Search a number
-
+
10212123033300 = 2235297593591791
BaseRepresentation
bin1001010010011011000111…
…1101110011111011010100
31100011021021102010211122010
42110212301331303323110
52314303411444031200
633415215021504220
72102541633361566
oct224466175637324
940137242124563
1010212123033300
113287a3424a601
12118b217412070
13590ccac58986
142743ab2d7336
1512a99283c150
hex949b1f73ed4

10212123033300 has 144 divisors (see below), whose sum is σ = 29902075644672. Its totient is φ = 2690608742400.

The previous prime is 10212123033283. The next prime is 10212123033311. The reversal of 10212123033300 is 333032121201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16960405 + ... + 17552195.

It is an arithmetic number, because the mean of its divisors is an integer number (207653303088).

Almost surely, 210212123033300 is an apocalyptic number.

10212123033300 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 10212123033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14951037822336).

10212123033300 is an abundant number, since it is smaller than the sum of its proper divisors (19689952611372).

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

10212123033300 is a wasteful number, since it uses less digits than its factorization.

10212123033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592498 (or 592491 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10212123033300 its reverse (333032121201), we get a palindrome (10545155154501).

The spelling of 10212123033300 in words is "ten trillion, two hundred twelve billion, one hundred twenty-three million, thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 485 582 593 970 1164 1186 1455 1779 1940 2372 2425 2910 2965 3558 4850 5820 5930 7116 7275 8895 9700 11860 14550 14825 17790 29100 29650 35580 44475 57521 59300 88950 115042 172563 177900 230084 287605 345126 575210 591791 690252 862815 1150420 1183582 1438025 1725630 1775373 2367164 2876050 2958955 3451260 3550746 4314075 5752100 5917910 7101492 8628150 8876865 11835820 14794775 17256300 17753730 29589550 35507460 44384325 57403727 59179100 88768650 114807454 172211181 177537300 229614908 287018635 344422362 350932063 574037270 688844724 701864126 861055905 1052796189 1148074540 1403728252 1435093175 1722111810 1754660315 2105592378 2870186350 3444223620 3509320630 4211184756 4305279525 5263980945 5740372700 7018641260 8610559050 8773301575 10527961890 17221118100 17546603150 21055923780 26319904725 34040410111 35093206300 52639809450 68080820222 102121230333 105279618900 136161640444 170202050555 204242460666 340404101110 408484921332 510606151665 680808202220 851010252775 1021212303330 1702020505550 2042424606660 2553030758325 3404041011100 5106061516650 10212123033300