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20313032220 = 223251333725759
BaseRepresentation
bin10010111010110000…
…000100011000011100
31221102122112221201200
4102322300010120130
5313100114012340
613155350435500
71316242632165
oct227260043034
957378487650
1020313032220
1186841a4838
123b2a962b90
131bb94b94c0
14da9acc76c
157dd4a1330
hex4bac0461c

20313032220 has 144 divisors (see below), whose sum is σ = 66555390720. Its totient is φ = 4985100288.

The previous prime is 20313032197. The next prime is 20313032237. The reversal of 20313032220 is 2223031302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20313032193 and 20313032202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 775701 + ... + 801459.

Almost surely, 220313032220 is an apocalyptic number.

20313032220 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 20313032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33277695360).

20313032220 is an abundant number, since it is smaller than the sum of its proper divisors (46242358500).

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

20313032220 is a wasteful number, since it uses less digits than its factorization.

20313032220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26124 (or 26119 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20313032220 its reverse (2223031302), we get a palindrome (22536063522).

The spelling of 20313032220 in words is "twenty billion, three hundred thirteen million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 337 390 468 585 674 780 1011 1170 1348 1685 2022 2340 3033 3370 4044 4381 5055 6066 6740 8762 10110 12132 13143 15165 17524 20220 21905 25759 26286 30330 39429 43810 51518 52572 60660 65715 77277 78858 87620 103036 128795 131430 154554 157716 197145 231831 257590 262860 309108 334867 386385 394290 463662 515180 669734 772770 788580 927324 1004601 1159155 1339468 1545540 1674335 2009202 2318310 3013803 3348670 4018404 4636620 5023005 6027606 6697340 8680783 10046010 12055212 15069015 17361566 20092020 26042349 30138030 34723132 43403915 52084698 60276060 78127047 86807830 104169396 112850179 130211745 156254094 173615660 225700358 260423490 312508188 338550537 390635235 451400716 520846980 564250895 677101074 781270470 1015651611 1128501790 1354202148 1562540940 1692752685 2031303222 2257003580 3385505370 4062606444 5078258055 6771010740 10156516110 20313032220