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213100980 = 223523307503
BaseRepresentation
bin11001011001110…
…10100110110100
3112211222122120220
430230322212310
5414023212410
633051254340
75165220441
oct1454724664
9484878526
10213100980
11aa320a14
125b44a3b0
13351c3471
14204329c8
1513a96070
hexcb3a9b4

213100980 has 96 divisors (see below), whose sum is σ = 625895424. Its totient is φ = 54071424.

The previous prime is 213100931. The next prime is 213100997. The reversal of 213100980 is 89001312.

It is a self number, because there is not a number n which added to its sum of digits gives 213100980.

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, 423409 + ... + 423911.

It is an arithmetic number, because the mean of its divisors is an integer number (6519744).

Almost surely, 2213100980 is an apocalyptic number.

213100980 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 213100980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312947712).

213100980 is an abundant number, since it is smaller than the sum of its proper divisors (412794444).

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

213100980 is a wasteful number, since it uses less digits than its factorization.

213100980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 213100980 is about 14597.9786271936. The cubic root of 213100980 is about 597.3036229587.

The spelling of 213100980 in words is "two hundred thirteen million, one hundred thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 307 345 460 503 614 690 921 1006 1228 1380 1509 1535 1842 2012 2515 3018 3070 3684 4605 5030 6036 6140 7061 7545 9210 10060 11569 14122 15090 18420 21183 23138 28244 30180 34707 35305 42366 46276 57845 69414 70610 84732 105915 115690 138828 141220 154421 173535 211830 231380 308842 347070 423660 463263 617684 694140 772105 926526 1544210 1853052 2316315 3088420 3551683 4632630 7103366 9265260 10655049 14206732 17758415 21310098 35516830 42620196 53275245 71033660 106550490 213100980