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21002022200120 = 23513197926907731
BaseRepresentation
bin1001100011001111010100…
…00100101010001100111000
32202100202220001000100012112
410301213222010222030320
510223044120140400440
6112400110143231452
74265226455134043
oct461475204521470
982322801010175
1021002022200120
1167679a90128a5
1224323ba8a8588
13b946364ca5a0
1452870909bc5a
1526649dde7965
hex1319ea12a338

21002022200120 has 128 divisors (see below), whose sum is σ = 54245987712000. Its totient is φ = 7253462960640.

The previous prime is 21002022200111. The next prime is 21002022200129. The reversal of 21002022200120 is 2100222020012.

It is an interprime number because it is at equal distance from previous prime (21002022200111) and next prime (21002022200129).

It is a junction number, because it is equal to n+sod(n) for n = 21002022200095 and 21002022200104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21002022200129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12673346 + ... + 14234385.

It is an arithmetic number, because the mean of its divisors is an integer number (423796779000).

Almost surely, 221002022200120 is an apocalyptic number.

21002022200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21002022200120 is an abundant number, since it is smaller than the sum of its proper divisors (33243965511880).

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

21002022200120 is a wasteful number, since it uses less digits than its factorization.

21002022200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26907853 (or 26907849 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 21002022200120 its reverse (2100222020012), we get a palindrome (23102244220132).

The spelling of 21002022200120 in words is "twenty-one trillion, two billion, twenty-two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 79 95 104 130 152 158 190 247 260 316 380 395 494 520 632 760 790 988 1027 1235 1501 1580 1976 2054 2470 3002 3160 4108 4940 5135 6004 7505 8216 9880 10270 12008 15010 19513 20540 30020 39026 41080 60040 78052 97565 156104 195130 390260 780520 26907731 53815462 107630924 134538655 215261848 269077310 349800503 511246889 538154620 699601006 1022493778 1076309240 1399202012 1749002515 2044987556 2125710749 2556234445 2798404024 3498005030 4089975112 4251421498 5112468890 6646209557 6996010060 8502842996 10224937780 10628553745 13292419114 13992020120 17005685992 20449875560 21257107490 26584838228 27634239737 33231047785 40388504231 42514214980 53169676456 55268479474 66462095570 80777008462 85028429960 110536958948 132924191140 138171198685 161554016924 201942521155 221073917896 265848382280 276342397370 323108033848 403885042310 525050555003 552684794740 807770084620 1050101110006 1105369589480 1615540169240 2100202220012 2625252775015 4200404440024 5250505550030 10501011100060 21002022200120