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21303222310120 = 23511324119556441
BaseRepresentation
bin1001101100000000010101…
…11111111001010011101000
32210102120100012011021101011
410312000022333321103220
510243012444402410440
6113150322031033304
74326051464623402
oct466001277712350
983376305137334
1021303222310120
116873711690543
12248085a06b834
13bb6b67b5b74a
1453911d75bb72
1526e22bb149ea
hex13600aff94e8

21303222310120 has 64 divisors (see below), whose sum is σ = 48557080970640. Its totient is φ = 8410833715200.

The previous prime is 21303222310063. The next prime is 21303222310133. The reversal of 21303222310120 is 2101322230312.

It can be written as a sum of positive squares in 8 ways, for example, as 1141559759844 + 20161662550276 = 1068438^2 + 4490174^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21303222310091 and 21303222310100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8688901 + ... + 10867540.

Almost surely, 221303222310120 is an apocalyptic number.

21303222310120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21303222310120 is an abundant number, since it is smaller than the sum of its proper divisors (27253858660520).

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

21303222310120 is a wasteful number, since it uses less digits than its factorization.

21303222310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19556806 (or 19556802 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 21303222310120 its reverse (2101322230312), we get a palindrome (23404544540432).

The spelling of 21303222310120 in words is "twenty-one trillion, three hundred three billion, two hundred twenty-two million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 113 226 241 452 482 565 904 964 1130 1205 1928 2260 2410 4520 4820 9640 27233 54466 108932 136165 217864 272330 544660 1089320 19556441 39112882 78225764 97782205 156451528 195564410 391128820 782257640 2209877833 4419755666 4713102281 8839511332 9426204562 11049389165 17679022664 18852409124 22098778330 23565511405 37704818248 44197556660 47131022810 88395113320 94262045620 188524091240 532580557753 1065161115506 2130322231012 2662902788765 4260644462024 5325805577530 10651611155060 21303222310120