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1042224102220 = 225761911133963
BaseRepresentation
bin11110010101010010110…
…01011011101101001100
310200122011101112001122211
433022221121123231030
5114033433332232340
62114442515320204
7135204166461610
oct17125131335514
93618141461584
101042224102220
11372006375944
12149ba68b0064
137738706b102
1438630167340
151c19d62b5ea
hexf2a965bb4c

1042224102220 has 96 divisors (see below), whose sum is σ = 2545153099776. Its totient is φ = 351087609600.

The previous prime is 1042224102209. The next prime is 1042224102221. The reversal of 1042224102220 is 222014222401.

It is a junction number, because it is equal to n+sod(n) for n = 1042224102191 and 1042224102200.

It is not an unprimeable number, because it can be changed into a prime (1042224102221) 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, 7712959 + ... + 7846921.

It is an arithmetic number, because the mean of its divisors is an integer number (26512011456).

Almost surely, 21042224102220 is an apocalyptic number.

1042224102220 is a gapful number since it is divisible by the number (10) 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 1042224102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272576549888).

1042224102220 is an abundant number, since it is smaller than the sum of its proper divisors (1502928997556).

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

1042224102220 is a wasteful number, since it uses less digits than its factorization.

1042224102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134951 (or 134949 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 1042224102220 its reverse (222014222401), we get a palindrome (1264238324621).

The spelling of 1042224102220 in words is "one trillion, forty-two billion, two hundred twenty-four million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 911 1220 1708 1822 2135 3644 4270 4555 6377 8540 9110 12754 18220 25508 31885 55571 63770 111142 127540 133963 222284 267926 277855 388997 535852 555710 669815 777994 937741 1111420 1339630 1555988 1875482 1944985 2679260 3750964 3889970 4688705 7779940 8171743 9377410 16343486 18754820 32686972 40858715 57202201 81717430 114404402 122040293 163434860 228808804 244080586 286011005 488161172 572022010 610201465 854282051 1144044020 1220402930 1708564102 2440805860 3417128204 4271410255 7444457873 8542820510 14888915746 17085641020 29777831492 37222289365 52111205111 74444578730 104222410222 148889157460 208444820444 260556025555 521112051110 1042224102220