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20002200002120 = 2357532902346441
BaseRepresentation
bin1001000110001001000000…
…00001101001111001001000
32121211012011201011012012202
410203010200001221321020
510110204001200031440
6110312514523455332
74133053106520140
oct443044001517110
977735151135182
1020002200002120
116411981499206
1222b0688387548
13b2127901633b
144d217c4d9920
1524a4830a3615
hex123120069e48

20002200002120 has 128 divisors (see below), whose sum is σ = 52407619799040. Its totient is φ = 6728126146560.

The previous prime is 20002200002119. The next prime is 20002200002177. The reversal of 20002200002120 is 2120000220002.

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, 430678100 + ... + 430724540.

It is an arithmetic number, because the mean of its divisors is an integer number (409434529680).

Almost surely, 220002200002120 is an apocalyptic number.

20002200002120 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 20002200002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26203809899520).

20002200002120 is an abundant number, since it is smaller than the sum of its proper divisors (32405419796920).

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

20002200002120 is a wasteful number, since it uses less digits than its factorization.

20002200002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75535 (or 75531 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 20002200002120 its reverse (2120000220002), we get a palindrome (22122200222122).

The spelling of 20002200002120 in words is "twenty trillion, two billion, two hundred million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 1060 1484 1855 2120 2968 3710 7420 14840 29023 46441 58046 92882 116092 145115 185764 203161 232184 232205 290230 325087 371528 406322 464410 580460 650174 812644 928820 1015805 1160920 1300348 1538219 1625288 1625435 1857640 2031610 2461373 2600696 3076438 3250870 4063220 4922746 6152876 6501740 7691095 8126440 9845492 10767533 12305752 12306865 13003480 15382190 17229611 19690984 21535066 24613730 30764380 34459222 43070132 49227460 53837665 61528760 68918444 86140264 86148055 98454920 107675330 137836888 172296110 215350660 344592220 430701320 689184440 1347857143 2695714286 5391428572 6739285715 9435000001 10782857144 13478571430 18870000002 26957142860 37740000004 47175000005 53914285720 71436428579 75480000008 94350000010 142872857158 188700000020 285745714316 357182142895 377400000040 500055000053 571491428632 714364285790 1000110000106 1428728571580 2000220000212 2500275000265 2857457143160 4000440000424 5000550000530 10001100001060 20002200002120