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213002011220 = 225315911515059
BaseRepresentation
bin1100011001011111101…
…0001100001001010100
3202100210110212021211112
43012113322030021110
511442212003324340
6241503552154152
721250250136155
oct3062772141124
9670713767745
10213002011220
118237409a719
1235345b38958
1317116c4643b
14a448c1192c
155819b72065
hex3197e8c254

213002011220 has 96 divisors (see below), whose sum is σ = 470060236800. Its totient is φ = 80968464000.

The previous prime is 213002011171. The next prime is 213002011247. The reversal of 213002011220 is 22110200312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 213002011195 and 213002011204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42101051 + ... + 42106109.

It is an arithmetic number, because the mean of its divisors is an integer number (4896460800).

Almost surely, 2213002011220 is an apocalyptic number.

213002011220 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 213002011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235030118400).

213002011220 is an abundant number, since it is smaller than the sum of its proper divisors (257058225580).

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

213002011220 is a wasteful number, since it uses less digits than its factorization.

213002011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6309 (or 6307 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 213002011220 its reverse (22110200312), we get a palindrome (235112211532).

The spelling of 213002011220 in words is "two hundred thirteen billion, two million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 59 62 118 124 155 236 295 310 590 620 1151 1180 1829 2302 3658 4604 5059 5755 7316 9145 10118 11510 18290 20236 23020 25295 35681 36580 50590 67909 71362 101180 135818 142724 156829 178405 271636 298481 313658 339545 356810 596962 627316 679090 713620 784145 1193924 1358180 1492405 1568290 2105179 2984810 3136580 4210358 5822909 5969620 8420716 9252911 10525895 11645818 18505822 21051790 23291636 29114545 37011644 42103580 46264555 58229090 92529110 116458180 180510179 185058220 343551631 361020358 687103262 722040716 902550895 1374206524 1717758155 1805101790 3435516310 3610203580 6871032620 10650100561 21300201122 42600402244 53250502805 106501005610 213002011220