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21022000002120 = 23351317097885103
BaseRepresentation
bin1001100011110100100001…
…10101111011010001001000
32202102200110022202211112010
410301322100311323101020
510223411024000031440
6112413212401015520
74266534520505535
oct461722065732110
982380408684463
1021022000002120
11677541aa60167
1224362553245a0
13b9649b4024c0
14529682445d8c
15266c6cc2b580
hex131e90d7b448

21022000002120 has 128 divisors (see below), whose sum is σ = 67956980313600. Its totient is φ = 5171617618944.

The previous prime is 21022000002023. The next prime is 21022000002127. The reversal of 21022000002120 is 2120000022012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21022000002096 and 21022000002105.

It is not an unprimeable number, because it can be changed into a prime (21022000002127) 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, 1276512 + ... + 6608591.

It is an arithmetic number, because the mean of its divisors is an integer number (530913908700).

Almost surely, 221022000002120 is an apocalyptic number.

21022000002120 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 21022000002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33978490156800).

21022000002120 is an abundant number, since it is smaller than the sum of its proper divisors (46934980311480).

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

21022000002120 is a wasteful number, since it uses less digits than its factorization.

21022000002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7886839 (or 7886835 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21022000002120 its reverse (2120000022012), we get a palindrome (23142000024132).

The spelling of 21022000002120 in words is "twenty-one trillion, twenty-two billion, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 1709 3418 5127 6836 8545 10254 13672 17090 20508 22217 25635 34180 41016 44434 51270 66651 68360 88868 102540 111085 133302 177736 205080 222170 266604 333255 444340 533208 666510 888680 1333020 2666040 7885103 15770206 23655309 31540412 39425515 47310618 63080824 78851030 94621236 102506339 118276545 157702060 189242472 205012678 236553090 307519017 315404120 410025356 473106180 512531695 615038034 820050712 946212360 1025063390 1230076068 1537595085 2050126780 2460152136 3075190170 4100253560 6150380340 12300760680 13475641027 26951282054 40426923081 53902564108 67378205135 80853846162 107805128216 134756410270 161707692324 175183333351 202134615405 269512820540 323415384648 350366666702 404269230810 525550000053 539025641080 700733333404 808538461620 875916666755 1051100000106 1401466666808 1617076923240 1751833333510 2102200000212 2627750000265 3503666667020 4204400000424 5255500000530 7007333334040 10511000001060 21022000002120