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213232111300 = 2252131961314083
BaseRepresentation
bin1100011010010110011…
…1111100111011000100
3202101101111211120210201
43012211213330323010
511443144410030200
6241542452100244
721256043016655
oct3064547747304
9671344746721
10213232111300
1182481a7127a
12353ab004684
131715280c130
14a46b5cb52c
15582ee74c6a
hex31a59fcec4

213232111300 has 144 divisors (see below), whose sum is σ = 525426717760. Its totient is φ = 74461109760.

The previous prime is 213232111297. The next prime is 213232111331. The reversal of 213232111300 is 3111232312.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 15134059 + ... + 15148141.

Almost surely, 2213232111300 is an apocalyptic number.

213232111300 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 213232111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262713358880).

213232111300 is an abundant number, since it is smaller than the sum of its proper divisors (312194606460).

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

213232111300 is a wasteful number, since it uses less digits than its factorization.

213232111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14742 (or 14735 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 213232111300 its reverse (3111232312), we get a palindrome (216343343612).

The spelling of 213232111300 in words is "two hundred thirteen billion, two hundred thirty-two million, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 325 380 475 494 613 650 950 988 1226 1235 1300 1900 2452 2470 3065 4940 6130 6175 7969 11647 12260 12350 14083 15325 15938 23294 24700 28166 30650 31876 39845 46588 56332 58235 61300 70415 79690 116470 140830 151411 159380 183079 199225 232940 267577 281660 291175 302822 352075 366158 398450 535154 582350 605644 704150 732316 757055 796900 915395 1070308 1164700 1337885 1408300 1514110 1830790 2675770 3028220 3478501 3661580 3785275 4576975 5351540 6689425 6957002 7570550 8632879 9153950 13378850 13914004 15141100 17265758 17392505 18307900 26757700 34531516 34785010 43164395 69570020 86328790 86962525 112227427 164024701 172657580 173925050 215821975 224454854 328049402 347850100 431643950 448909708 561137135 656098804 820123505 863287900 1122274270 1640247010 2132321113 2244548540 2805685675 3280494020 4100617525 4264642226 5611371350 8201235050 8529284452 10661605565 11222742700 16402470100 21323211130 42646422260 53308027825 106616055650 213232111300