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20020220001100 = 22521172796725889
BaseRepresentation
bin1001000110101010100100…
…00110011111101101001100
32121212220200112221222200101
410203111102012133231030
510111002402310013400
6110325055002540444
74134261500135254
oct443252206375514
977786615858611
1020020220001100
1164195892a0150
1222b4077207724
13b22b8b429727
144d2dab850964
1524ab8a0ac56a
hex12355219fb4c

20020220001100 has 144 divisors (see below), whose sum is σ = 47509424202240. Its totient is φ = 7262267443200.

The previous prime is 20020220001077. The next prime is 20020220001121. The reversal of 20020220001100 is 110002202002.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 773296956 + ... + 773322844.

It is an arithmetic number, because the mean of its divisors is an integer number (329926556960).

Almost surely, 220020220001100 is an apocalyptic number.

20020220001100 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 20020220001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23754712101120).

20020220001100 is an abundant number, since it is smaller than the sum of its proper divisors (27489204201140).

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

20020220001100 is a wasteful number, since it uses less digits than its factorization.

20020220001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27608 (or 27601 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20020220001100 its reverse (110002202002), we get a palindrome (20130222203102).

The spelling of 20020220001100 in words is "twenty trillion, twenty billion, two hundred twenty million, one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 727 967 1100 1454 1934 2908 3635 3868 4835 7270 7997 9670 10637 14540 15994 18175 19340 21274 24175 25889 31988 36350 39985 42548 48350 51778 53185 72700 79970 96700 103556 106370 129445 159940 199925 212740 258890 265925 284779 399850 517780 531850 569558 647225 703009 799700 1063700 1139116 1294450 1406018 1423895 2588900 2812036 2847790 3515045 5695580 7030090 7119475 7733099 14060180 14238950 15466198 17575225 18821303 25034663 28477900 30932396 35150450 37642606 38665495 50069326 70300900 75285212 77330990 94106515 100138652 125173315 154661980 188213030 193327475 207034333 250346630 275381293 376426060 386654950 414068666 470532575 500693260 550762586 625866575 773309900 828137332 941065150 1035171665 1101525172 1251733150 1376906465 1882130300 2070343330 2503466300 2753812930 4140686660 5175858325 5507625860 6884532325 10351716650 13769064650 18200200001 20703433300 27538129300 36400400002 72800800004 91001000005 182002000010 200202200011 364004000020 400404400022 455005000025 800808800044 910010000050 1001011000055 1820020000100 2002022000110 4004044000220 5005055000275 10010110000550 20020220001100