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213121011050300 = 225210121991959533
BaseRepresentation
bin110000011101010100011010…
…001010000110011100111100
31000221121011120200202212121202
4300131110122022012130330
5210413233312312102200
62033134235120515032
762614325221125143
oct6035243212063474
91027534520685552
10213121011050300
11619a8127759221
121baa034347ba78
1391bc2c073a472
143a8b17d37875a
151998b773421d5
hexc1d51a28673c

213121011050300 has 72 divisors (see below), whose sum is σ = 467073255627552. Its totient is φ = 84400434720000.

The previous prime is 213121011050281. The next prime is 213121011050333. The reversal of 213121011050300 is 3050110121312.

It is a super-2 number, since 2×2131210110503002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221629334 + ... + 222588866.

Almost surely, 2213121011050300 is an apocalyptic number.

213121011050300 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 213121011050300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233536627813776).

213121011050300 is an abundant number, since it is smaller than the sum of its proper divisors (253952244577252).

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

213121011050300 is a wasteful number, since it uses less digits than its factorization.

213121011050300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981639 (or 981632 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 213121011050300 its reverse (3050110121312), we get a palindrome (216171121171612).

The spelling of 213121011050300 in words is "two hundred thirteen trillion, one hundred twenty-one billion, eleven million, fifty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 21991 43982 87964 109955 219910 439820 549775 959533 1099550 1919066 2199100 2221091 3838132 4442182 4797665 8884364 9595330 11105455 19190660 22210910 23988325 44421820 47976650 55527275 95953300 96912833 111054550 193825666 222109100 387651332 484564165 969128330 1938256660 2422820825 4845641650 9691283300 21101090203 42202180406 84404360812 105505451015 211010902030 422021804060 527527255075 1055054510150 2110109020300 2131210110503 4262420221006 8524840442012 10656050552515 21312101105030 42624202210060 53280252762575 106560505525150 213121011050300