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20331303331220 = 22572196553166627
BaseRepresentation
bin1001001111101110000000…
…00111001110010110010100
32122222122122111010112002122
410213313000013032112110
510131102002123044340
6111124023302155112
74165613435616500
oct447670007162624
978878574115078
1020331303331220
116529503770402
122344414422a98
13b4630650aa2b
1450407c955300
15253ce57badb5
hex127dc01ce594

20331303331220 has 144 divisors (see below), whose sum is σ = 52288786186560. Its totient is φ = 6602804522496.

The previous prime is 20331303331187. The next prime is 20331303331249. The reversal of 20331303331220 is 2213330313302.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20331303331220.

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, 121933547 + ... + 122100173.

It is an arithmetic number, because the mean of its divisors is an integer number (363116570740).

Almost surely, 220331303331220 is an apocalyptic number.

20331303331220 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 20331303331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26144393093280).

20331303331220 is an abundant number, since it is smaller than the sum of its proper divisors (31957482855340).

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

20331303331220 is a wasteful number, since it uses less digits than its factorization.

20331303331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173222 (or 173213 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 20331303331220 its reverse (2213330313302), we get a palindrome (22544633644522).

The spelling of 20331303331220 in words is "twenty trillion, three hundred thirty-one billion, three hundred three million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 490 532 665 931 980 1330 1862 2660 3724 4655 6553 9310 13106 18620 26212 32765 45871 65530 91742 124507 131060 166627 183484 229355 249014 321097 333254 458710 498028 622535 642194 666508 833135 871549 917420 1166389 1245070 1284388 1605485 1666270 1743098 2332778 2490140 3165913 3210970 3332540 3486196 4357745 4665556 5831945 6100843 6331826 6421940 8164723 8715490 11663890 12201686 12663652 15829565 16329446 17430980 22161391 23327780 24403372 30504215 31659130 32658892 40823615 44322782 61008430 63318260 81647230 88645564 110806955 122016860 155129737 163294460 221613910 310259474 443227820 620518948 775648685 1091906731 1551297370 2183813462 3102594740 4367626924 5459533655 7643347117 10919067310 15286694234 20746227889 21838134620 30573388468 38216735585 41492455778 53503429819 76433471170 82984911556 103731139445 107006859638 145223595223 152866942340 207462278890 214013719276 267517149095 290447190446 414924557780 535034298190 580894380892 726117976115 1016565166561 1070068596380 1452235952230 2033130333122 2904471904460 4066260666244 5082825832805 10165651665610 20331303331220