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10002200012021 = 73164171908093
BaseRepresentation
bin1001000110001101000110…
…0101000010010011110101
31022102012102111221102222002
42101203101211002103311
52302334001200341041
633134540334545045
72051430561213440
oct221432145022365
938365374842862
1010002200012021
113206a00171678
1211565b0668185
13577284b92499
142681753b0657
151252a816359b
hex918d19424f5

10002200012021 has 16 divisors (see below), whose sum is σ = 11818239065088. Its totient is φ = 8283812198400.

The previous prime is 10002200011949. The next prime is 10002200012059. The reversal of 10002200012021 is 12021000220001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10002200012021 - 210 = 10002200010997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002200011993 and 10002200012011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002200012071) 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 15 ways as a sum of consecutive naturals, for example, 35814950 + ... + 36093143.

It is an arithmetic number, because the mean of its divisors is an integer number (738639941568).

Almost surely, 210002200012021 is an apocalyptic number.

It is an amenable number.

10002200012021 is a deficient number, since it is larger than the sum of its proper divisors (1816039053067).

10002200012021 is an equidigital number, since it uses as much as digits as its factorization.

10002200012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71908772.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10002200012021 its reverse (12021000220001), we get a palindrome (22023200232022).

The spelling of 10002200012021 in words is "ten trillion, two billion, two hundred million, twelve thousand, twenty-one".

Divisors: 1 7 31 217 641 4487 19871 139097 71908093 503356651 2229150883 15604056181 46093087613 322651613291 1428885716003 10002200012021