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402130111300 = 2252198310932333
BaseRepresentation
bin1011101101000001101…
…00101000101101000100
31102102222010202020100221
411312200310220231010
523042030302030200
6504422551514124
741024105356021
oct5664064505504
91372863666327
10402130111300
111455a6a67565
1265b28688944
132bbc7a3ca28
141566b04a548
15a6d890c91a
hex5da0d28b44

402130111300 has 144 divisors (see below), whose sum is σ = 930866045760. Its totient is φ = 150347957760.

The previous prime is 402130111297. The next prime is 402130111321. The reversal of 402130111300 is 3111031204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172364934 + ... + 172367266.

It is an arithmetic number, because the mean of its divisors is an integer number (6464347540).

Almost surely, 2402130111300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402130111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465433022880).

402130111300 is an abundant number, since it is smaller than the sum of its proper divisors (528735934460).

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

402130111300 is a wasteful number, since it uses less digits than its factorization.

402130111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 402130111300 its reverse (3111031204), we get a palindrome (405241142504).

The spelling of 402130111300 in words is "four hundred two billion, one hundred thirty million, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 83 95 100 166 190 332 380 415 475 830 950 1093 1577 1660 1900 2075 2186 2333 3154 4150 4372 4666 5465 6308 7885 8300 9332 10930 11665 15770 20767 21860 23330 27325 31540 39425 41534 44327 46660 54650 58325 78850 83068 88654 90719 103835 109300 116650 157700 177308 181438 193639 207670 221635 233300 362876 387278 415340 443270 453595 519175 774556 886540 907190 968195 1038350 1108175 1723661 1814380 1936390 2076700 2216350 2267975 2549969 3447322 3679141 3872780 4432700 4535950 4840975 5099938 6894644 7358282 8618305 9071900 9681950 10199876 12749845 14716564 17236610 18395705 19363900 25499690 34473220 36791410 43091525 48449411 50999380 63749225 73582820 86183050 91978525 96898822 127498450 172366100 183957050 193797644 211647427 242247055 254996900 367914100 423294854 484494110 846589708 968988220 1058237135 1211235275 2116474270 2422470550 4021301113 4232948540 4844941100 5291185675 8042602226 10582371350 16085204452 20106505565 21164742700 40213011130 80426022260 100532527825 201065055650 402130111300