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10042540000220 = 22571310613519917
BaseRepresentation
bin1001001000100011011000…
…0001111000001111011100
31022120001112212202011121002
42102020312001320033130
52304014110220001340
633205251300525432
72054356334362460
oct222106601701734
938501485664532
1010042540000220
1132220210268a2
12116238a3b0878
1357b013503ba0
1426a0c0ba04a0
15126369907715
hex922360783dc

10042540000220 has 96 divisors (see below), whose sum is σ = 25958599003008. Its totient is φ = 3177992788992.

The previous prime is 10042540000217. The next prime is 10042540000253. The reversal of 10042540000220 is 2200004524001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10042540000192 and 10042540000201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19055702 + ... + 19575618.

It is an arithmetic number, because the mean of its divisors is an integer number (270402072948).

Almost surely, 210042540000220 is an apocalyptic number.

10042540000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042540000220 is an abundant number, since it is smaller than the sum of its proper divisors (15916059002788).

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

10042540000220 is a wasteful number, since it uses less digits than its factorization.

10042540000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530559 (or 530557 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 10042540000220 its reverse (2200004524001), we get a palindrome (12242544524221).

The spelling of 10042540000220 in words is "ten trillion, forty-two billion, five hundred forty million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 10613 21226 42452 53065 74291 106130 137969 148582 212260 275938 297164 371455 519917 551876 689845 742910 965783 1039834 1379690 1485820 1931566 2079668 2599585 2759380 3639419 3863132 4828915 5199170 6758921 7278838 9657830 10398340 13517842 14557676 18197095 19315660 27035684 33794605 36394190 47312447 67589210 72788380 94624894 135178420 189249788 236562235 473124470 946248940 5517879121 11035758242 22071516484 27589395605 38625153847 55178791210 71732428573 77250307694 110357582420 143464857146 154500615388 193125769235 286929714292 358662142865 386251538470 502127000011 717324285730 772503076940 1004254000022 1434648571460 2008508000044 2510635000055 5021270000110 10042540000220