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213032030120 = 235713127460829
BaseRepresentation
bin1100011001100110110…
…0101100111110101000
3202100212120100102000122
43012121230230332220
511442242144430440
6241510543422412
721251063243630
oct3063154547650
9670776312018
10213032030120
118238a033328
1235353bb4a08
1317120226bc0
14a44cbc76c0
15581c6017b5
hex3199b2cfa8

213032030120 has 128 divisors (see below), whose sum is σ = 594581299200. Its totient is φ = 66890105856.

The previous prime is 213032030119. The next prime is 213032030131. The reversal of 213032030120 is 21030230312.

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, 231866 + ... + 692694.

It is an arithmetic number, because the mean of its divisors is an integer number (4645166400).

Almost surely, 2213032030120 is an apocalyptic number.

213032030120 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 213032030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297290649600).

213032030120 is an abundant number, since it is smaller than the sum of its proper divisors (381549269080).

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

213032030120 is a wasteful number, since it uses less digits than its factorization.

213032030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460987 (or 460983 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 213032030120 its reverse (21030230312), we get a palindrome (234062260432).

The spelling of 213032030120 in words is "two hundred thirteen billion, thirty-two million, thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 127 130 140 182 254 260 280 364 455 508 520 635 728 889 910 1016 1270 1651 1778 1820 2540 3302 3556 3640 4445 5080 6604 7112 8255 8890 11557 13208 16510 17780 23114 33020 35560 46228 57785 66040 92456 115570 231140 460829 462280 921658 1843316 2304145 3225803 3686632 4608290 5990777 6451606 9216580 11981554 12903212 16129015 18433160 23963108 25806424 29953885 32258030 41935439 47926216 58525283 59907770 64516060 83870878 117050566 119815540 129032120 167741756 209677195 234101132 239631080 292626415 335483512 409676981 419354390 468202264 585252830 760828679 819353962 838708780 1170505660 1521657358 1638707924 1677417560 2048384905 2341011320 3043314716 3277415848 3804143395 4096769810 5325800753 6086629432 7608286790 8193539620 10651601506 15216573580 16387079240 21303203012 26629003765 30433147160 42606406024 53258007530 106516015060 213032030120