Search a number
-
+
10210130213000 = 2353199500910243
BaseRepresentation
bin1001010010010011101100…
…1011110011100010001000
31100011002010112022002002212
42110210323023303202020
52314240321313304000
633414245152444252
72102441354602064
oct224447313634210
940132115262085
1010210130213000
113287101367183
12118a95bb49688
13590a71126573
1427425c78aaa4
1512a8c78e6c35
hex9493b2f3888

10210130213000 has 128 divisors (see below), whose sum is σ = 24018901920000. Its totient is φ = 4062321331200.

The previous prime is 10210130212991. The next prime is 10210130213027. The reversal of 10210130213000 is 31203101201.

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, 996785879 + ... + 996796121.

It is an arithmetic number, because the mean of its divisors is an integer number (187647671250).

Almost surely, 210210130213000 is an apocalyptic number.

10210130213000 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 10210130213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12009450960000).

10210130213000 is an abundant number, since it is smaller than the sum of its proper divisors (13808771707000).

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

10210130213000 is a wasteful number, since it uses less digits than its factorization.

10210130213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15472 (or 15458 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10210130213000 its reverse (31203101201), we get a palindrome (10241333314201).

The spelling of 10210130213000 in words is "ten trillion, two hundred ten billion, one hundred thirty million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 199 200 250 398 500 796 995 1000 1592 1990 3980 4975 5009 7960 9950 10018 10243 19900 20036 20486 24875 25045 39800 40072 40972 49750 50090 51215 81944 99500 100180 102430 125225 199000 200360 204860 250450 256075 409720 500900 512150 626125 996791 1001800 1024300 1252250 1280375 1993582 2038357 2048600 2504500 2560750 3987164 4076714 4983955 5009000 5121500 7974328 8153428 9967910 10191785 10243000 16306856 19935820 20383570 24919775 39871640 40767140 49839550 50958925 51307187 81534280 99679100 101917850 102614374 124598875 199358200 203835700 205228748 249197750 254794625 256535935 407671400 410457496 498395500 509589250 513071870 996791000 1019178500 1026143740 1282679675 2038357000 2052287480 2565359350 5130718700 6413398375 10210130213 10261437400 12826796750 20420260426 25653593500 40840520852 51050651065 51307187000 81681041704 102101302130 204202604260 255253255325 408405208520 510506510650 1021013021300 1276266276625 2042026042600 2552532553250 5105065106500 10210130213000