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10213011311300 = 22527127121394709
BaseRepresentation
bin1001010010011110011011…
…1010010100101011000100
31100011100120022121000222022
42110213212322110223010
52314312221343430200
633415443112422312
72102602640536430
oct224474672245304
940140508530868
1010213011311300
11328834a6a5a56
12118b4249a7998
1359110cca9a65
142744532819c0
1512a9e5800885
hex949e6e94ac4

10213011311300 has 144 divisors (see below), whose sum is σ = 25549018091520. Its totient is φ = 3471131543040.

The previous prime is 10213011311263. The next prime is 10213011311309. The reversal of 10213011311300 is 311311031201.

It is not an unprimeable number, because it can be changed into a prime (10213011311309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107788346 + ... + 107883054.

Almost surely, 210213011311300 is an apocalyptic number.

10213011311300 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 10213011311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12774509045760).

10213011311300 is an abundant number, since it is smaller than the sum of its proper divisors (15336006780220).

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

10213011311300 is a wasteful number, since it uses less digits than its factorization.

10213011311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96070 (or 96063 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10213011311300 its reverse (311311031201), we get a palindrome (10524322342501).

The spelling of 10213011311300 in words is "ten trillion, two hundred thirteen billion, eleven million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 127 140 175 254 350 508 635 700 889 1213 1270 1778 2426 2540 3175 3556 4445 4852 6065 6350 8491 8890 12130 12700 16982 17780 22225 24260 30325 33964 42455 44450 60650 84910 88900 94709 121300 154051 169820 189418 212275 308102 378836 424550 473545 616204 662963 770255 849100 947090 1078357 1325926 1540510 1894180 2156714 2367725 2651852 3081020 3314815 3851275 4313428 4735450 5391785 6629630 7702550 9470900 10783570 12028043 13259260 15405100 16574075 21567140 24056086 26958925 33148150 48112172 53917850 60140215 66296300 84196301 107835700 114882017 120280430 168392602 229764034 240560860 300701075 336785204 420981505 459528068 574410085 601402150 804174119 841963010 1148820170 1202804300 1608348238 1683926020 2104907525 2297640340 2872050425 3216696476 4020870595 4209815050 5744100850 8041741190 8419630100 11488201700 14590016159 16083482380 20104352975 29180032318 40208705950 58360064636 72950080795 80417411900 102130113113 145900161590 204260226226 291800323180 364750403975 408520452452 510650565565 729500807950 1021301131130 1459001615900 2042602262260 2553252827825 5106505655650 10213011311300