13378 14720 16624 20780 23897 26756 33248 33445 41560 47794 53512 66496 66890 83120 95588 107024 119485 132992 133780 153847 166240 191176 214048 238970 267560 307694 332480 382352 428096 477940 535120 615388 664960 764704 769235 856192 955880 1070240 1230776 1529408 1538470 1911760 2140480 2461552 3058816 3076940 3823520 4280960 4923104 6153880 6949871 7647040 9846208 12307760 13899742 15294080 19692416 24615520 27799484 34749355 49231040 55598968 69498710 98462080 111197936 138997420 159847033 222395872 277994840 319694066 444791744 555989680 639388132 799235165 889583488 1111979360 1278776264 1598470330 2223958720 2557552528 3196940660 4447917440 5115105056 6393881320 10230210112 12787762640 20460420224 25575525280 51151050560 102302101120