Search a number
-
+
1010203312300 = 2252713791405207
BaseRepresentation
bin11101011001101001100…
…11110100000010101100
310120120111210202101122121
432230310303310002230
5113022344021443200
62052025254522324
7132661531322140
oct16546463640254
93516453671577
101010203312300
1135a4744854a6
1214394b0663a4
137435312cb40
1436c735b1220
151b4273d4e1a
hexeb34cf40ac

1010203312300 has 144 divisors (see below), whose sum is σ = 2732174018560. Its totient is φ = 315665475840.

The previous prime is 1010203312271. The next prime is 1010203312309. The reversal of 1010203312300 is 32133020101.

1010203312300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1010203312309) 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, 16297 + ... + 1421503.

Almost surely, 21010203312300 is an apocalyptic number.

1010203312300 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 1010203312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366087009280).

1010203312300 is an abundant number, since it is smaller than the sum of its proper divisors (1721970706260).

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

1010203312300 is a wasteful number, since it uses less digits than its factorization.

1010203312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405320 (or 1405313 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1010203312300 its reverse (32133020101), we get a palindrome (1042336332401).

The spelling of 1010203312300 in words is "one trillion, ten billion, two hundred three million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 79 91 100 130 140 158 175 182 260 316 325 350 364 395 455 553 650 700 790 910 1027 1106 1300 1580 1820 1975 2054 2212 2275 2765 3950 4108 4550 5135 5530 7189 7900 9100 10270 11060 13825 14378 20540 25675 27650 28756 35945 51350 55300 71890 102700 143780 179725 359450 718900 1405207 2810414 5620828 7026035 9836449 14052070 18267691 19672898 28104140 35130175 36535382 39345796 49182245 70260350 73070764 91338455 98364490 111011353 127873837 140520700 182676910 196728980 222022706 245911225 255747674 365353820 444045412 456692275 491822450 511495348 555056765 639369185 777079471 913384550 983644900 1110113530 1278738370 1443147589 1554158942 1826769100 2220227060 2557476740 2775283825 2886295178 3108317884 3196845925 3885397355 5550567650 5772590356 6393691850 7215737945 7770794710 10102033123 11101135300 12787383700 14431475890 15541589420 19426986775 20204066246 28862951780 36078689725 38853973550 40408132492 50510165615 72157379450 77707947100 101020331230 144314758900 202040662460 252550828075 505101656150 1010203312300