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20330642310 = 235112319713597
BaseRepresentation
bin10010111011110011…
…001111101110000110
31221110212200122020020
4102323303033232012
5313114121023220
613201220120010
71316545415436
oct227363175606
957425618206
1020330642310
118693132530
123b34836006
131bc0043b84
14dac1942c6
157decce040
hex4bbccfb86

20330642310 has 128 divisors (see below), whose sum is σ = 55829689344. Its totient is φ = 4690076160.

The previous prime is 20330642281. The next prime is 20330642317. The reversal of 20330642310 is 1324603302.

It is a super-4 number, since 4×203306423104 (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20330642317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1488432 + ... + 1502028.

It is an arithmetic number, because the mean of its divisors is an integer number (436169448).

Almost surely, 220330642310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20330642310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27914844672).

20330642310 is an abundant number, since it is smaller than the sum of its proper divisors (35499047034).

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

20330642310 is a wasteful number, since it uses less digits than its factorization.

20330642310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13838.

The product of its (nonzero) digits is 2592, while the sum is 24.

The spelling of 20330642310 in words is "twenty billion, three hundred thirty million, six hundred forty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 197 230 253 330 345 394 506 591 690 759 985 1182 1265 1518 1970 2167 2530 2955 3795 4334 4531 5910 6501 7590 9062 10835 13002 13593 13597 21670 22655 27186 27194 32505 40791 45310 49841 65010 67965 67985 81582 99682 135930 135970 149523 149567 203955 249205 299046 299134 312731 407910 448701 498410 625462 747615 747835 897402 938193 1495230 1495670 1563655 1876386 2243505 2678609 3127310 3440041 4487010 4690965 5357218 6880082 8035827 9381930 10320123 13393045 16071654 17200205 20640246 26786090 29464699 34400410 40179135 51600615 58929398 61608007 80358270 88394097 103201230 123216014 147323495 176788194 184824021 294646990 308040035 369648042 441970485 616080070 677688077 883940970 924120105 1355376154 1848240210 2033064231 3388440385 4066128462 6776880770 10165321155 20330642310