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1020121320130 = 251137614108919
BaseRepresentation
bin11101101100000111111…
…10000000101011000010
310121112010000020101122221
432312003332000223002
5113203202024221010
62100345352121254
7133462362102643
oct16660376005302
93545100211587
101020121320130
113636a3988590
1214585869622a
1375273b40223
14375348ad6ca
151b807e98dda
hexed83f80ac2

1020121320130 has 64 divisors (see below), whose sum is σ = 2091012952320. Its totient is φ = 355010515200.

The previous prime is 1020121320121. The next prime is 1020121320139. The reversal of 1020121320130 is 310231210201.

It is an interprime number because it is at equal distance from previous prime (1020121320121) and next prime (1020121320139).

It is not an unprimeable number, because it can be changed into a prime (1020121320139) 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, 1806190 + ... + 2302729.

It is an arithmetic number, because the mean of its divisors is an integer number (32672077380).

Almost surely, 21020121320130 is an apocalyptic number.

1020121320130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020121320130 is an abundant number, since it is smaller than the sum of its proper divisors (1070891632190).

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

1020121320130 is a wasteful number, since it uses less digits than its factorization.

1020121320130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4109035.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1020121320130 its reverse (310231210201), we get a palindrome (1330352530331).

The spelling of 1020121320130 in words is "one trillion, twenty billion, one hundred twenty-one million, three hundred twenty thousand, one hundred thirty".

Divisors: 1 2 5 10 11 22 37 55 61 74 110 122 185 305 370 407 610 671 814 1342 2035 2257 3355 4070 4514 6710 11285 22570 24827 49654 124135 248270 4108919 8217838 20544595 41089190 45198109 90396218 152030003 225990545 250644059 304060006 451981090 501288118 760150015 1253220295 1520300030 1672330033 2506440590 2757084649 3344660066 5514169298 8361650165 9273830183 13785423245 16723300330 18547660366 27570846490 46369150915 92738301830 102012132013 204024264026 510060660065 1020121320130