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20021220011120 = 2451733314370453
BaseRepresentation
bin1001000110101100011011…
…01101001110110001110000
32121220000021020122202112112
410203112031231032301300
510111011424310323440
6110325342124344452
74134325332110336
oct443261555166160
977800236582475
1020021220011120
116419a51820509
1222b42b60a5128
13b22cba66b333
144d30645a1b56
1524abe7c91965
hex12358db4ec70

20021220011120 has 80 divisors (see below), whose sum is σ = 46959863920992. Its totient is φ = 7938139376640.

The previous prime is 20021220011113. The next prime is 20021220011123. The reversal of 20021220011120 is 2111002212002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 20021220011095 and 20021220011104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021220011123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2395814 + ... + 6766266.

Almost surely, 220021220011120 is an apocalyptic number.

20021220011120 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 20021220011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23479931960496).

20021220011120 is an abundant number, since it is smaller than the sum of its proper divisors (26938643909872).

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

20021220011120 is a wasteful number, since it uses less digits than its factorization.

20021220011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370970 (or 4370964 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20021220011120 its reverse (2111002212002), we get a palindrome (22132222223122).

The spelling of 20021220011120 in words is "twenty trillion, twenty-one billion, two hundred twenty million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 331 346 662 692 865 1324 1384 1655 1730 2648 2768 3310 3460 5296 6620 6920 13240 13840 26480 57263 114526 229052 286315 458104 572630 916208 1145260 2290520 4370453 4581040 8740906 17481812 21852265 34963624 43704530 69927248 87409060 174818120 349636240 756088369 1446619943 1512176738 2893239886 3024353476 3780441845 5786479772 6048706952 7233099715 7560883690 11572959544 12097413904 14466199430 15121767380 23145919088 28932398860 30243534760 57864797720 60487069520 115729595440 250265250139 500530500278 1001061000556 1251326250695 2002122001112 2502652501390 4004244002224 5005305002780 10010610005560 20021220011120