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202130100300 = 2235217304113033
BaseRepresentation
bin1011110000111111100…
…1001001000001001100
3201022201210102222210010
42330033321021001030
511302430301202200
6232505101313220
720413654334652
oct2741771110114
9638653388703
10202130100300
11787a5199077
1233210b65810
13160a371885b
149ad6d64dd2
1553d0485150
hex2f0fe4904c

202130100300 has 144 divisors (see below), whose sum is σ = 619482663072. Its totient is φ = 50710118400.

The previous prime is 202130100241. The next prime is 202130100329. The reversal of 202130100300 is 3001031202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 15502584 + ... + 15515616.

It is an arithmetic number, because the mean of its divisors is an integer number (4301962938).

Almost surely, 2202130100300 is an apocalyptic number.

202130100300 is a gapful number since it is divisible by the number (20) 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 202130100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309741331536).

202130100300 is an abundant number, since it is smaller than the sum of its proper divisors (417352562772).

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

202130100300 is a wasteful number, since it uses less digits than its factorization.

202130100300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16108 (or 16101 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 202130100300 its reverse (3001031202), we get a palindrome (205131131502).

The spelling of 202130100300 in words is "two hundred two billion, one hundred thirty million, one hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 3041 5100 6082 9123 12164 13033 15205 18246 26066 30410 36492 39099 45615 51697 52132 60820 65165 76025 78198 91230 103394 130330 152050 155091 156396 182460 195495 206788 221561 228075 258485 260660 304100 310182 325825 390990 443122 456150 516970 620364 651650 664683 775455 781980 886244 912300 977475 1033940 1107805 1292425 1303300 1329366 1550910 1954950 2215610 2584850 2658732 3101820 3323415 3877275 3909900 4431220 5169700 5539025 6646830 7754550 11078050 13293660 15509100 16617075 22156100 33234150 39633353 66468300 79266706 118900059 158533412 198166765 237800118 396333530 475600236 594500295 673767001 792667060 990833825 1189000590 1347534002 1981667650 2021301003 2378001180 2695068004 2972501475 3368835005 3963335300 4042602006 5945002950 6737670010 8085204012 10106505015 11890005900 13475340020 16844175025 20213010030 33688350050 40426020060 50532525075 67376700100 101065050150 202130100300