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10021210020 = 2232599156179
BaseRepresentation
bin10010101010100111…
…11000011110100100
3221212101200012210200
421111103320132210
5131010412210040
64334221150500
7503222610513
oct112523703644
927771605720
1010021210020
114282791458
121b380bb430
13c39205593
146b0cc467a
153d9b9c630
hex2554f87a4

10021210020 has 72 divisors (see below), whose sum is σ = 30428885760. Its totient is φ = 2669578560.

The previous prime is 10021210019. The next prime is 10021210021. The reversal of 10021210020 is 2001212001.

10021210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10021210019) and next prime (10021210021).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10021209984 and 10021210011.

It is not an unprimeable number, because it can be changed into a prime (10021210021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150291 + ... + 206469.

Almost surely, 210021210020 is an apocalyptic number.

10021210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021210020 is an abundant number, since it is smaller than the sum of its proper divisors (20407675740).

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

10021210020 is a wasteful number, since it uses less digits than its factorization.

10021210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57185 (or 57180 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10021210020 its reverse (2001212001), we get a palindrome (12022422021).

The spelling of 10021210020 in words is "ten billion, twenty-one million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 991 1982 2973 3964 4955 5946 8919 9910 11892 14865 17838 19820 29730 35676 44595 56179 59460 89190 112358 168537 178380 224716 280895 337074 505611 561790 674148 842685 1011222 1123580 1685370 2022444 2528055 3370740 5056110 10112220 55673389 111346778 167020167 222693556 278366945 334040334 501060501 556733890 668080668 835100835 1002121002 1113467780 1670201670 2004242004 2505302505 3340403340 5010605010 10021210020