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1006220189401 = 72361102455981
BaseRepresentation
bin11101010010001110110…
…01011001111011011001
310120012020012210210020021
432221013121121323121
5112441214332030101
62050130130430441
7132461034330010
oct16510731317331
93505205723207
101006220189401
11358810079299
12143019132421
1373b69b6a29b
14369b65b1a77
151b2928955a1
hexea47659ed9

1006220189401 has 16 divisors (see below), whose sum is σ = 1219636009728. Its totient is φ = 811451361600.

The previous prime is 1006220189363. The next prime is 1006220189411. The reversal of 1006220189401 is 1049810226001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1006220189401 - 29 = 1006220188889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006220189411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51218170 + ... + 51237811.

It is an arithmetic number, because the mean of its divisors is an integer number (76227250608).

Almost surely, 21006220189401 is an apocalyptic number.

It is an amenable number.

1006220189401 is a deficient number, since it is larger than the sum of its proper divisors (213415820327).

1006220189401 is a wasteful number, since it uses less digits than its factorization.

1006220189401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102456072.

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 1006220189401 in words is "one trillion, six billion, two hundred twenty million, one hundred eighty-nine thousand, four hundred one".

Divisors: 1 7 23 61 161 427 1403 9821 102455981 717191867 2356487563 6249814841 16495412941 43748703887 143745741343 1006220189401