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213233030120 = 235117910160737
BaseRepresentation
bin1100011010010110101…
…1011101001111101000
3202101101120120021012002
43012211223131033220
511443200123430440
6241542523510132
721256053564515
oct3064553351750
9671346507162
10213233030120
1182482539630
12353ab388348
1317152a71406
14a46b78a30c
1558300a7115
hex31a5add3e8

213233030120 has 128 divisors (see below), whose sum is σ = 535271846400. Its totient is φ = 75798528000.

The previous prime is 213233030081. The next prime is 213233030147. The reversal of 213233030120 is 21030332312.

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

It is a junction number, because it is equal to n+sod(n) for n = 213233030092 and 213233030101.

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, 3480392 + ... + 3541128.

It is an arithmetic number, because the mean of its divisors is an integer number (4181811300).

Almost surely, 2213233030120 is an apocalyptic number.

213233030120 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 213233030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267635923200).

213233030120 is an abundant number, since it is smaller than the sum of its proper divisors (322038816280).

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

213233030120 is a wasteful number, since it uses less digits than its factorization.

213233030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60939 (or 60935 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 213233030120 its reverse (21030332312), we get a palindrome (234263362432).

The spelling of 213233030120 in words is "two hundred thirteen billion, two hundred thirty-three million, thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 79 88 101 110 158 202 220 316 395 404 440 505 632 790 808 869 1010 1111 1580 1738 2020 2222 3160 3476 4040 4345 4444 5555 6952 7979 8690 8888 11110 15958 17380 22220 31916 34760 39895 44440 60737 63832 79790 87769 121474 159580 175538 242948 303685 319160 351076 438845 485896 607370 668107 702152 877690 1214740 1336214 1755380 2429480 2672428 3340535 3510760 4798223 5344856 6134437 6681070 9596446 12268874 13362140 19192892 23991115 24537748 26724280 30672185 38385784 47982230 49075496 52780453 61344370 67478807 95964460 105560906 122688740 134957614 191928920 211121812 245377480 263902265 269915228 337394035 422243624 484620523 527804530 539830456 674788070 969241046 1055609060 1349576140 1938482092 2111218120 2423102615 2699152280 3876964184 4846205230 5330825753 9692410460 10661651506 19384820920 21323303012 26654128765 42646606024 53308257530 106616515060 213233030120