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1002122212219 = 59839714914159
BaseRepresentation
bin11101001010100110010…
…00110111001101111011
310112210122121201222100121
432211103020313031323
5112404321241242334
62044211340514111
7132254344154452
oct16452310671573
93483577658317
101002122212219
11356aa7955397
1214227484b937
1373665b62a0b
1436708235b99
151b102c19db4
hexe95323737b

1002122212219 has 32 divisors (see below), whose sum is σ = 1049086080000. Its totient is φ = 956702045184.

The previous prime is 1002122212211. The next prime is 1002122212321. The reversal of 1002122212219 is 9122122212001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1002122212219 - 23 = 1002122212211 is a prime.

It is a super-2 number, since 2×10021222122192 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002122212193 and 1002122212202.

It is not an unprimeable number, because it can be changed into a prime (1002122212211) 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 31 ways as a sum of consecutive naturals, for example, 70769262 + ... + 70783420.

It is an arithmetic number, because the mean of its divisors is an integer number (32783940000).

Almost surely, 21002122212219 is an apocalyptic number.

1002122212219 is a deficient number, since it is larger than the sum of its proper divisors (46963867781).

1002122212219 is a wasteful number, since it uses less digits than its factorization.

1002122212219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14547.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 1002122212219 in words is "one trillion, two billion, one hundred twenty-two million, two hundred twelve thousand, two hundred nineteen".

Divisors: 1 59 83 97 149 4897 5723 8051 8791 12367 14159 14453 475009 729653 835381 852727 1175197 1199599 1373423 2109691 69336623 70776341 81031957 113994109 124471769 175104353 204640027 6725652431 10331156827 12073761593 16985122241 1002122212219