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213310030120 = 235112950932843
BaseRepresentation
bin1100011010101001000…
…1001100000100101000
3202101120221110021022221
43012222101030010220
511443324331430440
6241554314123424
721261010224355
oct3065221140450
9671527407287
10213310030120
1182511a508a0
1235411120574
13171659c1145
14a477ab162c
155836c16d4a
hex31aa44c128

213310030120 has 128 divisors (see below), whose sum is σ = 542714256000. Its totient is φ = 74743137280.

The previous prime is 213310030117. The next prime is 213310030123. The reversal of 213310030120 is 21030013312.

It is an interprime number because it is at equal distance from previous prime (213310030117) and next prime (213310030123).

It is a junction number, because it is equal to n+sod(n) for n = 213310030094 and 213310030103.

It is not an unprimeable number, because it can be changed into a prime (213310030123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6478419 + ... + 6511261.

It is an arithmetic number, because the mean of its divisors is an integer number (4239955125).

Almost surely, 2213310030120 is an apocalyptic number.

213310030120 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 213310030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271357128000).

213310030120 is an abundant number, since it is smaller than the sum of its proper divisors (329404225880).

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

213310030120 is a wasteful number, since it uses less digits than its factorization.

213310030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33403 (or 33399 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 213310030120 its reverse (21030013312), we get a palindrome (234340043432).

The spelling of 213310030120 in words is "two hundred thirteen billion, three hundred ten million, thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 509 580 638 1018 1160 1276 1595 2036 2545 2552 3190 4072 5090 5599 6380 10180 11198 12760 14761 20360 22396 27995 29522 32843 44792 55990 59044 65686 73805 111980 118088 131372 147610 162371 164215 223960 262744 295220 324742 328430 361273 590440 649484 656860 722546 811855 952447 1298968 1313720 1445092 1623710 1806365 1904894 2890184 3247420 3612730 3809788 4762235 6494840 7225460 7619576 9524470 10476917 14450920 16717087 19048940 20953834 33434174 38097880 41907668 52384585 66868348 83585435 83815336 104769170 133736696 167170870 183887957 209538340 334341740 367775914 419076680 484795523 668683480 735551828 919439785 969591046 1471103656 1838879570 1939182092 2423977615 3677759140 3878364184 4847955230 5332750753 7355518280 9695910460 10665501506 19391820920 21331003012 26663753765 42662006024 53327507530 106655015060 213310030120