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10054530220 = 2257379711999
BaseRepresentation
bin10010101110100101…
…11111010010101100
3221221201101001112011
421113102333102230
5131042424431340
64341411251004
7504106045120
oct112722772254
927851331464
1010054530220
11429a57a409
121b472a9a64
13c430a0887
146b54b9580
153dca800ea
hex2574bf4ac

10054530220 has 96 divisors (see below), whose sum is σ = 24820992000. Its totient is φ = 3348967680.

The previous prime is 10054530217. The next prime is 10054530223. The reversal of 10054530220 is 2203545001.

It is an interprime number because it is at equal distance from previous prime (10054530217) and next prime (10054530223).

It is a junction number, because it is equal to n+sod(n) for n = 10054530191 and 10054530200.

It is not an unprimeable number, because it can be changed into a prime (10054530223) by changing a digit.

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, 5028781 + ... + 5030779.

It is an arithmetic number, because the mean of its divisors is an integer number (258552000).

Almost surely, 210054530220 is an apocalyptic number.

10054530220 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 10054530220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12410496000).

10054530220 is an abundant number, since it is smaller than the sum of its proper divisors (14766461780).

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

10054530220 is a wasteful number, since it uses less digits than its factorization.

10054530220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The spelling of 10054530220 in words is "ten billion, fifty-four million, five hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 971 1036 1295 1942 1999 2590 3884 3998 4855 5180 6797 7996 9710 9995 13594 13993 19420 19990 27188 27986 33985 35927 39980 55972 67970 69965 71854 73963 135940 139930 143708 147926 179635 251489 279860 295852 359270 369815 502978 517741 718540 739630 1005956 1035482 1257445 1479260 1941029 2070964 2514890 2588705 3882058 5029780 5177410 7764116 9705145 10354820 13587203 19410290 27174406 38820580 54348812 67936015 71818073 135872030 143636146 271744060 287272292 359090365 502726511 718180730 1005453022 1436361460 2010906044 2513632555 5027265110 10054530220