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20021130233130 = 23513531587761007
BaseRepresentation
bin1001000110101100010000…
…10110110000010100101010
32121220000000222201120021210
410203112020112300110222
510111011233314430010
6110325325200213550
74134323162031045
oct443261026602452
977800028646253
1020021130233130
116419a06080a24
1222b429000a2b6
13b22ca4b96470
144d30566b1c5c
1524abdee5ab20
hex1235885b052a

20021130233130 has 128 divisors (see below), whose sum is σ = 52727463226368. Its totient is φ = 4834908029952.

The previous prime is 20021130233107. The next prime is 20021130233171. The reversal of 20021130233130 is 3133203112002.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20021130233097 and 20021130233106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 328147087 + ... + 328208093.

It is an arithmetic number, because the mean of its divisors is an integer number (411933306456).

Almost surely, 220021130233130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20021130233130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26363731613184).

20021130233130 is an abundant number, since it is smaller than the sum of its proper divisors (32706332993238).

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

20021130233130 is a wasteful number, since it uses less digits than its factorization.

20021130233130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76960.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 20021130233130 its reverse (3133203112002), we get a palindrome (23154333345132).

The spelling of 20021130233130 in words is "twenty trillion, twenty-one billion, one hundred thirty million, two hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 53 65 78 106 130 159 195 265 318 390 530 689 795 1378 1590 2067 3445 4134 6890 10335 15877 20670 31754 47631 61007 79385 95262 122014 158770 183021 206401 238155 305035 366042 412802 476310 610070 619203 793091 841481 915105 1032005 1238406 1586182 1682962 1830210 2064010 2379273 2524443 3096015 3233371 3965455 4207405 4758546 5048886 6192030 6466742 7930910 8414810 9700113 10939253 11896365 12622215 16166855 19400226 21878506 23792730 25244430 32333710 32817759 42033823 48500565 54696265 65635518 84067646 97001130 109392530 126101469 164088795 210169115 252202938 328177590 420338230 630507345 968608139 1261014690 1937216278 2905824417 4843040695 5811648834 9686081390 12591905807 14529122085 25183811614 29058244170 37775717421 51336231367 62959529035 75551434842 102672462734 125919058070 154008694101 188878587105 256681156835 308017388202 377757174210 513362313670 667371007771 770043470505 1334742015542 1540086941010 2002113023313 3336855038855 4004226046626 6673710077710 10010565116565 20021130233130