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1002021012019 = 194310119163577
BaseRepresentation
bin11101001010011010001…
…10110100001000110011
310112210101120022110210001
432211031012310020303
5112404114334341034
62044153323450431
7132252005033236
oct16451506641063
93483346273701
101002021012019
11356a55814165
12142246986a17
137364abbbb41
14366d8a1141d
151b0e8dc9a14
hexe94d1b4233

1002021012019 has 32 divisors (see below), whose sum is σ = 1095698165760. Its totient is φ = 913205664000.

The previous prime is 1002021011977. The next prime is 1002021012053. The reversal of 1002021012019 is 9102101202001.

It is a happy number.

It is not a de Polignac number, because 1002021012019 - 29 = 1002021011507 is a prime.

It is a super-2 number, since 2×10020210120192 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002021011987 and 1002021012005.

It is not an unprimeable number, because it can be changed into a prime (1002021012059) 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, 15728959 + ... + 15792535.

It is an arithmetic number, because the mean of its divisors is an integer number (34240567680).

Almost surely, 21002021012019 is an apocalyptic number.

1002021012019 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1002021012019 is a deficient number, since it is larger than the sum of its proper divisors (93677153741).

1002021012019 is a wasteful number, since it uses less digits than its factorization.

1002021012019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63931.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 1002021012019 in words is "one trillion, two billion, twenty-one million, twelve thousand, nineteen".

Divisors: 1 19 43 101 191 817 1919 3629 4343 8213 19291 63577 82517 156047 366529 829513 1207963 2733811 6421277 12143207 15760747 51942409 122004263 230720933 276114911 522157901 1226463907 5246183309 9921000119 23302814233 52737948001 1002021012019